If the distance ofp[x,y]from A(6,2)and B(2,6) an equal prove that y=x

1.	If the distance ofp[x,y]from A(6,2)and B(2,6) an equal prove that y=x
Answer» P(x, y), A(6,2), B(- 2, 6)PA = PB or, PA2 = PB2(x-6)2 + (y -2)2 = (x + 2)2 + (y - 6)2or, x2 - 12x + 36 + y2- 4y + 4 = x2+ 4x + 4 + y2- 12y + 36or, -12x - 4y = 4 x - 12yor,12y -4y = 4x + 12xor,8y = 16xor,y = 2xHence Proved.

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