Coordinate Geometry — Important Questions
Gujarat Board · Class 10 · Mathematics
45 important questions from Coordinate Geometry for Gujarat Board Class 10 Mathematics, with answers. Written for the board exams 2027.
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Important Questions from Coordinate Geometry
Which of the following points lie on the x-axis?
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(3, 0), (-2, 0), (7, 0)
Points on x-axis have y-coordinate = 0. So (3,0), (-2,0), and (7,0) lie on x-axis. Points (0,5) and (0,-4) lie on y-axis as their x-coordinate is 0.
What is the distance between points (0, 0) and (3, 4)?
The point (4, 0) lies on the x-axis.
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True
True. Any point with y-coordinate = 0 lies on the x-axis. Since (4, 0) has y-coordinate = 0, it lies on the x-axis.
Find the coordinates of point Q if the midpoint of PQ is (4, 3) and P is (2, 1).
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(6, 5)
If midpoint M = (4, 3) and P = (2, 1), then using midpoint formula: (4, 3) = ((2 + x)/2, (1 + y)/2). Solving: 4 = (2 + x)/2 → x = 6, and 3 = (1 + y)/2 → y = 5. So Q = (6, 5).
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