1. In the ordered pair (5, 3), what is the x-coordinate (abscissa)?
- A5
- B3
- C8
- D2
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Answer: A) 5
In (x, y) the first number is the x-coordinate (abscissa). Here it is 5.
Class 9 Plotting Points — 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. Which of these points lies on the y-axis?
- A(0, -5)
- B(3, 0)
- C(2, 2)
- D(-1, 4)
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Answer: A) (0, -5)
A point is on the y-axis when its x-coordinate is 0. Only (0, -5) qualifies.
3. The point (x, y) satisfies x = y. If both are negative, in which quadrant does the point lie?
- AQuadrant III
- BQuadrant I
- CQuadrant II
- DQuadrant IV
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Answer: A) Quadrant III
Both coordinates equal and negative means x<0 and y<0, which is Quadrant III.
4. A delivery rider starts at the origin, moves to (4, 0), then up to (4, 3), tracing two sides of a right triangle with the line back to the origin as hypotenuse.
What is the length of the hypotenuse (in units)?
What is the length of the hypotenuse (in units)?
- A6
- B5
- C4
- D10
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Answer: B) 5
The legs are 4 (horizontal) and 3 (vertical). Hypotenuse = = = 5 units.
5. Vertices of a triangle are A(0, 0), B(6, 0) and C(0, 8). Its area is computed using the base along the x-axis and the height along the y-axis.
What is the area of the triangle (in square units)?
What is the area of the triangle (in square units)?
- A26
- B22
- C48
- D24
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Answer: D) 24
Base AB = 6 (along x-axis), height AC = 8 (along y-axis). Area = = 24 square units.
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