Saturday, 28 November 2020 08:31 AM
Let P(x,y), Q(a+b,b-a) and R(a-b,a+b) be the given points. Then,PQ=PR
?+=+
?{x-(a+b)}2+{y-(b-a)}2={x-(a-b)}2+{y-(a+b)}2
?x2-2x(a+b)+(a+b)2+y2-2y(b-a)+(b-a)2
=x2+(a-b)2-2x(a-b)+y2-2y(a+b)+(a+b)2
?-2x(a+b)-2y(b-a)=-2x(a-b)-2y(a+b)
?ax+bx+by-ay=ax-bx+ay+by
?2bx=2ay?bx=ay