JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

i=\sqrt{-1}

, then

4+5\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)^{334}+3\left(-\frac{1}{2}+\frac{i \sqrt{3}}{2}\right)^{365}

is equal to

View answer and explanation

Correct option: C

i \sqrt{3}

Option C (

i \sqrt{3}

) is correct because it is the simplified form of the given complex number expression using properties of cube roots of unity.

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