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Coordinate Geometry — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Coordinate Geometry MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
A point on the x-axis has coordinates of the form:
A. (0, y)
B. (x, 0) ✓ Correct
C. (x, x)
D. (y, y)
Solution: On the x-axis, y = 0.
Q2 — easy
The midpoint of the segment joining (2,4) and (6,8) is:
A. (4,6) ✓ Correct
B. (8,12)
C. (3,5)
D. (2,6)
Solution: Average the coordinates.
Q3 — easy
In which quadrant does the point (−4, −5) lie?
A. I
B. II
C. III ✓ Correct
D. IV
Solution: Both coordinates negative is quadrant III.
Q4 — hard
Find the value of k if the distance between (2, k) and (2, 5) is 3 units.
A. 2 or 8 ✓ Correct
B. 3 or 7
C. 1 or 9
D. 0 or 5
Solution: |k − 5| = 3 → k = 2 or 8.
Q5 — hard
The centroid of a triangle with vertices (0,0), (6,0) and (0,9) is:
A. (2,3) ✓ Correct
B. (3,4.5)
C. (6,9)
D. (3,3)
Solution: Average of the three vertices.
Q6 — hard
A point equidistant from (0,0) and (4,0) lies on the line:
A. x = 2 ✓ Correct
B. y = 2
C. x = 4
D. y = 0
Solution: The perpendicular bisector is x = 2.
Q7 — medium
The point which divides the segment joining (0,0) and (6,9) in ratio 1:2 is:
A. (2,3) ✓ Correct
B. (3,4.5)
C. (4,6)
D. (1,1.5)
Solution: Section formula gives (2,3).
Q8 — medium
The distance between (0,0) and (a, b) is:
A. a + b
B. √(a² + b²) ✓ Correct
C. a² + b²
D. ab
Solution: Distance formula from the origin.
Q9 — medium
If the midpoint of (x, 6) and (4, 2) is (3, 4), find x.
A. 1
B. 2 ✓ Correct
C. 3
D. 5
Solution: (x+4)/2 = 3 → x = 2.