JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

The modulus and amplitude of

{\left( {1 + i\sqrt 3 } \right)^8}

are respectively

View answer and explanation

Correct option: B

256 and

\frac{{2\pi }}{3}

Option B (256 and

\frac{{2\pi }}{3}

) is correct because

(1 + i\sqrt 3)^8

can be simplified using De Moivre's theorem, resulting in a modulus of 256 and an argument of

\frac{{2\pi }}{3}

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