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Find a relation between x & y such that the point P(x,y) is equidistant from the

points A(-5,3) and B(7,2).

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points A(-5,3) and B(7,2).

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PA=PB

⇒√[-5-x]²+[3-y]² =√[7-x]²+[2-y]²

⇒√25+x²-10x +9+y²-6y =√49+x²-14x +4+y²-4y

⇒25+x-10x+9+y-6y=49+x-14x+4+y-4y

⇒25-49 +x-x -10x+14x+y-y-6y+4y+9-4

⇒-24+4x-2y +5=0

⇒-19+4x-2y=0

-⇒4x+2y=19

4y-2y=19