Question

A triangle is formed by the lines x+y=0 , x-y=0 and lx+my=1 .
If l and m are the parameters such that \(\large \bf l^2+m^2=1\) , then the locus of its circumcenter is

Answer 1

Options are :-
\[\large \bf A) (x^2-y^2)^2=x^2+y^2\]
\[\large \bf B) (x^2+y^2)^2=(x^2-y^2)\]
\[\large \bf C) (x^2+y^2)^2=4x^2y^2+(x^2+y^2)\]
\[\large \bf D) (x^2-y^2)^2=(x^2+y^2)^2\]

Answer 2

this doesn't seem difficult,
what have you tried?

Answer 3

x,y is just the mid-point of 2 intersection points,
I1, I2.