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Find a relation between x and y such that the point P (x,y) is equidistant from the points A(1,4) and B(-1,2).

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Find a relation between x and y such that the point P (x,y) is equidistant from the points A(1,4) and B(-1,2).

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Let P(x,y) be equidistance from the points A(1,4) and B(−1,2)

Given: AP=BP

AP2 = BP2

By distance formula,

⇒ x + y − 3 = 0 gives the relation between x and y.

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