1. In which quadrant does the point (3, 5) lie?
- AQuadrant I
- BQuadrant II
- CQuadrant III
- DQuadrant IV
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Answer: A) Quadrant I
Both coordinates are positive (+, +), so the point lies in Quadrant I.
Class 9 Quadrants and Signs — practice questions with answers
Coordinate Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Riya plots the origin. The coordinates of the origin are:
- A(0, 0)
- B(1, 1)
- C(0, 1)
- D(1, 0)
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Answer: A) (0, 0)
The origin is the intersection of the axes, with coordinates (0, 0).
3. On the grid, in which quadrant is the marked point R = (-4, -2)?
- AQuadrant III
- BQuadrant II
- CQuadrant IV
- DQuadrant I
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Answer: A) Quadrant III
(-4, -2) has both coordinates negative, so Quadrant III, matching the plotted point.
4. A point lies in Quadrant I. It is moved 9 units to the left (x decreases by 9) while y stays the same.
If the new point is (-2, 5), what was the original x-coordinate?
If the new point is (-2, 5), what was the original x-coordinate?
- A6
- B14
- C7
- D8
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Answer: C) 7
New x = old x - 9 = -2, so old x = -2 + 9 = 7. (The original point (7, 5) is indeed in Quadrant I.)
5. A point P(x, y) lies in Quadrant II. Consider a new point P' = (y, x), formed by swapping the coordinates.
In which quadrant does P' lie?
In which quadrant does P' lie?
- AQuadrant IV
- BQuadrant I
- CQuadrant II
- DQuadrant III
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Answer: A) Quadrant IV
In Quadrant II, x < 0 and y > 0. Then P' = (y, x) has first coordinate y > 0 and second coordinate x < 0, i.e. (+, -), Quadrant IV.
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