JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

z=x-i y

and

z^{\frac{1}{3}}=p+i q

, then

\left(\frac{x}{p}+\frac{y}{q}\right) /\left(p^{2}+q^{2}\right)

is equal to

View answer and explanation

Correct option: A

-2

Option A (-2) is correct because by cubing

z^{\frac{1}{3}} = p + iq

and equating real and imaginary parts, the expression simplifies to -2.

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