Q40 of 153 Page 14

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

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