The angle between the lines represented by y^2 ^2 -x y ^2 +x^2 ( ^2 -1 )=0 is

Step-by-step solution

Equation of lines is x^2 ( ^2 -1 )-x y ^2 +y^2 ^2 =0 This is a homogeneous equation of second degree, on comparing with a x^2+2 h x y+b y^2=0 a= ^2 -1, ~b = ^2 , h=- 1 2 ^2 Now, aligned a+b & = ^2 -1+ ^2 & =1-1=0 aligned array ll & = 2 h^2-a b a+b & = = 2 array