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A point has abscissa −4 and lies on the -axis. Which statement about it is TRUE?

Class 9Coordinate GeometryCoordinate Geometry
  • AIts ordinate is −4 as well, so the point is (−4, −4).
  • BIts ordinate is 0, and the point lies 4 units to the left of the origin.
  • CIt lies in quadrant III, because its abscissa is negative.
  • DIt lies on the -axis, 4 units below the origin.

Step-by-Step Solution

Every point on the -axis has ordinate 0, so this point is (−4, 0). A negative abscissa means it sits 4 units to the left of the origin, and points on an axis lie in no quadrant.
Answer: B) Its ordinate is 0, and the point lies 4 units to the left of the origin.

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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