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Free CBSE - Class 10 Mathematics - Coordinate geometry worksheets

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1.
Find the distance between the following pairs of points : (i) (2, 3), (4, 1)
2.
Find the distance between the following pairs of points : (ii) (– 5, 7), (– 1, 3)
3.
Find the distance between the following pairs of points : (iii) ($a$, $b$), (– $a$, – $b$)
4.

Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B.

5.
Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear.
6.
If (1, 2), (4, $y$), ($x$, 6) and (3, 5) are the vertices of a parallelogram taken in order, find $x$ and $y$.
7.
Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, – 3) and B is (1, 4).
8.
If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that AP = $\frac{3}{7}$ AB and P lies on the line segment AB.
9.
Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.
10.
Find the area of a rhombus if its vertices are (3, 0), (4, 5), (– 1, 4) and (– 2, – 1) taken in order. [Hint : Area of a rhombus = $\frac{1}{2}$ (product of its diagonals)]
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