Let z = x + iy be a non-zero complex number such that z 2 = i z 2 , where i = - 1 , then z lies on the :

Question

Let z = x + iy be a non-zero complex number such that z 2 = i z 2 , where i = - 1 , then z lies on the :, line, y = - x, imaginary axis, line, y = x, real axis

MARKS App · Accepted Answer

x + i y 2 = i x 2 + y 2 ⇒ x 2 - y 2 + 2 i x y = i ( x 2 + y 2 ) compare real and imaginary parts ⇒ x = y

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