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If the point P(k-1, 2) is equidistant fr...

If the point P(k-1, 2) is equidistant from the points A(3, k) and B(k, 5), find the values of k.

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To solve the problem, we need to find the values of \( k \) such that the point \( P(k-1, 2) \) is equidistant from the points \( A(3, k) \) and \( B(k, 5) \). ### Step 1: Set up the distance equations Since \( P \) is equidistant from \( A \) and \( B \), we can set the distances equal to each other: \[ PA = PB \] ...
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