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The point (m, n) lies in quadrant II. In which quadrant does the point (m, −n) lie?

Class 9Coordinate GeometryCoordinate Geometry
  • AII
  • BIII
  • CI
  • DIV

Step-by-Step Solution

In quadrant II the abscissa m is negative and the ordinate n is positive, so −n is negative. A negative abscissa together with a negative ordinate is quadrant III.
Answer: B) 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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