Coordinate Geometry — Practice Quiz
Gujarat Board · Class 10 · Mathematics
Try a 4-question quiz on Coordinate Geometry for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Coordinate Geometry
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Find the distance between points A(3, 4) and B(6, 8).
What is the distance of point P(5, 12) from the origin?
Find the midpoint of the line segment joining A(2, 6) and B(8, 4).
If point P divides the line segment joining A(1, 3) and B(7, 9) in ratio 1:2, find the coordinates of P.
Sample Questions
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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