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Assertion (A): Every point on the -axis has its ordinate equal to 0. Reason (R): On the -axis, the point is at zero vertical distance from the -axis itself. Which is correct?

Class 9Coordinate GeometryCoordinate Geometry
  • ABoth A and R are true and R correctly explains A
  • BBoth A and R are true but R does not explain A
  • CA is true but R is false
  • DA is false but R is true

Step-by-Step Solution

Points on the -axis have (A is true). The ordinate measures vertical distance from the -axis, which is zero there (R is true and explains A).
Answer: A) Both A and R are true and R correctly explains A

Key idea: Special points

- **Origin**: (0, 0).
- **On -axis**: , so the form is (a, 0). Examples: (3, 0), (−5, 0).
- **On -axis**: , so the form is (0, b). Examples: (0, 7), (0, −2).
- **First-quadrant point**: both positive.
- **Third-quadrant point**: both negative.

Knowing which axis or quadrant a point belongs to is a quick check that you've plotted it correctly.

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