| --- |
| source: ncert_exercises |
| topic: geometry |
| class_level: class_9 |
| chapter: ch3 |
| exercise: ex3.2 |
| difficulty: beginner |
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| |
| Class 9 | Ch3: Coordinate Geometry | Exercise 3.2 |
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| 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). ✅ |
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| 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. ✅ |
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| 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: (+,-). ✅ |
