JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

The magnitude and amplitude of

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

are respectively

View answer and explanation

Correct option: B

2\sqrt 2 ,\frac{{3\pi }}{4}

Option B (

2\sqrt 2 ,\frac{{3\pi }}{4}

) is correct because it represents the magnitude and amplitude of the given complex number after simplification.

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

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\alpha, \beta

\gamma

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