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Question

The complex number ω which satisfies the equation z3=8i and lying in the second quadrant on the complex plane.

A
i23
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B
2i3
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C
i3
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D
2i33
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Solution

The correct option is C i3
z3=8i
z3=8i3

(z2i)3=1
z2i=1 or ω or ω2
z=2i or 2iω or 2iω2
z=2i or 2i(1+3i2) or 2i(13i2)
Hence, z=2i or i+3 or i3 out of which i3 lies in second quadrant.

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