1.

(i) If the point (x, y) is equidistant from the points (a + b, b − a) and (a − b, a + b), prove that bx = ay.(ii) If the distances of P(x, y) from A(5, 1) and B(–1, 5) are equal then prove that 3x = 2y.

Answer» (i) If the point (x, y) is equidistant from the points (a + b, b − a) and (a − b, a + b), prove that bx = ay.



(ii) If the distances of P(x, y) from A(5, 1) and B(–1, 5) are equal then prove that 3x = 2y.


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