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14. Co-ordinate Geometry
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Q17 of 149 Page 14

Prove that the points (- 2, 5), (0, 1) and (2, - 3) are collinear.

Vertices are: A(- 2, 5), B(0, 1) and C(2, - 3)


Using distance formula =


Length of side AB = = = = units


Length of side BC = = = = units


Length of side AC = = = = units


Since length of AB + BC = AC, therefore points are collinear.


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Two vertices of an isosceles triangle are (2, 0) and (2, 5). Find the third vertex if the length of the equal sides is 3.

16

Which point on x-axis is equidistant from (5, 9) and (- 4, 6)?

18

The coordinates of the point P are (-3, 2). Find the coordinates of the point Q which lies on the line joining P and origin such that OP = OQ.

19

Which point on y-axis is equidistant from (2, 3) and (-4, 1)?

Questions · 149
14. Co-ordinate Geometry
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