Punjab State Board PSEB 9th Class Maths Book Solutions Chapter 3 Coordinate Geometry Ex 3.1 Textbook Exercise Questions and Answers.
PSEB Solutions for Class 9 Maths Chapter 3 Coordinate Geometry Ex 3.1
Question 1.
How will you describe the position of a table lamp on your study table to another person?
Answer:
First of all. I will explain that the study table is the first quadrant of the Cartesian plane, the edge nearer to me as the positive direction of the x-axis and the edge on my left Is the positive direction of the y-axis. Now, I will measure the distance of the table lamp from the edge nearer to me. Suppose that distance is y cm. Now, I will measure the distance of the table lamp from the edge on my left. Suppose that distance is x cm. Now, I can describe the position of the table lamp that it is y cm away from the edge nearer to me and x cm away from the edge on my left. In this manner, I can describe the position of any object lying on the table with two independent informations.
Question 2.
(Street Plan) : A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction.
All the other streets of the city run parallel to these roads and are 200 m apart. There are 5 streets in each direction. Using 1 cm = 200 m, draw a model of the city on your notebook. Represent the roads/streets by single lines.
There are many cross-streets in your model. A particular cross-street is made by two streets, one running in the North South direction and another in the East West direction. Each cross-street is referred to in the following manner:
If the 2nd street running in the North South direction and 5th in the East-West direction meet at some crossing. then we will call this cross-street (2, 5). Using this convention, find:
Answer:
(i) how many cross-streets can be referred to as (4, 3).
Answer:
One and only one cross-street can be referred to as (4, 3) because it is the intersection of 4th street running in the North-South direction and the 3rd street running in the East-West direction. As we are using two independent references, each cross-street (X, y) will be referred uniquely.
(ii) how many cross-streets can be referred to as (3, 4).
Answer:
One and only one cross-street can be referred to as (3, 4) because it is the intersection of the 3rd street running in the North-South direction and the 4th street running in the East-West direction.