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If the distances of P(x, y) from A(5,1) ...

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

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To prove that the distances from point \( P(x, y) \) to points \( A(5, 1) \) and \( B(-1, 5) \) are equal, we can follow these steps: ### Step 1: Use the Distance Formula The distance \( d \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by the formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] ...
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