- A(6, −6)
- B(−6, 6)
- C(−6, −6)
- D(6, 6)
Step-by-Step Solution
Six units below the -axis means the ordinate is −6. Since the abscissa equals the ordinate, the abscissa is also −6, so the point is (−6, −6), which lies in quadrant III.
Answer: C) (−6, −6)
A point has its abscissa equal to its ordinate and lies 6 units below the -axis. What are its coordinates?
Class 9Coordinate GeometryCoordinate Geometry
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.
- **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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