JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

\left(-2-\frac{1}{3} i\right)^{3}=\frac{x+i y}{27}(i=\sqrt{-1})

, where

\mathrm{x}

and

\mathrm{y}

are real numbers then

y-x

equals :

View answer and explanation

Correct option: A

Option A (91) is correct because expanding

\left(-2-\frac{1}{3} i\right)^{3}

, equating it to

\frac{x+i y}{27}

, and then calculating

y-x

yields 91.

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