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The point (p, q) lies in quadrant III. In which quadrant does the point (q, p) lie?

Class 9Coordinate GeometryCoordinate Geometry
  • AI
  • BII
  • CIII
  • DIV

Step-by-Step Solution

In quadrant III both p and q are negative. Swapping them still leaves a negative abscissa and a negative ordinate, so (q, p) is also in quadrant III — even though it is usually a different point from (p, q).
Answer: C) III

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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