- A5
- B2
- C3
- D4
Step-by-Step Solution
(−2, 5) is in II, (3, 4) in I, (−1, −6) in III and (5, −5) in IV. The point (0, 7) has abscissa 0, so it lies on the -axis and belongs to no quadrant, leaving 4 points.
Answer: D) 4
A student plots the five points (−2, 5), (3, 4), (−1, −6), (0, 7) and (5, −5). How many of them lie inside a quadrant?
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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