JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

{\left( {\sqrt 3 + i} \right)^{10}} = a + ib,

then

a

and

b

are respectively

View answer and explanation

Correct option: C

512\;\& - 512\sqrt 3

Option C (512 & -512√3) is correct. By converting the complex number to polar form and using De Moivre's theorem, the result is 512 - 512√3i.

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\left|\sum\limits_{r=1}^n z_r\right|

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\alpha, \beta

\gamma

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