JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

3^{49}(x+i y)=\left(\frac{3}{2}+i \frac{\sqrt{3}}{2}\right)^{100}

and

x=k y

, then

k

View answer and explanation

Correct option: D

-\frac{1}{\sqrt{3}}

The value of k is

-\frac{1}{\sqrt{3}}

because it is found by simplifying the given complex number equation and comparing the real and imaginary parts.

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