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source: ncert_exercises
topic: geometry
class_level: class_9
chapter: ch3
exercise: ex3.2
difficulty: beginner
---
Class 9 | Ch3: Coordinate Geometry | Exercise 3.2
Q1. Write the answer of each of the following:
(i) What is the name of horizontal and vertical lines drawn to determine position of any point in Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect.
Answer:
(i) Horizontal line = x-axis. Vertical line = y-axis. ✅
(ii) Each part is called a Quadrant. There are 4 quadrants. ✅
(iii) The point of intersection is called the Origin (O). ✅
Q2. See the given figure and write the following:
(i) Coordinates of B (ii) Coordinates of C (iii) Point identified by (-3,-5)
(iv) Point identified by (2,-4) (v) Abscissa of point D (vi) Ordinate of point H
(vii) Coordinates of point L (viii) Coordinates of point M
Answer (standard NCERT figure values):
(i) B = (-5, 2). ✅
(ii) C = (5, -5). ✅
(iii) Point E is at (-3,-5). ✅
(iv) Point G is at (2,-4). ✅
(v) Abscissa of D = 6 (x-coordinate of D). ✅
(vi) Ordinate of H = -3 (y-coordinate of H). ✅
(vii) L = (0, 5). ← On y-axis, x=0. ✅
(viii) M = (-3, 0). ← On x-axis, y=0. ✅
Key rules:
- Point on x-axis: y=0. Point on y-axis: x=0.
- Abscissa = x-coordinate. Ordinate = y-coordinate.
- Quadrant I: (+,+). II: (-,+). III: (-,-). IV: (+,-). ✅ |