If the point P (x, 3) is equidistant from the points A (7,-1) and B (6, 8), find the value of x and find the distance AP.
Coordinates are A (7,-1) and B (6, 8)
The point P (x, 3) is equidistant.
Using distance formula =![]()
⇒ PA = PB
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On squaring both sides, we get
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AP =
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units
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