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



On squaring both sides, we get


=


=


=


AP = = = units


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