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Complex Numbers question

2020 · 4 Sep · Shift 2 · Q31

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2020 · 4 Sep · Shift 2 · Q31

Complex Numbers question

2020 · 4 Sep · Shift 2 · Q31

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If a and b are real numbers such that

{\left( {2 + \alpha } \right)^4} = a + b\alpha

where

\alpha = {{ - 1 + i\sqrt 3 } \over 2}

then a + b is equal to :

A
33
B
9
C
24
D
57

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