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If the distances of P(x, y) from A(5, 1) and B(-1, 5) are equal

Coordinate Geometry (10)

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

Answer

PA2 = PB2

(x - 5)2 + (y - 1)2 = (x + 1)2 + (y - 5)2

12x = 8y

3x = 2y

Exam Year: 2017
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