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

Step-by-step solution

array ll & (x +y )^2= (x^2+y^2 ) ^2 & x^2 ^2 +y^2 ^2 +2 x y & =x^2 ^2 +y^2 ^2 & x^2 ( ^2 - ^2 )+2 x y =0 array This represents a pair of straight lines where a = ^2 - ^2 , h = and b =0 As lines are perpendicular, we get aligned & a+b=0 & ^2 = ^2 = 4 aligned