Question

If two points A(2,3) and B(-6,-5) are equidistant from the point O(x,y),show that x+y+3=0.

Answer 1

Distance between OA = Distance between OB,

√[(x-2)²+(y-3)²] = √[(x+6)²+(y+5)²],

on squaring both sides, we have

x²+4-4x+y²+9-6y=x²+36+12x+y²+25+10y,

-4x-6y+13=12x+10y+61,

then

-4x-6y-12x-10y=61-13,

-16x-16y=48,

-16(x+y)=48,

x+y=48/-16,

then

x+y=-3,

x+y+3=0

Answer 2

refer the attachment
hope it may help u