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Question

Mathematics Question on Complex Numbers and Quadratic Equations

Let the complex number z = x + iy be such that 2z-3i / 2z+i is purely imaginary. If x + y2 = 0, then y4 + y2 - y is equal to

A

23\frac{2}{3}

B

32\frac{3}{2}

C

34\frac{3}{4}

D

43\frac{4}{3}

Answer

34\frac{3}{4}

Explanation

Solution

The Correct Option is (C): 32\frac{3}{2}