Class 10

Math

All topics

Coordinate Geometry

If the point $(x,y)$ be equidistance from the point $(a+b,b−a)$ and $(a−b,a+b)$ , prove that $bx=ay$.

=> $x,y$ cuts AB in equal parts.

=>$(x,y)=(2a+b+a−b ,2b−a+a+b )(x,y)=(a,b)=>x=a&b=y$

so, $xb=ay$ (multiplying them both)