Class 9

Punjab State Board PSEB 9th Class Hindi Book Solutions Hindi Grammar vartane वर्तनी Exercise Questions and Answers, Notes.

PSEB 9th Class Hindi Grammar वर्तनी

निम्नलिखित शब्दों के शुद्ध रूप लिखिए:

उत्तर:

नीचे लिखे शब्दों के शुद्ध रूप लिखिए

रूची, पइसा, साधारन, ढूढना, आर्शीवाद, समाजिक, विध्या, विषेश, रूपया, स्वस्थ, उज्जवल, विपलव, कवित्री, क्रमश, अहिल्या, उन्होने, जन्माध, पेड़, टेड़ी, कृप्या, उपगृह, आर्दश, जजमान, मिष्ठान्न, विषद।
उत्तर:
रुचि, पैसा, साधारण, ढूँढ़ना, आशीर्वाद, सामाजिक, विद्या, विशेष, रुपया, स्वास्थ्य, उज्वल, विप्लव, कवयित्री, क्रमशः, अहल्या, उन्होंने, जन्मांध, पेड़, टेढ़ी, कृपया, उपग्रह, आदर्श, यजमान, मिष्ठान, विषाद।

एक वाक्य में उत्तर दीजिए

प्रश्न 1.
वर्तनी शब्द का क्या अर्थ होता है?
उत्तर:
वर्तनी शब्द का अर्थ होता है-अनुकरण करना; पीछे-पीछे चलना।

प्रश्न 2.
वर्तनी संबंधी अशुद्धियों से बचने के लिए क्या किया जाना चाहिए?
उत्तर:
शब्दों का शुद्ध उच्चारण करना चाहिए।

प्रश्न 3.
य, व, ह के पहले पंचमाक्षर हो तो वहाँ ………. लिखा जाता है।
उत्तर:
पंचमाक्षर ही।

निम्नलिखित शब्दों के शुद्ध रूप लिखिए

प्रश्न 1.
वर्तनी से क्या तात्पर्य है?
उत्तर:
‘वर्तनी’ शब्द का अर्थ है-अनुकरण करना अथवा पीछे-पीछे चलना। लेखन व्यवस्था में वर्तनी शब्द स्तर पर शब्द की ध्वनियों के पीछे-पीछे चलती है। हिंदी भाषा जिस प्रकार बोली जाती है, वैसे ही लिखी भी जाती है। इस प्रकार उच्चरित शब्द के लेखन में प्रयोग होने वाले लिपि चिह्नों के व्यवस्थित क्रम को वर्तनी कहते हैं; जैसे-‘उ प का र’- इस उदाहरण में पहले स्थान पर ‘उ’, दूसरे स्थान पर ‘प’, तीसरे स्थान पर ‘का’ और चौथे स्थान पर ‘र’ बोलने से इसे इसी क्रम में लिखने पर शब्द ‘उपकार’ बनता है।

प्रश्न 2.
वर्तनी की परिभाषा लिखिए।
उत्तर:
लेखन में प्रयोग किए जाने वाले लिपि चिह्नों के व्यवस्थित क्रम को वर्तनी कहते हैं।

प्रश्न 3.
वर्तनी संबंधी अशुद्धियों से बचने के लिए किन बातों का विशेष ध्यान रखना चाहिए?
उत्तर:
वर्तनी संबंधी अशुद्धियों से बचने के लिए शब्दों का शुद्ध उचारण करना चाहिए क्योंकि शब्दों में ध्वनियों की एक निश्चित व्यवस्था होती है। इस व्यवस्था के अनुसार लिखने से वर्तनी की अशुद्धियाँ नहीं होती। लिखते समय शब्दों के मानक रूपों का प्रयोग करना चाहिए।

प्रश्न 4.
शुद्ध वर्तनी लेखन की नियमों का वर्णन कीजिए।
उत्तर;
शुद्ध वर्तनी लेखन के प्रमुख नियम निम्नलिखित हैं-

1. जिन व्यंजनों के अंत में खड़ी पाई जाती है, उन्हें जब दूसरे व्यंजन के साथ जोड़ते हैं तो यह हटा दी जाती है; जैसे-तथ्य में ‘थ’ को ‘४’ के रूप में प्रयोग किया है।
2. स्वर रहित पंचमाक्षर जब अपने वर्ग के व्यंजन के पहले प्रयुक्त होता है तो उसे अनुस्वार (.) के रूप में लिखा जाता है; जैसे-पंकच, दंड, पंजाब, प्रारंभ।
3. जब किसी शब्द में श, ष, स में से सभी अथवा दो का एक साथ प्रयोग हो तो उनका प्रयोग वर्णमाला क्रम से होता है; जैसे-शासन, शेषनाग।
4. जब कोई पंचमाक्षर अन्य पंचमाक्षर के साथ संयुक्त होता है तो पंचमाक्षर ही लिखा जाता है; जैसे-जन्म, निम्न, अन्न।
5. यदि य, व, ह के पहले पंचमाक्षर हो तो वहाँ पंचमाक्षर ही लिखा जाता है; जैसे-पुण्य, कन्हैया, अन्य।
6. जब य, र, ल, व और श, ष, स, ह से पहले ‘सम्’ उपसर्ग लगता है तो वहाँ ‘म्’ के स्थान पर अनुस्वार लगता है; जैसे-सम् + वाद = संवाद, सम् + सार = संसार।
7. जब किसी शब्द के अंत में ‘ई’ अथवा इसकी मात्रा पी’ हो तो उस शब्द का बहुवचन बनाते समय ‘ई’ अथवा “‘ को “f हो जाता है; जैसे-दवाई = दवाइयाँ, लड़की = लड़कियाँ।
8. जब किसी शब्द के अंत में ‘ऊ’ अथवा ‘ . ‘ हो तो बहुवचन बनाते समय उसे ‘उ’ अथवा ‘ . ‘ हो जाता है; जैसे-लटू = लट्टुओं, आलू = आलुओं।
9. ‘ट’ वर्ग के पहले तथा ‘ऋ’ के बाद ‘ष’ का प्रयोग होता है; जैसे-नष्ट, कृषि।
10. ऋ र, ष् के बाद ‘न्’ के आने पर उसे ‘ण’ हो जाता है। ‘न्’ के बीच में कोई स्वर, कवर्ग, पवर्ग, अन्तःस्थ आने पर भी ‘न्’ को ‘ण’ होता है।
11. अल्पप्राण और महाप्राण वर्गों के उच्चारण में ग़लती होने से भी अशुद्धियाँ हो जाती हैं, अत: इनके उच्चारण पर विशेष ध्यान देना चाहिए।
12. संधि के शब्दों के शुद्ध रूप संधि के नियमों के अनुसार होने चाहिए।
13. रेफ (‘) स्वर सहित र् अपने से अगले व्यंजन पर रेफ (‘) के रूप में लगता है और पदेन ‘स’ (घ) व्यंजन के नीचे तिरछा (प्र) होकर लगता है; जैसे- ध् + अ + र् + म् + अ = धर्म;
    प् + अ + र् + ध् + आ + न् + अ = प्रधान।

वर्तनी की कुछ सामान्य अशुद्धियों के शद्ध रूप यहाँ दिए जा रहे

(1) ‘अ’ की जगह ‘आ’ का प्रयोग करने से होने वाली अशुद्धियां

(2) ‘आ’ की जगह ‘अ’ का प्रयोग करने से होने वाली अशुद्धियाँ

(3) ‘इ’ की जगह ‘ई’ का प्रयोग करने से होने वाली अशुद्धियाँ

(4) ‘ई’ की जगह ‘इ’ का प्रयोग करने से होने वाली अशुद्धियाँ

(5) ‘उ’ की जगह ‘ऊ’ का प्रयोग करने से होने वाली अशुद्धियाँ

(6) ‘ऊ’ की जगह ‘उ’ का प्रयोग करने से होने वाली अशुद्धियाँ

(7) ‘ए’ की जगह ‘ऐ’ के प्रयोग से होने वाली अशुद्धियाँ

(8) ऐ की जगह ‘ए’ के प्रयोग से होने वाली अशुद्धियाँ

(9) ‘ओ’ की जगह ‘औ’ के प्रयोग से होने वाली अशुद्धियाँ

(10) ‘औ’ की जगह ‘ओ’ के प्रयोग से होने वाली अशुद्धियाँ

(11) ‘ऋ’ सम्बन्धी अशुद्धियाँ

(12) नासिक्य व्यंजन सम्बन्धी अशुद्धियाँ

(13) अनुस्वार एवं अनुनासिक सम्बन्धी अशुद्धियाँ

(14) महाप्राण की जगह अल्पप्राण के प्रयोग से होने वाली अशुद्धियाँ

(15) अल्पप्राण की जगह महाप्राण के प्रयोग से होने वाली अशुद्धियाँ

(16) अक्षर लोप सम्बन्धी अशुद्धियाँ

(17) व और ब सम्बन्धी अशुद्धियाँ

(18) ‘ष’ के स्थान पर ‘श’ के प्रयोग से होने वाली अशुद्धियाँ

(19) ‘श’ के स्थान पर ‘स’ के प्रयोग करने से होने वाली अशुद्धियाँ

(20) ‘स’ के स्थान पर ‘श्’ के प्रयोग करने से होने वाली अशुद्धियाँ :

(21) ऑ’ के स्थान पर ‘आ’, ‘ओ’ के प्रयोग करने से होने वाली अशुद्धियाँ

(22) अनावश्यक स्वर जोड़ने की अशुद्धियाँ

(23) अनावश्यक व्यंजन जोड़ने की अशुद्धियाँ

(24) अक्षरों के स्थान-परिवर्तन सम्बन्धी अशुद्धियाँ

(25) ‘छ’ और ‘क्ष’ के सम्बन्ध में अशुद्धियाँ

(26) ग्य और ‘ज्ञ’ के सम्बन्ध में अशुद्धियाँ

(27) प्रत्यय संबंधी अशुद्धियाँ

(28) संधि संबंधी अशुद्धियाँ

(29) द्वित्व व्यंजन संबंधी अशुद्धियाँ

(30) विसर्ग (:) संबंधी अशुद्धियाँ

(31) रेफ (‘) अर्थात् स्वर रहित ‘र’ संबंधी अशुद्धियाँ :

(32) पदेन ‘र’ संबंधी अशुद्धियाँ

(33) व्यंजन गुच्छों की अशुद्धियाँ:

(34) विकसित ध्वनियों की अशुद्धियाँ

(35) ‘य’ और ‘ज’ संबंधी अशुद्धियाँ :

(36) ‘ज’ और ‘ज़’ संबंधी अशुद्धियाँ :

(37) समास की अशुद्धियाँ

(38) संयुक्ताक्षरों की अशुद्धियाँ

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 4 Linear Equations in Two Variables MCQ Questions with Answers.

PSEB 9th Class Maths Chapter 4 Linear Equations in Two Variables MCQ Questions

Multiple Choice Questions and Answer

Answer each question by selecting the proper alternative from those given below each question to make the statement true:

Question 1.
If (2, – 2) is a root of 5x – 2y = k, then k = ………………. .
A. – 40
B. 6
C. 14
D. 10
Answer:
C. 14

Question 2.
If x = 2 and y = 1 is one of the solutions of 4x + ky = 11, then k = ……………… .
A. 2
B. 3
C. 5
D. 6
Answer:
B. 3

Question 3.
If (3, – 2) is one of the solutions of kx – 3y = 21, then k = ……………………. .
A. 3
B. – 3
C. 2
D. 5
Answer:
D. 5

Question 4.
The graph of 2x – 3y = 6 passes through points ……………… .
A. (2, – 3) and (- 2, 3)
B. (2, 3) and (3, 2)
C. (0, 2) and (- 3, 0)
D. (0, – 2) and (3, 0)
Answer:
D. (0, – 2) and (3, 0)

Question 5.
Expressing 4x = 2y – 7 in the y-form, we get y = ………….. .
A. 4x + 7
B. 4x + \(\frac{7}{2}\)
C. 2x + \(\frac{7}{2}\)
D. 2x – \(\frac{7}{2}\)
Answer:
C. 2x + \(\frac{7}{2}\)

Question 6.
If F = \(\left(\frac{9}{5}\right)\)C + 32, then C = ……………….. .
A. 5F – 160
B. \(\frac{1}{9}\) (5F – 32)
C. \(\frac{5}{9}\) F – 32
D. \(\frac{5}{9}\)(F – 32)
Answer:
D. \(\frac{5}{9}\)(F – 32)

Question 7.
For the equation F = \(\left(\frac{9}{5}\right)\)C + 32, F and C are numerically equal when ……………….. .
A. C = 45
B. C = – 40
C. C = 40
D. C = 32
Answer:
B. C = – 40

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 4 Linear Equations in Two Variables Ex 4.4 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.4

Question 1.
Give the geometric representation of y = 3 as an equation
(i) in one variable
Answer:
If the equation y = 3 is treated as an equation in one variable, its graphical representation is a point on the number line as shown below:

(ii) in two variables.
Answer:
If the equation y = 3 is treated as an equation in two variables, it can be written as 0x + y = 3. Here, for any value of x, the value of y remains 3. Hence, we can easily take (0, 3), (2, 3) and (4, 3) as three solutions of the equation 0x + y = 3. Then, we plot these points in the Cartesian plane and draw the line passing through them. This line is the graph of equation y = 3 as an equation in two variables. This graph is perpendicular to the y-axis and parallel to the x-axis.

Question 2.
Give the geometric representations of 2x + 9 = 0 as an equation
(i) In one variable
Answer:
If the equation 2x + 9 = 0, i.e., x = – \(\frac{9}{2}\) is treated as an equation in one variable. its graphical representation is a point on the number line as shown below:

(ii) In two variables.
Answer:
If the equation 2x + 9 = 0 is treated as an equation in two variables, it can be written as 2x + 0y + 9 = 0. Here, for any value of y, the value of x remains – \(\frac{9}{2}\). Hence, we can easily take \(\left(-\frac{9}{2}, 0\right)\), \(\left(-\frac{9}{2}, 2\right)\), and \(\left(-\frac{9}{2}, 4\right)\) as three solutions of the equation 2x + 9 = 0. Then, we plot these points in the Cartesian plane and draw the line passing through them. This line is the graph of the equation 2x + 9 = 0 as an equation in two variables. This graph is perpendicular to the x-axis and parallel to the y-axis.

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 4 Linear Equations in Two Variables Ex 4.3 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.3

Question 1.
Draw the graph of each of the following linear equations in two variables:
(i) x + y = 4
Answer:
To draw the graph of x + y = 4, we need at least two solutions of x + y = 4. And to be on the safer side, we get three solutions of x + y = 4.
For x = 0, we get 0 + y = 4, i.e., y = 4.
For x = 2, we get 2 + y = 4. i.e., y = 2.
For x = 4. we get 4 + y = 4, i.e., y = 0.
We can represent these solutions In the tabular form as below:

Then, we plot these points on the Cartesian plane and draw the line passing through them.
This line is the graph of x + y = 4.

(ii) x – y = 2
Answer:
x – y = 2
To draw the graph of x – y = 2, we
find three solutions of x – y = 2. For convenience, we express the equation in y-form as y = x – 2.
For x = 0, y = – 2.
For x = 2, y = 0.
For x = 4, y = 2.
We represent these solutions in the tabular form as below:

Then, we plot these points on the Cartesian plane and draw the line passing through them. This line is the graph of x – y = 2.

(iii) y = 3x
Answer:
y = 3x
To draw the graph of y = 3x, we find three solutions of y = 3x.
For x = 0, y = 3 × 0 = 0.
For x = 1, y = 3 × 1 = 3.
For x = 2, y = 3 × 2 = 6.
We represent these solutions in the tabular form as below:

Then, we plot these points on the Cartesian plane and draw the line passing through them. This line is the graph of y = 3x.

(iv) 3 = 2x + y
Answer:
To draw the graph of 3 = 2x + y. we find three solutions of 3 = 2x + y by expressing it as y = 3 – 2x.
For x = 0, y = 3 – 2 × 0 = 3.
For x = 1, y = 3 – 2 × 1 = 1.
For x = 2, y = 3 – 2 × 2 = – 1.
We represent these solutions in the tabular form as below:

Then, we plot these points on the Cartesian plane and draw the line passing through them. This line is the graph of 3 = 2x + y.

Question 2.
Give the equations of two lines passing through (2, 14). How many more such lines are there, and why?
Answer:
Equations y = 7x and x + y = 16 are two equations of lines passing through point (2, 14) as the coordinates of the point satisfy both the equations.
There are infinitely many equations which are satisfied by the coordinates of the point. Few examples of such equations are y – x = 12, y = 6x + 2, x – y = – 12, etc. This happens so because infinitely many lines pass through a point given in a plane.

Question 3.
If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.
Answer:
As the point (3, 4) lies on the graph of the equation 3y = ax + 7, its coordinates, i.e., x = 3 and y = 4 must satisfy the equation.
Hence, we get
3(4) = a(3) + 7
∴ 12 = 3a + 7
∴ 12 – 7 = 3a
∴ 5 = 3a
∴ 3a = 5
∴ a = \(\frac{5}{3}\)

Question 4.
The taxi fare in a city is as follows: For the first kilometre, the fare is ₹ 8 and for the subsequent distance it is ₹ 5 per km. Taking the distance covered a x km and total fare as ₹ y, write a linear equation for this information, and draw its graph.
Answer:
Let the total distance covered be x km and the total fare be ₹ y. Now, the fare for the first km is ₹ 8 and for the remaining (x – 1) km, it is ₹ 5 per km. Hence, the total fare will turn out to be ₹ [(8 + 5 (x – 1)]. Hence, we get the equation as
8 + 5(x – 1) = y
∴ 8 + 5x – 5 = y
∴5x – y + 3 = 0
To draw the graph of this equation, we find three solutions of the equation by expressing the equation in the form y = 5x + 3.

Note: Distance travelled cannot be zero or negative. Hence, we choose only positive values of x.
For x = 1, y = 5(1) + 3 = 8.
For x = 2, y = 5(2) + 3 = 13.
For x = 3, y = 5(3) + 3 = 18.
We represent these solutions in the tabular form as below:
Then, we plot these points on the Cartesian plane and draw the line passing through them. This line is the graph of the equation 5x – y + 3 = o derived above.

Question 5.
From the choices given below, choose the equation whose graphs are given in figure (1) and figure (2):
For figure (1)
(i) y = x
(ii) x + y = 0
(iii) y = 2x
(iv) 2 + 3y = 7x

Answer:
For figure (1): The graph of equation (ii) x + y = 0 is given in figure (1) as all the three points represented on the line, i.e., (- 1, 1), (0, 0) and (1, – 1) satisfy equation x + y = 0. For other equations, (1) y = x and (iii) y = 2x are satisfied by the point (0, 0), but not by the other two points. Equation (iv) 2 + 3y = 7x is not satisfied by any point.

For figure (2)
(i) y = x + 2
(ii) y = x – 2
(iii) y = – x + 2
(iv) x + 2y = 6

Answer:
For figure (2): The graph of equation (iii) y = – x + 2 is given in figure (2) as all the three points represented on the line, i.e., (- 1, 3), (0, 2) and (2, 0) satisfy equation y = – x + 2. Equation (i) y = x + 2 is satisfied by only one point (0, 2). Equation (ii) y = x – 2 is satisfied by only one point (2, 0). Equation (iv) x + 2y = 6 is not satisfied by any point.

Question 6.
If the work done by a body on application of a constant force is directly proportional to the distance travelled by the body, express this in the form of an equation in two variables and draw the graph of the same by taking the constant force as 5 units. Also read from the graph the work done when the distance travelled by the body is (i) 2 units (ii) 0 unit.
Answer:
We know well that
Work done = Force × Distance travelled.
Let the work done be y, the distance travelled be x and here the constant force applied is 5 units.
Then, the relation reduces to y = 5x which is a linear equation in two variables.
To draw the graph of y = 5x. we find three solutions of the equation and represent them in the tabular form.
For x = 1, y = 5 × 1 = 5.
For x = 3, y = 5 × 3 = 15.
For x = 4, y = 5 × 4 = 20.

Then, we plot these points on the Cartesian plane and draw the line passing through them. This line is the graph of the equation derived above. The coordinates of any point on the line will satisfy the derived equation.

(i) From the graph, we observe that when the distance travelled (x) is 2 units, the work done (y) is 10 units.
(ii) From the graph, we observe that when the distance travelled (x) is 0 unit, the work done (y) is 0 unit.

Question 7.
Yamini and Fatima, two students of class IX of a school, together contributed ₹ 100 towards the Prime Minister’s Relief Fund to help the earthquake victims. Write a linear equation which satisfies this data. (You may take their contributions as ₹ x and ₹ y). Draw the graph of the same.
Answer:
1et the contribution of Yamini be ₹ x and the contribution of Fatima be ₹ y. Then, their total contribution is ₹ (x + y). Their total contribution is given to be ₹ 100. Hence, we get the linear equation x + y = 100.
Now, to draw the graph, we find three solutions.
For x = 0, y = 100. For x = 50, y = 50, For x = 100, y = 0.
We represent these solution in the tabular form as below:

We plot these three point in the Cartesian plane and draw the line passing through them. This line is the graph of the mathematical representation of the information given in the data.

Question 8.
In countries like USA and Canada, temperature is measured In Fahrenheit, whereas in countries like India, it is measured in Celsius. Here is a linear equation that converts Fahrenheit to Celsius:
F = \(\left(\frac{9}{5}\right)\)C + 32
(i) Draw the graph of the linear equation above using Celsius for x-axis and Fahrenheit for y-axis.
Answer:
F = \(\left(\frac{9}{5}\right)\)C + 32
For C = – 15,
F = \(\frac{9}{5}\)(- 15) + 32 = – 27 + 32 = 5
For C = 10,
F = \(\frac{9}{5}\)(10) + 32 = 18 + 32 = 50
For C = 60,
F = \(\frac{9}{5}\)(60) + 32 = 108 + 32 = 140
Hence, three solutions of F = \(\left(\frac{9}{5}\right)\)c + 32 can be given in the tabular form as below:

To draw the graph of F = \(\left(\frac{9}{5}\right)\)c + 32.
we take Celsius (°C) on the x-axis and Fahrenheit (°F) on the y-axis with scale 1 cm = 10 units on both the axes.
Then, we plot the points (- 15, 5), (10, 50) and (60, 140) and draw the line passing through them which is the graph of the equation F = \(\left(\frac{9}{5}\right)\)C + 32.

(ii) If the temperature is 30°C, what is the temperature in Fahrenheit?
Answer:
If the temperature is 30 °c means the x-coordinate of the point is 30. Now, the point on the graph of F = \(\left(\frac{9}{5}\right)\)C + 32 having x-coordinate 30 has y-coordinate 86.
From the equation for C = 30, we get
F = \(\left(\frac{9}{5}\right)\)3o + 32 = 54 + 32 = 86.
Hence, if the temperature is 30°C, in the Fahrenheit scale it is 86°F.

(iii) If the temperature is 95 °E what is the temperature in Celsius?
Answer:
If the temperature is 95°F means the y-coordinate of the point is 95. Now, the point on the graph of F = \(\left(\frac{9}{5}\right)\)C + 32 having y-coordinate 95 has x-coordinate 35.
From the equation for F = 95, we get
95 = \(\left(\frac{9}{5}\right)\)C + 32
∴ 63 = \(\left(\frac{9}{5}\right)\)C
∴ C = 63 × \(\frac{5}{9}\)
∴ C = 35

(iv) If the temperature is 0°C, what is the temperature in Fahrenheit and if the temperature is 0 °F, what is the temperature in Celsius?
Answer:
As explained in (ii) and (iii) above, if the temperature is 0 °C, in the Fahrenheit scale it is 32°F. And if the temperature is 0 °F, in the Celsius scale it is – 18 °C approximately as observed from the graph. From the equation, for C = 0, we get
F = \(\left(\frac{9}{5}\right)\)0 + 32 = 0 + 32 = 32, and for
F = 0, we get
0 = \(\left(\frac{9}{5}\right)\)C + 32
∴ – 32 = \(\left(\frac{9}{5}\right)\)C
∴ C = – 32 × \(\frac{5}{9}\)
∴ C = – \(\frac{160}{9}\)
∴ C = – 17 \(\frac{7}{9}\)

(v) Is there a temperature which is numerically the same in both Fahrenheit and Celsius? If yes, find it.
Answer:
Yes, there is a temperature which is numerically the same in both Fahrenheit and Celsius.
As we see, the graph of F = \(\left(\frac{9}{5}\right)\)C + 32 passes through the point (- 40, – 40), i.e., – 40°C = – 40°F.
From the equation for F = C, we get
C = \(\left(\frac{9}{5}\right)\)C + 32
∴ – 32 = \(\frac{9}{5}\)C – C
∴ – 32 = \(\frac{4}{5}\)C
∴ C = – 32 × \(\frac{5}{4}\)
∴ C = – 40
Hence, – 40 is the temperature which is numerically the same in both Fahrenheit and Celsius.

Punjab State Board PSEB 9th Class English Book Solutions English Grammar Conjunctions Exercise Questions and Answers, Notes.

PSEB 9th Class English Grammar Conjunctions

Fill in the blanks with appropriate Connectors :

1. Ram would have helped her ……….. he had enough money.
2. Wisdom is better ………….. riches.
3. Sita had been waiting for two hours ……….. the train arrived.
4. Many are called, ………… few are chosen.
5. I ran fast, ………… I missed the train.
6. I would rather suffer …………. apologize.
7. Wait ……………… I come back
8. Let us go to bed ………….. it is twelve.
9. I would rather die ……….. tell a lie.
10. I like her …………… she is beautiful.
Answer:
1. if 2. than 3. when 4. but 5. yet 6. than 7. until 8. as 9. than 10. because / for.

Fill in the blanks with appropriate Connectors :

1. We eat ………… we may live.
2. Men will reap ………….. they sow.
3. He ran …………. he had been shot.
4. He is …………. a rogue ……….. a fool.
5. ………….. you sow, …………. shall you reap.
Answer:
1. so that 2. what 3. though 4. either, or 5. As, so.

Rewrite each of these pairs of simple sentences as one sentence, using the Connectors given in the brackets :

1. You must start early. You will catch the train.
2. They batted badly. They won the match.
3. Their house is small. It is comfortable.
4. Sign these papers. You’ll get the loan.
5. Tell me the truth. I shall punish you.
Answer:
1. If you start early, you will catch the train.
2. Although they batted badly, they won the match.
3. Their house is small, still it is comfortable.
4. If you sign these papers, you’ll get the loan.
5 Unless you tell me the truth, I shall punish you.

Fill in the blanks with suitable Connectors given in the brackets :

1. I would have gone to the party ……….. I had been invited. (so that, although, if)
2. She went to the doctor ……. she might be cured. (therefore, because, so that)
3. I shall wait for you ……….. you return. (unless, until)
4. She is a fine player ………… she is so small. (because, although, unless)
5. The teacher punished him ………. he had broken the windowpane. (as, though)
Answer:
1. if 2. so that 3. until 4. although 5. as.

Fill in the blanks with suitable Connectors :

1. She is beautiful ………. not vain.
2. Though he is poor, ………….. he is honest.
3. He is neither an idler ……….. a gambler.
4. He had scarcely reached the school ………… it began to rain.
5. A month has passed ……….. he came here.
6. Give me water to drink ………… I shall die of thirst.
7. She is a fine player …………. she is so small.
8. I was so tired …………. I at once fell asleep.
9. Make hay ………. the sun shines.
10. He is neither hard-working ………… intelligent.
Answer:
1. but 2. yet 3. nor 4. when 5. since 6. or 7. though 8. that 9. while 10. nor.

Pick out the Subordinate Conjunctions from the following sentences :

1. Let us go to bed as it is late now.
2. He studied hard in order that he might pass.
3. He carried a stick in his hand lest he should stumble.
4. He threatened to dismiss him unless he confessed his guilt.
5. He remained silent when he heard that.
6. We never understood why he behaved in that silly way.
7. We shall leave the class as soon as you start speaking.
8. He wished to know whether I was ready to accompany him.
9. If he is here, I shall call on him.
10. He was alarmed lest he should be taken in.
Answer:
1. as 2. in order that 3. lest 4. unless 5. when 6. why. 7. as soon as 8. whether 9. If 10. lest.

Combine the following sets of sentences by using suitable Connectors :

1. It may rain. Take an umbrella.
2. Do not go out in this rain. You may catch a cold.
3. Work hard. Otherwise, you will fail.
4. It was raining hard. I stayed at home.
5. I eat. I am hungry.
6. You say so. I must believe it.
7. He is very poor. He is contented.
8. I am going to Delhi. I am expecting a merry time.
9. I did not listen to him. I failed badly.
10. You will succeed. You should work hard.
Answer:
1. Take an umbrella, as it may rain.
2. Do not go out in this rain or you may catch cold.
3. Work hard or you will fail.
4. As it was raining hard, I stayed at home.
5. I eat when I am hungry.
6. I must believe it because you say so.
7. Though he is very poor, he is contented.
8. I am going to Delhi where I expect a merry time.
9. As I did not listen to him, I failed badly.
10. If you work hard, you will succeed.

Choose the correct Conjunction given in brackets :

1. He tried hard (and, but) could not succeed.
2. He will not come (if, unless) you do not invite him.
3. He had died (before, after) the doctor came.
4. You will be late (if, unless) you hurry up.
5. You must see me (before, when) you leave for Delhi.
6. He worked hard (and, yet) he failed.
7. He is as clever (as, so) his father.
8. (Though, Even if he is my friend, I will not help him in this matter.
Answer:
1. but 2. if 3. before 4. unless 5. before 6. yet 7. as 8. Though.

Fill in the blanks with suitable Conjunctions :

1. I leave my bed ………… the sun rises.
2. ……… you say so, I shall proceed in the matter.
3. ………. you walk fast, you will catch the train.
4. Work hard ……….. you may pass.
5. Walk carefully …….. you should slip.
6. She is not so wise ………. you think.
7. ……….. fast you may run, you cannot beat me in the race.
8. Though she worked hard, ……….. she could not top the list.
9. As you sow, ……… shall you reap.
10. He speaks ………… he were my officer.
Answer:
1. before 2. As 3. If 4. so that 5. lest 6. as 7. However 8. yet 9. so 10. as if.

Fill in the blanks, selecting suitable words from those given in brackets :

1. The book …………. you sent to me, is really interesting. (that, who)
2. The Chief Minister ……….. is very popular with the masses, commands a great respect. (that, who)
3. This is the lady ………. purse had been stolen. (whom, whose)
4. This is the house …….. we want to purchase. (that, who)
5. The pen ………. I like the most has been sold out. (which, who)
6. Varanasi ………. is a city of temples is a place of pilgrimage for the Hindus. (whose, which)
7. The man …………….. she disliked came to her help in her hour of misery. (who, whom)
8. The bird ……… sweet voice you heard every morning is no more.. (whose, whom)
9. Can you identify the person …….. abused you ? (whom, who)
10. The prayer song ……….. we sing every day has been composed by my father. (that, who)
Answer:
1. that 2. who 3. whose 4. that 5. which 6. which 7. whom 8. whose 9. who 10. that.

Fill in the blanks with suitable Conjunctions :

1. It is a week …….. the holidays began.
2. The crops will die ………… the rains fall.
3. Work hard ……….. you should fail.
4. You will fail ……. you do not put in proper efforts.
5. I shall be surprised ……….. you fail.
6. He took medicine ………… he might get well.
7. You may not go out ………. your work is done.
8. You can stay here ……… you wish.
9. Wait here ………. I return.
10. He went to the doctor ………. he was ill.
Answer:
1. since 2. before 3. lest 4. if 5. if 6. so that 7. until 8. as long as 9. until 10. because.

Fill in the blanks with suitable Conjunctions :

1. Leave the room ……. you will be caught.
2. Wise men love truth ……… fools shun it.
3. She was found guilty and ……. she was punished.
4. He received a prize ……. his brother was punished.
5. Don’t make a noise ……… I shall punish you.
6. He is a liar ….. a cheat.
7. Trust in God ……. do the right.
8. ……… he is wrong ……. I am wrong.
9. Ashok had no hope of success, ………. he tried.
10. John was naughty; ……. I punished him.
Answer:
1. otherwise’ 2. while 3. therefore 4. while 5. or 6. and / as well as 7. and 8. Either, or 9. yet 10. so.

Fill in the blanks selecting the proper Subordinative Conjunctions from those given in brackets :

1. Tell me ……… he has gone. (as, nowhere, because, where)
2. ……… he satisfies me, he cannot get promotion. (unless, if, because)
3. The thief ran …….. he saw the owner of the house. (as soon as, as long as, how)
4. Make hay ……. the sun shines. (while, before)
5. He was late …….. it was raining cats and dogs. (as, how, when)
6. Let us take lunch ……… it is already twelve. (as, so, while)
7. He works hard ……. he may win some position. (in order that, lest, as)
8. He is studying very hard ……… he may top the list this time. .(so that, lest, as)
9. We eat …….. we may live. (so that, because, as if )
10. He walked with care ………… he should stumble. (so that, lest, as)
Answer:
1. where 2. Unless 3. as soon as 4. while 5. as 6. as 7. in order that 8. so that 9. so that 10. lest.

Fill in the blanks with Subordinative Conjunctions :

1. He will join the meeting ……….. he is allowed to do so.
2. ……….. it was quite cold, yet she did not light a fire.
3. We eat …….. we may live.
4. The sun will shine ……. the world lasts.
5. He continued gambling ……. he lost all his money.
6. She is extremely happy …….. she has been engaged to a boy of her choice.
7. He will not pass ………… he works hard.
8. The thief was caught red-handed ……….. he was stealing a jewellery box.
Answer:
1. if 2. Though 3. so that 4. as long as 5. until 6. because 7. unless 8. when.

Join the following pairs of sentences into single sentences, using the Subordinative Conjunctions given in the brackets :

1. You must leave the room. (whether) :
You may wish it or not.

2. He is honest. (though)
He is a poor man.

3. You wish it. (since)
I shall help him.

4. He talked so much. (that)
He made himself hoarse.

5. He will succeed. (because)
He is working hard.

6. We called at his house. (as)
The clock struck four.

7. There is a will. (where)
There is a way.

8. He returned home. (after)
The rain had stopped.

9. The patient had died. (before)
The doctor came.

10. I called on him. (when)
He was at home.
Answer:
1. You must leave the room whether you wish it or not.
2. He is honest. though he is a poor man.
3. Since you wish it, I shall help him.
4. He talked so much that he made himself hoarse.
5. He will succeed because he is working hard.
6. As we called at his house, the clock struck four.
7. Where there is a will, there is a way.
8. He returned home after the rain had stopped.
9. The patient had died before the doctor came.
10. When I called on him, he was at home.

Fill in the blanks with suitable Conjunctions :

1. Hardly had he gone there ……….. it started raining.
2. He is both a painter ……….. a singer.
3. Life is such a puzzle ………. cannot be solved.
4. I am so tired ….. I cannot walk.
5. He is as tired …….. you are.
6. Not only is he rich but generous ………..
7. He is not only anxious to acquire knowledge …….. eager to display it.
8. His action was either just ………. unjust.
9. Hardly had I reached the station ……… the train started.
10. Scarcely had I arrived there …….. all the visitors dispersed.
Answer:
1. when 2. and 3. as 4. that 5. as 6. also 7. but also 8. or 9. when 10. when.

Fill in the blanks with suitable Conjunctions :

1. Wait here ……… I come back.
2. I like him ……. he is honest.
3. We must eat ……. we shall die.
4. You will never pass …….. you do not work hard.
5. He failed ……….. he did not work hard.
6. He is very wise ……… he is young.
7. Either take it ……….. leave it.
8. Work hard ……….. you will fail.
9. I would rather die …….. yield.
10. I know ……… he will come.
Answer:
1. until 2. because 3. or 4. if 5. because 6. though 7. or 8. or 9. than 10. that.

Fill in the blanks with suitable Conjunctions :

1. Pinky was happy …….. she passed the test.
2. You can do much better …….. you try harder.
3. Always brush your teeth ……….. a meal.
4. I will not let you go …… you confess.
5. The children waited ……. their mother came.
6. I have been living here ……… 1990.
7. Make hay. …….. the sun shines.
8. He failed ………. he tried again.
9. Walk quickly ……….. you will miss the train.
10. Cats can climb trees …….. dogs cannot.
Answer:
1. when 2. if 3. after 4. until 5. until 6. since 7. while 8. yet 9. or / otherwise 10. while

Conjunction-

दो शब्दों, वाक्यांशों (Phrases) अथवा वाक्यों को परस्पर जोड़ने वाले शब्द को conjection कहा जाता है जैसे
1. The teacher taught Mohan and Abdul.
2. I want some pen or pencil.
3. He will take tea, but I will take milk.
4. I will try to come as soon as I can.

Conjunctions of years on lait :
1. Co-ordinate Conjunctions.
2. Correlative Conjunctions.
3. Subordinate Conjunctions.

Co-ordinate Conjunctions-समान स्थिति वाले तथा स्वतन्त्र शब्दों । वाक्यांशों । वाक्यों को मिलाने वाले शब्दों को Co-ordinate Conjunctions कहा जाता है। जैसे

1. Noun को Noun से 2. Verb को Verb से । 3. Adjective को Adjective से 4. Adverb को Adverb से 5. Phrase को Phrase से 6. Sentence को Sentence से

Mohan as well as Sohan came to my house. We worked and played together. He is sad but hopeful. He spoke loudly and clearly. He met me in the bazaar and again at the railway station. He worked hard, yet he failed.

साधारण प्रयोग में आने वाले कुछ Co-ordinate Conjunctions निम्नलिखित हैं

Correlative Conjunctions – जोड़ों के रूप में प्रयुक्त होने वाले Conjunctions को Correlative Conjunctions कहा जाता है; जैसे

1. He worked so hard that he fell ill.
2. He could neither sit nor stand.
3. He is both kind and honest.
4. Either Mohan or Sohan has done it.
5. She is not only proud but also mean

साधारण प्रयोग में आने वाले कुछ Co-ordinate Conjunctions निम्नलिखित हैं

Subordinate Conjunctions-जो शब्द एक या अधिक आश्रित (Subordinate) वाक्यों को प्रधान (Principal) वाक्य से जोड़े, उन्हें Subordinate Conjunctions कहा जाता है। जैसे

Principal Clause	Subordinate Clause
1. I don’t think 2. I know 3. I was away 4. Tell me 5. He is the boy	if he would pass. why he has come here. when Radha came here. where he lives who beat my brother

साधारण प्रयोग में आने वाली मुख्य Subordinate Conjunctions निम्नलिखित हैं

The Use Of Some Conjunctions

(1) No sooner, hardly, scarcely.
No sooner के बाद सदा than का प्रयोग किया जाता है। Scarcely और Hardly के बाद when का प्रयोग किया जा सकता है।
1. No sooner did we reach the station than the train started.
2. She had hardly / scarcely heard the news when she began to weep.

(2) Unless, if.
Unless के साथ not का प्रयोग नहीं किया जा सकता क्योंकि unless = if not.
If के साथ (यदि आवश्यकता हो तो) not का प्रयोग किया जा सकता है।
1. Unless you work very hard, you can’t pass.
2. If you do not work very hard, you can’t pass.

(3) Until (till), as long as (so long as), while.
Until (till) = उस समय तक जबकि = up to the time when
(ये शब्द point of time की ओर संकेत करते हैं।)
As long as = जितने समय तक
So long as, while = during the time that
(ये शब्द period of time की ओर संकेत करते हैं।)
यदि till | until का सम्बन्ध पहले वाक्य से हो तो प्रायः until का प्रयोग किया जाता है।
यदि till / until का सम्बन्ध पिछले वाक्य से हो तो प्रायः till का प्रयोग किया जाता है।

किन्तु till | until के प्रयोग में कोई विशेष अन्तर नहीं समझा जाता है।
1. Go straight on until you come to the post office and then turn left.
2. Until you told me, I had heard nothing of it.
3. She won’t go away till you promise to help her.
4. Let us wait till the rain stops.
5. While there is life, there is hope.
As long as there is life, there is hope.
So long as there is life, there is hope.

(4) Because, so that (in order that).
Because का प्रयोग उस समय किया जाता है जब किसी बात का कारण (reason) बताना हो।
In order that अथवा so that का प्रयोग उस समय किया जाता है जब किसी उद्देश्य (Purpose) का वर्णन करना हो।
1. He failed because he did not work hard.
2. He worked hard so that he might win a scholarship.

(5) Since, before.
जब Since का प्रयोग एक Conjunction के रूप में किया जाए तो
(i) इससे पूर्व आने वाले वाक्य में कभी भी Past Indefinite Tense का प्रयोग नहीं किया जा सकता
(ii) इसके बाद आने वाले वाक्य में सदा ही Past Indefinite Tense का प्रयोग किया जाता है।

1. Two months have passed since he came here.
2. It is two weeks since my examinations were over.
Before, if, until, unless, while, when, आदि समय-वाचक योजकों (Temporal Conjunctions) के बाद कभी भी Future Tense का प्रयोग नहीं किया जाता है यद्यपि मुख्य वाक्य (Principal Clause) Future Tense में ही हो।
1. I will help him if he comes to me.
2. The crops will die before the rains fall.
3. I shall not let you go until you pay back my money.
4. I shall give him your message when he comes here.

(6) No other तथा rather के साथ than का प्रयोग किया जाता है, न कि but का।
1. No other than Mohan did this mischief.
2. I would rather die than beg.

(7) As to = about, concerning = के सम्बन्ध में।
इसका प्रयोग वाक्य के आरम्भ में ही किया जाना चाहिए और वह भी केवल तब जब किसी बात पर बल डालना हो।
As to your brother, I will deal with him later.
निम्नलिखित वाक्य में इसका प्रयोग ग़लत है
I don’t know as to why he failed.
हमें कहना चाहिए
I don’t know why he failed.

(8) Neither …………….. nor तथा Either …………… or.
1. This book is neither useful nor cheap.
2. Either you or your friend has stolen my book.
3. You can either play or work.
4. Mona can neither see nor hear.

(9) Not only ……………… but also.
1. She is not only beautiful but intelligent also.
2. The cruel master not only lashed his servant but also got him arrested.

(10) Though ………….. yet.
1. Though he worked hard, yet he failed.
2. Though he is rich, yet he is not mean.

(11) Both …. …………. and
1. Ramesh is both handsome and sensible.
2. Both Hema and her sister were absent.

(12) So …………………… that.
1. He worked so hard that he won a scholarship.
2. He is so mean that you cannot expect any help from him.

(13) Such …………… as.
1. Raman is such a fool as no one likes.
2. I love such students as are hard-working.

(14) Whether ………………… or.
1. You must leave the room whether you wish it or not.
2. I am going ahead with my plans whether I succeed or fail.

(15) The same ………….. as / that.
1. It is the same kind of pen as mine.
2. This is the same man that came to my help.

(16) निम्नलिखित बातों को ध्यान में रखिए

1. That का प्रयोग Direct Narration में नहीं किया जा सकता है और न ही इस का प्रयोग
Indirect Narration में किसी प्रश्न-वाचक वाक्य से पूर्व किया जा सकता है।

2. Lest के साथ auxiliary के रूप में सदा should का प्रयोग किया जाता है।
(Walk fast lest you should miss the train.)

3. Like (= जैसा) का प्रयोग कभी भी as (= जैसा) के स्थान पर नहीं किया जा सकता है, क्योंकि
इस अर्थ में like एक Preposition है जबकि as एक Conjunction है।
1. He is like your brother.
2. He did as your brother did.

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 4 Linear Equations in Two Variables Ex 4.2 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.2

Question 1.
Which one of the following options is true, and why?
y = 3x + 5 has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions.
Answer:
Option (iii) is true. Since y = 3x + 5 is a linear equation in two variables, it has infinitely many solutions. e.g., (1, 8), (2, 11), (3, 14), (4, 17), (0, 5), (- 1, 2) are all solutions of the given equation y = 3x + 5.

Question 2.
Write four solutions for each of the following equations:
(i) 2x + y = 7
Answer:
2x + y = 7
∴ y = 7 – 2x
Taking x = 0, 1, 2, 3, we get the values of y as 7, 5, 3 and 1 respectively. Thus, (0, 7), (1, 5), (2, 3) and (3, 1) are four solutions of the given equation 2x + y = 7. We can give other answers as well because the given linear equation in two variables has infinitely many solutions.

(ii) πx + y = 9
Answer:
πx + y = 9
∴ y = 9 – πx
For x = 0, y = 9.
For x = 1, y = 9 – π.
For x = – 1, y = 9 + π.
For x = , y = 8.
Thus, (0, 9), (1, 9 – π), (- 1, 9 + π) and (\(\frac{1}{\pi}\), 8) are four of the infinitely many solutions of the given equation πx + y = 9.

(iii) x = 4y
Answer:
x = 4y
For y = 0, x = 0.
For y = 1, x = 4.
For y = – 1, x = – 4.
For y = 2, x = 8.
Thus, (0, 0), (4, 1), (- 4, – 1) and (8, 2) are four of the infinitely many solutions of the given equation x = 4y.

Question 3.
Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(i) (0, 2)
Answer:
Substituting x = 0 and y = 2, we get x – 2y = 0 – 2(2) = – 4, which is not equal to 4. Hence, (0, 2) is not a solution of x – 2y = 4.

(ii) (2, 0)
Answer:
Substituting x = 2 and y = 0, we get x – 2y = 2 – 2 (0) = 2, which is not equal to 4. Hence, (2, 0) is not a solution of x – 2y = 4.

(iii) (4, 0)
Answer:
Substituting x = 4 and y = 0, we get x – 2y = 4 – 2 (0) = 4. Hence, (4, 0) is a solution of x – 2y = 4.

(iv) (√2, 4√2)
Answer:
Substituting x = √2 and y = 4√2, we get x – 2y = √2 – 2(4√2) = – 7√2, which is not equal to 4. Hence, (√2, 4√2) is not a solution of x – 2y = 4.

(v) (1, 1)
Answer:
Substituting x = 1 and y = 1, we get x – 2y = 1 -2(1) = – 1, whIch is not equal to 4. Hence, (1, 1) is not a solution of x – 2y = 4.

Question 4.
Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.
Answer:
x = 2, y = 1 is a solution of equation 2x + 3y = k. Hence, x = 2 and y = 1 satisfy the equation.
∴ 2(2) + 3(1) = k
∴ 4 + 3 = k
∴ 7 = k
∴ k = 7

Punjab State Board PSEB 9th Class English Book Solutions English Grammar Prepositions Exercise Questions and Answers, Notes.

PSEB 9th Class English Grammar Prepositions

Put suitable Prepositions in the blank spaces :

1. Mothers have affection ……………… their children.
2. We are thankful ……………… God …………….. His blessings.
3. I feel no appetite ……………. food.
4. We are tired ……………… you.
5. He has an easy access …………… this officer.
6. He was true ……………… his principles.
7. Pay great attention ……………. English.
8. Is he unfit …………….. practical work ?
9. You are vexed ……………… my behaviour.
10. I have an advantage ……………… my enemy.
Answer:
1. for 2. to, for 3. for 4. of 5. to 6. to 7. to 8. for 9. at 10. over.

Put suitable Prepositions in the blank spaces :

1. He has no confidence ……………. me.
2. Rajinder is related ……………… me.
3. We have nothing but contempt ……………. him.
4. Be respectful ……………… your parents.
5. You have no authority …………….. me in this matter.
6. He has an ambition …………. high business.
7. Sita is very sensitive ………….. criticism.
8. I have no objection …………… his joining this college.
9. We are short …………… money at present.
10. I am ready ……………… tea.
Answer:
1. in 2. to 3. for 4. to 5. over 6. for 7. to 8. to 9. of 10. for.

Put suitable Prepositions in the blank spaces :

1. He is a disgrace …………… his family.
2. Agra is famous …………… its historical buildings.
3. Pt. Nehru was popular ……………. the people.
4. I have no hatred …………… him.
5. He stands in need ……………… money.
6. His face is familiar …………… me.
7. We are familiar …………… the present state of trade.
8. I am grateful …………… you …………… the timely help.
9. Are they not partial ……………. him ?
10. She is quick ……………… English.
Answer:
1. to 2. for 3. with 4. for 5. of 6. to 7. with 8. to, for 9. to 10. at.

Correct the following sentences :

1. He is on bed still.
2. We pray God daily.
3. He is accused for theft.
4. He writes from a pencil.
5. We travel in train.
6. They travel by horseback.
7. He will join school on tomorrow.
8. I prefer tea for coffee.
9. He is not ashamed for this.
10. I took pity at the beggar.
Answer:
1. He is in bed still.
2. We pray to God daily.
3. He is accused of theft.
4. He writes with a pencil.
5. We travel by train.
6. They travel on horseback.
7. He will join school by tomorrow.
8. I prefer tea to coffee.
9. He is not ashamed of this.
10. I took pity on the beggar.

Correct the following sentences :

1. It has been drizzling from Monday.
2. He delivered a speech into the college hall.
3. Sweets were distributed between the boys of the class.
4. Translate this passage in English.
5. His services have been dispensed.
6. Tibet is into the North of India.
7. His sister was married with a doctor.
8. The lion was shot with the hunter by a gun.
9. He warned me on the danger.
10. Have you disposed your goods ?
Answer:
1. It has been drizzling since Monday.
2. He delivered a speech in the college hall.
3. Sweets were distributed among the boys of the class.
4. Translate this passage into English.
5. His services have been dispensed with.
6. Tibet is to the North of India.
7. His sister was married to a doctor.
8. The lion was shot by the hunter with a gun.
9. He warned me of the danger.
10. Have you disposed of your goods ?

Fill in the blanks with the suitable Prepositional Phrases from the given list :

(in favour of, for want of, on the point of, for the sake of, after all, in spite of, at home in, in search of, in the light of, find fault with, instead of, on behalf of, at the mercy of, in front of, on account of)

1. My house is situated ……………. his shop.
2. I could not attend the office …………… an urgent piece of work at home.
3. We are going to cast our vote ……………… the best candidate.
4. We gave him a dinner …….. …… strong opposition from a few friends.
5. I want a pen ……………… a pencil.
6. The lawyer spoke ……………. his client.
7. The project failed ……………. funds.
8. The old lady is ……………. death.
9. Lala Lajpat Rai died …………… his country.
10. Let us forgive him; ………….. he is merely a child.
11. He is ……………… Mathematics.
12. After the death of his father, he was ……………. his stepmother only.
13. The crow flew hither and thither …………….. some pebbles.
14. It is easy to ……………… others.
15. …………….. our previous experience with this man, we are very careful in dealing with him now.
Answer:
1. in front of
2. on account of
3. in favour of
4. in spite of
5. instead of
6. on behalf of
7. for want of
8. on the point of
9. for the sake of
10. after all
11. at home in
12. at the mercy of
13. in search of
14. find fault with
15. In the light of.

Fill in the blanks with suitable Prepositions :

1. He came ……………. day break.
2. He was born …………….. 1990.
3. He will start ………….. five o’clock in the morning.
4. I met him at Moga ……………… Punjab.
5. We sat ……………… the ground.
6. The cat sprang …………. the table.
7. He is ……………. his room.
8. He jumped ……………… the river.
Answer:
1. at
2. in
3. at
4. in
5. on
6. upon
7. in
8. into.

Fill in the blanks with suitable Prepositions :

1. I have not heard ……………. him since he left, but I’ve heard …………….. his accident from a friend. He has been shifted ………. Mumbai. I learn he is ……………… plaster and is unable to move ……………… of bed. He has also been injured ……….. the head. I must visit him …………….. the B. Candy hospital when I go ………….. Mumbai next week.
Answer:
about, of, to, in, out, on, in, to.

2. India is now one …………….. the major nuclear powers of the world. The first Indian nuclear device was exploded ……………. Pokhran, a place 106 km. ……………… the town of Jaisalmer …………….. May 18, 1974. It was an underground explosion, many kilometres below the surface ……………… the earth. There was no smoke, no dreadful balls ……………. fire; no animal or human life was destroyed. ……………… the explosion,
a crater of about 150 metres ……………… diameter was formed.
Answer:
of, at, from, on, of, of, During, in.

Fill in the blanks with suitable Prepositions :

1. He will return …………. a week.
2. He lives …………….. Hyderabad.
3. He fell ……………… the river.
4. The tree was cut …………….. this man ……………… an axe.
5. …………….. this month, many famous men died.
6. He begins school …………….. today.
7. He has been sleeping …………….. morning.
8. She came …………….. a good family.
Answer:
1. in 2. in 3. into 4. by, with 5. During 6. from 7. since 8. from.

Fill in the blanks with suitable Prepositions :

1. He has been ill …………… Friday last.
2. I shall be there …………….. 6 o’clock.
3. His answer is …………… the point.
4. ……………. being fined, he was imprisoned.
5. I prefer walking …………… cycling.
6. She was fond …………… reading novels.
7. What is the time ……………. your watch ?
8. I have no use ………………
Answer:
1. since 2. at 3. to 4. Instead of 5. to 6. of 7. by 8. for.

Fill in the blanks with suitable Prepositions :

1. He is true ……………. his word.
2. I differ ……………. you ……………. this point.
3. I am sick ……………. idleness.
4. The train is …………….. time.
5. Do not translate word ………….. word.
6. They are very proud …………….. their success.
7. I took him …………… his word.
8. Divide the apple …………….. two persons.
9. He congratulated me …………… my success.
10. He deals ……………… cloth.
Answer:
1. to 2. with, on 3. of 4. in 5. for 6. of 7. at 8. between 9. on 10. in.

Fill in the blanks with suitable Prepositions :

1. We are in need ………………… money.
2. The train is ………………… time.
3. I am sick ……………….. this job.
4. Do not be cruel ………………… animals.
5. He has applied ……………. leave.
6. He is quick …………….. his action.
7. Trust ……………… God.
8. He is kind ……………. me.
9. He is no match ………………. you.
10. Cows feed …………………. grass.
Answer:
1. of 2. in 3. of 4. to 5. for 6. in 7. in 8. to 9. for 10. on.

Fill in the blanks with suitable Prepositions :

1. This copy is very different …………….. that.
2. Some lady is knocking …………….. the door.
3. Ritu is not suitable ……………. this post.
4. Helen is not ……………. home just now.
5. Ram comes ……………… a noble family.
6. Open your book …………….. page twelve.
7. Ranjit was seated …………….. the two girls.
8. He takes …………….. his mother.
Answer:
1. from 2. at 3. for 4. at 5. from 6. at 7. between 8. after.

Fill in the blanks with suitable Prepositions :

Last week when I went home, I left my watch …………. the drawer ……………. my brother’s table and forgot all …………….. it. It was only ………….. reaching the hostel that I realised my mistake. Now I am requesting a friend ………………. mine, who is going …….. my town, to call ……………… my brother and ask him to deliver the watch ………
Answer:
in, of, about, after, of, to, on, to.

Fill in the blanks with suitable Prepositions :

1. She supplied the poor ……………… food.
2. He lives …………… milk only.
3. He was killed …………….. a highwayman a dagger.
4. The Flying Mail departs …………….. 12.20 p.m. for Delhi.
5. I have been here ……………. a long time.
6. She was fond ……………… reading books.
7. She sat ……………… me.
8. We met her …………….. the station.
Answer:
1. with 2. on 3. by, with 4. at 5. for 6. of 7. beside 8. at.

Fill in the blanks with suitable Prepositions :

1. He walked ……………… the hall.
2. I have been suffering from fever ………….. Monday last.
3. He cut his finger ……………. a knife.
4. A quarrel arose ………….. the two sisters.
5. I shall not be there ……………. an hour.
6. He stood ……………. the crowd of boys.
7. She will come …………….. a week.
8. She died ……………. grief …………….. her lost son.
Answer:
1. into 2. since 3. with 4. between 5. before 6. among 7. after 8. in, of.

Fill in the blanks with suitable Prepositions :

1. You must take care ………….. your health.
2. He died ……………… fever.
3. He is ill ……………… malaria.
4. The basket is full …………….. flowers.
5. He invited me ……………… dinner.
6. She prays ………….. God every day.
7. He is tired …………….. this life.
8. Have pity ……………. us.
Answer:
1. of 2. of 3. with 4. of 5. to 6. to 7. of 8. on.

Fill in the blanks with suitable Prepositions :

1. He did not reply ………….. my letter.
2. She lives close …………… my house.
3. He fought ……………… his enemies.
4. He complained …………….. me.
5. He borrowed money ……………… me.
6. My marriage comes …………. next Sunday.
7. Ram is married ………….. Sita.
8. Basu depends ……………. your help.
9. Who rules …………… England ?
10. We laughed ……………… her dress.
Answer:
1. to 2. to 3. with 4. against 5. from 6. off 7. to 8. on 9. over 10. at.

Fill in the blanks with suitable Prepositions :

1. Turn left ……………… the traffic lights.
2. Keep ……………… the left.
3. Turn right ……………… the mall.
4. He stayed here ……………. a while.
5. I have known him …………… a long time.
6. He died ……………. the night.
7. We will wait here ……………… he comes.
8. We arrived ……………… the town yesterday.
Answer:
1. at 2. to 3. at 4. for 5. for 6. in 7. until 8. in.

Fill in the blanks with suitable Prepositions :

1. The boy climbed ……………… the tree.
2. Have you seen an aeroplane go ……………… ?
3. He lives close
4. I hope to see you ……………… Monday.
5. When are you going to set …………….. on your journey ?
6. The 9.15 train started …………….. time.
7. He will probably arrive …………….. 6.00 p.m.
8. I hired a taxi ……………. my holidays.
9. He died ……………. cholera.
10. The mother looks …………… the child.
Answer:
1. up 2. up 3. by 4. on 5. out 6. in 7. at 8. for 9. of 10. after.

ऐसे शब्द को Preposition कहा जाता है जो स्थान (place), दिशा (direction), साधन (source), विधि (method), आदि का बोध कराने के लिए किसी Noun अथवा Pronoun से पहले लगाया गया हो; जैसे
In the room; towards the city; through the forest; by all means; into the well; beside me; between us; आदि।

The Use Of Some Prepositions

(1) At का प्रयोग छोटे नगरों तथा गांवों के नामों के साथ किया जाता है। .
In का प्रयोग बड़े नगरों, प्रान्तों और देशों के नामों के साथ किया जाता है।
1. Mohan lives at Kathua.
2. She was born at Batote.
3. The last National Games were held in Dehli.
4. There are many film studios in Mumbai.

(2) On का प्रयोग तिथियों तथा दिनों के नामों के साथ किया जाता है।
In का प्रयोग महीनों तथा वर्षों के लिए किया जाता है।
At का प्रयोग Point of Time के लिए किया जाता है।

1. I shall go to Delhi on Sunday.
2. Our examination begins on 24th July.
3. Rains started in July.
4. His grandfather died in 2013.
5. We had tea at 5 o’clock.
6. He came at the right time.

(3) In और At के निम्नलिखित समय-सम्बन्धी प्रयोग याद रखिए

In the morning    At noon
In the evening     At night
In the afternoon  At dawn

(4) Between का प्रयोग दो व्यक्तियों । स्थानों । वस्तुओं, आदि के लिए किया जाता है।
Among का प्रयोग दो से अधिक व्यक्तियों । स्थानों । वस्तुओं, आदि के लिए किया जाता है।

1. The two brothers quarrelled between themselves.
2. The three brothers quarrelled among themselves.

(5) In स्थिरता (rest) को प्रकट करता है।
Into अन्दर की ओर गति (motion) को प्रकट करता है।
1. He was sitting in the room.
2. The fox fell into the well.

(6) On स्थिरता (rest) को प्रकट करता है।
Upon ऊपर की ओर गति (motion) को प्रकट करता है।
1. The book is on the table.
2. The cat jumped upon the table.

(7) With उस यन्त्र (instrument) की ओर संकेत करता है जिसका प्रयोग कोई काम करने के लिए किया
गया हो। By काम करने वाले (doer) की ओर संकेत करता है।
1. He beat his servant with a stick.
2. The book was written by me.

(8) Beside = निकट, असंगत
Besides = के अतिरिक्त
1. She came and sat beside me.
2. Your answer is beside the mark.
3. I have three other pens besides this.

(9) Since तथा For का प्रयोग Perfect Tense के बाद किया जाता है।
From का प्रयोग किसी भी Tense के बाद किया जा सकता है।
Since और From का प्रयोग point of time के लिए किया जाता है।
For का प्रयोग period of time के लिए किया जाता है।
Since का प्रयोग केवल भूतकाल के सम्बन्ध में ही किया जा सकता है।
From और For का प्रयोग किसी भी काल के लिए किया जा सकता है।
1. He has been ill since Monday last.
2. This timetable has been in force since August.
3. He studied English from the age of ten.
4. This timetable will come in force from Monday.
5. I have been ill for five days.

(10) During का प्रयोग तब किया जाता है जब कोई क्रिया किसी अवधि के दौरान हुई हो।
1. The phone rang during the meal.
2. Her husband was taken to the hospital during the night.

(11) To तथा Until (Till) का प्रयोग किसी अवधि के अन्त को सूचित करने के लिए किया जाता है।
1. She is busy from six to eight.
2. Let’s wait until the rain stops.
3. The shop remains open till 10 p.m.

(12) In का प्रयोग भविष्य के अर्थ में किसी अवधि के अन्त को सूचित करने के लिए किया जाता है।
Within का प्रयोग किसी अवधि की समाप्ति से थोड़ा समय पूर्व के समय को सूचित करने के लिए किया जाता है।
After का प्रयोग भूतकाल के अर्थ में किसी अवधि के अन्त को सूचित करता है।
1. I shall return in a week. (at the end of a week)
2. He will return within a week. (before the end of a week)
3. She returned from Mumbai after a week.

(13) After एक preposition है तथा इसके बाद किसी noun अथवा noun phrase का होना ज़रूरी होता
Afterwards एक adverb है जिसका प्रयोग तब किया जाता है जब वहां कोई noun अथवा noun phrase
1. We’ll leave after lunch.
2. After winning the prize, she became famous overnight.
3. Let’s go to the theatre first and eat afterward.
4. Afterwards, she was sorry for what she had said.

Words Followed By Appropriate Prepositions

1. Abide by – I shall abide by my prornise.
2. Absorb in – I was absorbed in my work.
3. Accede to all for – He acceded to my request.
4. Accuse of – He was accused of murder.
5. Acquit of – He was acquitted of all the charges.
6. Act upon – He acted upon my advice.
7. Admit to – He was admitted to the 9th class.
8. Afraid of – I am not afraid of death.
9. Agree on – We all agree on this point.
10. Agree to – Do you agree to this proposal ?
11. Agree with – I agree with you.
12. Angry with – He is angry with ine.
13. Angry at – The teacher was angry at your misconduct.
14. Approve of – I do not approve of your action.
15. Arrive at – He arrived at Jalandhar at six o’clock.
16. Ashamed of – He feels ashamed of his conduct.
17. Assure of -I assure you of my help.
18. Astonished at – I was astonished at his failure.
19. Avail of – Avail yourself of this opportunity.
20. Aware of – I am aware of my shortcomings.
21. Believe in – I do not believe in ghosts.
22. Belong to – He belongs to a rich family.
23. Bent on – He is bent on mischief.
24. Bless with – She was blessed with a son.
25. Blind in – He is blind in one eye.
26. Blind to – You are blind to your shortcomings.
27. Boast of – Do not boast of your riches.
28. Born in – He was born in a poor family.
29. Born of – She was born of rich parents.
30. Born to – A son was born to her.
31. Bound for – The train is bound for Kolkata.
32. Busy with – I was busy with my work.
33. Call at – I called at his house this morning.

34. Call on – Tomorrow I shall call on you.
35. Care of – You should take care of your health.
36. Charge with – He was charged with murder.
37. Collide with – My cycle collided with a tonga.
38. Compare to – We may compare the world to a stage.
39. Complain of – He always complains of headache.
40. Condemn to – The murderer was condemned to death.
41. Confidence in – I have no confidence in you.
42. Conscious of – am conscious of my weaknesses.
43. Consist of – The class consists of forty boys.
44. Contented with – Be contented with your lot.
45. Deal in – His father deals in cotton.
46. Deal with – I know how to deal with you.
47. Deprive of – He was deprived of his share.
48. Die of – He died of cholera.
49. Differ from – This pen differs from that.
50. Differ with – I differ with you on this point.
51. Dispose of – He disposed of his old books.
52. Due to – His success is due to hard work.
53. Engage in – He is engaged in writing a book.
54. Engage to – She is engaged to a doctor.
55. Excel in – He excels me in speaking English.
56. Familiar to – His face is familiar to me.
57. Familiar with – I am not familiar with him.
58. Feed on – Cows feed on grass.
59. Feel for – We should feel for the poor.
60. Fond of – Children are fond of sweets.
61. Free from – Nobody is free from worries.
62. Full of – The glass is full of milk.
63. Good at – He is good at Mathematics.
64. Grateful to – I shall be grateful to you for this kindness.
65. Grieve at – He was grieved at his failure.
66. Guilty of – He was found guilty of theft.
67. Hope for – Let us hope for better result this time.
68. Ignorant of – He was ignorant of the facts.
69. Inferior to – This pen is inferior to that.
70. Infested with – This house is infested with rats.
71. Inform of – You did not inform me of his arrival.
72. Injurious to – Smoking is injurious to health.
73. Interest in – He has no interest in his studies.
74. Invite to – He invited me to dinner.
75. Junior to – He is junior to me in service.
76. Kind to – Be kind to the poor.
77. Key to – Hard work is the key to success.
78. Lame in – He is lame in one leg.
79. Laugh at – Do not laugh at the poor.
80. Listen to – Listen to what I say.
81. Live on – He lives on milk and fruit.
82. Married to – Rama was married to Sita.
83. Match for – Pakistan is no match for India.
84. Notorious for – He is notorious for gambling.
85. Obedient to – Be obedient to your teachers.
86. Obliged to – I am obliged to you for this help.
87. Occur to – An idea occurred to me.
88. Pity for – Have pity for the poor.
89. Pity on – He took pity on me.

90. Polite to – Be polite to all.
91. Preferable to – Death is preferable to dishonour.
92. Prefer to – I prefer death to dishonour.
93. Pray to – I pray to God daily.
94. Preside over – Who presided over the meeting ?
95. Prevent from – He prevented me from going there.
96. Prey to – He fell a prey to disease.
97. Proud of – She is proud of her beauty.
98. Quarrel with – Do not quarrel with others over trifles.
99. Reduce to – He was reduced to a skeleton.
100. Regard for – He has no regard for his teachers.
101. Related to – She is related to me.
102. Relieve of – He wants to be relieved of his duty.
103. Remember to – Please remember me to your father.
104. Remind of – He reminded me of my promise.
105. Responsible to – We are responsible to God for our actions.
106. Satisfied with – I am not satisfied with his work.
107. Search for – What are you searching for ?
108. Send for – We sent for the doctor.
109. Short of – We ran short of funds.
110. Sick of – He is sick of his son.
111. Similar to – This knife is similar to that.
112. Slow of – He is slow of understanding.
113. Sorry for – I am sorry for the delay.
114. Succeed in – He succeeded in getting a job.
115. Stand by – Will you stand by me in trouble ?
116. Suffer from – He suffered from malaria.
117. Superior to – My cap is superior to yours.
118. Sure of – I am sure of my success.
119. Surprised at – I am surprised at your behaviour.
120. Sympathetic to – The teacher is sympathetic to his students.
121. Sympathise with – Always sympathise with the poor.
122. Sympathy for – He has no sympathy for me.
123. Talk to – I talked to him about his problem
124. Taste for – I have no taste for games.
125. Tired of – I am tired of this type of life.
126. Tired with – I am tired with the day’s work.
127. Trust in – Trust in God and do the right.
128. True to – I am true to my friends.
129. Useful for – Exercise is useful for health.
130. Useful to – This book is very useful to me.
131. Warn of – He warned me of the danger.

132. Want in – Your son is wanting in common sense.
133. Wish for – I wish for your success.
134. Wonder at – I wondered at his trick.
135. Worthy of – I shall try to be worthy of your love.
136. Yield to – Never yield to injustice.

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 4 Linear Equations in Two Variables Ex 4.1 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 9 Maths Chapter 4 Linear Equations in Two Variables Ex 4.1

Question 1.
The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
(Take the cost of a notebook to be and that of a pen to be ₹ y.)
Answer:
Let the cost of a notebook be ₹ x and the cost of a pen be ₹ y.
Then, according to the given data, the cost of a notebook is twice the cost of a pen.
∴ x = 2y
Thus, x = 2y, i.e., x – 2y = 0 is the required linear equation in two variables.

Question 2.
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:
(i) 2x + 3y = 9.3\(\overline{5}\)
Answer:
2x + 3y = 9.3\(\overline{5}\)
∴ 2x + 3y – 9.3\(\overline{5}\) = 0
Here, a = 2, b = 3 and c = – 9.3\(\overline{5}\).

(ii) x – \(\frac{y}{5}\) – 10 = 0
Answer:
x – \(\frac{y}{5}\) – 10 = 0
∴x – \(\frac{1}{5}\)y – 10 = 0
Here, a = 1, b = – \(\frac{1}{5}\) and c = – 10.

(iii) – 2x + 3y = 6
Answer:
– 2x + 3y = 6
∴ – 2x + 3y – 6 = 0
Here, a = 1, b = – 3 and c = – 6.

(iv) x = 3y
Answer:
x = 3y
∴ x – 3y + 0 = 0
Here, a = 1, b = – 3 and c = 0.

(v) 2x = – 5y
Answer:
2x = – 5y
∴ 2x + 5y + 0 = 0
Here, a = 2, b = 5 and c = 0

(vi) 3x + 2 = 0
Answer:
3x + 2 = 0
∴ 3x + oy – 2 = 0
Here, a = 3, b = 1 and c = – 2

(vii) y – 2 = 0
Answer:
y – 2 = 0
∴ 0x + y – 2= 0
Here a = 0, b = 1 and c = – 2

(viii) 5 = 2x
Answer:
5 = 2x
∴ 5 – 2x = 0
∴ – 2x + 0y + 5 = 0
Here a = – 2, b = 0, c = 5

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 3 Coordinate Geometry MCQ Questions with Answers.

PSEB 9th Class Maths Chapter 3 Coordinate Geometry MCQ Questions

Multiple Choice Questions and Answer

Answer each question by selecting the proper alternative from those given below each question to make the statement true:

Question 1.
For x = 2, y = 3, u = – 2 and v = – 3, point (x + y, u + v) lies in the ……………. quadrant.
A. first
B. second
C. third
D. fourth
Answer:
D. fourth

Question 2.
For x = 4, y = – 5, u = – 6 and v = 8, point (x + y, u + v) lies In the quadrant.
A. first
B. second
C. third
D. fourth
Answer:
B. second

Question 3.
If (x, y) and (y, x) represent the same point in the coordinate plane, then is possible.
A. x = 5, y = 2
B. x = 2, y = 5
C. x = – 5. y = – 2
D. x = 5, y = 5
Answer:
D. x = 5, y = 5

Question 4.
The line Joining P(3, -2) and Q(3, 4)
A. is parallel to the x-axis
B. is parallel to the y-axis
C. is perpendicular to the y-axis
D. intersects both the axes
Answer:
B. is parallel to the y-axis

Question 5.
The line joining A(- 2, 5) and B(- 2, – 8)
A. is parallel to the x-axis
B. is perpendicular to the x-axis
C. intersects the y-axis
D. intersects both the axes
Answer:
B. is perpendicular to the x-axis

Question 6.
The line joining A (- 2, 5) and B (3, 5) intersects ……………….. .
A. the x-axis at (- 2, 0)
B. the x-axis at (3, 0)
C. the y-axis at (0, 5)
D. the x-axis at (5, 0)
Answer:
C. the y-axis at (0, 5)

Question 7.
The line joining A (3, 2) and B (3, – 2) intersects …………………….. .
A. the x-axis at (0, 3)
B. the x-axis at (3, 0)
C. the y-axis at (0, 2)
D. the y-axis at (0, – 2)
Answer:
B. the x-axis at (3, 0)

Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 3 Coordinate Geometry Ex 3.3 Textbook Exercise Questions and Answers.

PSEB Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.3

Question 1.
In which quadrant or on which axis does each of the points (- 2, 4), (3, – 1), (- 1, 0), (1, 2) and (- 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
Answer:

Coordinates of the point	Position of the point
(- 2, 4)	In the 2nd quadrant
(3, – 1)	In the 4th quadrant
(- 1, 0)	On the x-axis
(1, 2)	In the 1st quadrant
(- 3, – 5)	In the 3rd quadrant

Question 2.
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes:

Answer: