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in Coordinate Geometry by (29.9k points)
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If the point P(k-1, 2) is equidistant from the points A(3,k) and B(k,5), find the value of k.

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The given points are P(k - 1,2), A(3,k) and B(k,5).

\(\because AP=BP\)

\(\therefore AP^2=BP^2\)

Hence, k = 1 or k = 5

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