If the lines given by (x^2+y^2 ) ^2 =(x -y )^2 are perpendicular to each other, then ^2 + ^2 =

Step-by-step solution

Given pair of lines aligned & (x^2+y^2 ) ^2 =(x -y )^2 & x^2 2 +y^2(0)-2 x y =0 aligned Since lines are perpendicular. aligned & Coefficient of x^2+ coefficient of y^2=0 & 2 =0 aligned aligned & 1-2 ^2 =0 & ^2 = 1 2 & and ^2 =1- 1 2 = 1 2 & ^2 = ( 1 2 ) ( 1 2 ) =1 & ^2 + ^2 =1+ 1 2 = 3 2 aligned