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Assertion (A): The point (−3, 0) lies in quadrant II. Reason (R): A point with a negative -coordinate always lies in quadrant II. Which is correct?

Class 9Coordinate GeometryCoordinate Geometry
  • ABoth A and R are false
  • BA is true but R is false
  • CA is false but R is true
  • DBoth A and R are true

Step-by-Step Solution

(−3, 0) has , so it lies on the -axis, not quadrant II — A is false. A negative with negative gives quadrant III, so R is also false.
Answer: A) Both A and R are false

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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