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Find the co-ordinates of the point equidistant from three given points A(5,3), B(5, 5)  and C(1, 5)

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Find the co-ordinates of the point equidistant from three given points A(5,3), B(5, 5)  and C(1, 5)

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Let the required point be P(x,y). Then AP = BP = CP

That is, (AP)2 = (BP)2 = (CP)2

This means (AP)2 = (BP)2

Hence, the required point is (3, - 1).

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