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14. Co-ordinate Geometry
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Q33 of 149 Page 14

If the point P(x, y) is equidistant from the points A(5, 1) and B (1, 5), prove that x = y.

Coordinates are P(x, y), A(5, 1) and B (1, 5)


Using distance formula =


⇒ PA = PB



On squaring both sides, we get


=


=


=


proved


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31

Find the value of x such that where the coordinates of P, Q and R are (6,-1), (1, 3) and (x, 8) respectively.

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Q (0, 1) is equidistant from P (5, -3) and R (x, 6), find the values of x. Also, find the distances QR and PR.

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Questions · 149
14. Co-ordinate Geometry
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