NCERT Solutions Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.2
Introduction:
In this exercise/article we will learn about Coordinate Geometry. The horizontal line X' X called the X-axis and the vertical line Y' Y is called the Y-axis. The point where X' X and Y' Y cross is called the origin, and is denoted by O. Since the positive numbers lie on the directions OX and OY , are called the positive directions of the x-axis and the y-axis, respectively. Similarly, OX' and OY' are called the negative directions of the x-axis and the y-axis, respectively. You see figure properly and read & learn 4 most important points in the exercise.
(i) If a point is in the 1st Quadrant, then the point will be in the form ( +,+ ) , since the 1st Quadrant is enclosed by the positive x-axis and the positive y-axis.
(ii) If a point is in the 2st Quadrant, then the point will be in the form ( -,+ ) , since the 2st Quadrant is enclosed by the negative x-axis and the positive y-axis.
(iii) If a point is in the 3st Quadrant, then the point will be in the form ( -,- ) , since the 3st Quadrant is enclosed by the negative x-axis and the negative y-axis.
(iv) If a point is in the 4st Quadrant, then the point will be in the form ( +,- ) , since the 4st Quadrant is enclosed by the positive x-axis and the negative y-axis.
NCERT Class 9 Maths Chapter 3 Coordinate Geometry :
- NCERT Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.1
- NCERT Class 9 Maths Chapter 3 Coordinate Geometry Exercise 3.2
Class 9 Maths Exercise 3.2 (Page-52)
Q1. Write the answer of each of the following questions :
(i) What is the name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane ?
Solution :
The name of horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane is the X - axis and Y - axis .
(ii) What is the name of each part of the plane formed by these two lines ?
Solution :
The name of each part of the plane formed by these two lines are Quadrant .
(iii) What is the name of the point where these two lines intersecting.
Solution :
The name of the point where these two lines intersecting called origin .
Q2. See fig. 3.14, and write the following :
(i) The coordinates of B.
(ii) The coordinates of C.
(iii) The point identified by the coordinates ( -3, -5 ).
(iv) The point identified by the coordinates ( 2, -4 ).
(v) The abscissa of the point D.
(vi) The ordinate of the point H.
(vii) The coordinates of the point L.
(viii) The coordinates of the point M.
Solution :
(i) The coordinates of B = ( -5, 2 ).
(ii) The coordinates of C = ( 5, -5 ).
(iii) The point identified by the coordinates ( -3, -5 ) = E .
(iv) The point identified by the coordinates ( 2, -4 ) = G .
(v) The abscissa of the point D = ( 6, 2 ).
(vi) The ordinate of the point H = ( -5, -3 ).
(vii) The coordinates of the point L = ( 0, 5 ).
(viii) The coordinates of the point M = ( -3, 0 ).