Mark the Correct alternative in the following:
The complex number z which satisfies the condition lies on
Let, z = x + iy
x4+y4+1+2x2 y2+2x2-2y2= x4+y4+1+2x2 y2+2x2+
6y2-4y3-2xy(x+y)-4y
8y2 – 4y3 – 2xy(x + y) – 4y = 0
y(8y – 4y2 – 2x(x + y) – 4) = 0
y = 0 and 8y – 4y2 – 2x(x + y) – 4 = 0
So, by y = 0 we can say that it lies on x axis