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Complex Numbers question

2024 · 29 Jan · Shift 1 · Q45

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2024 · 29 Jan · Shift 1 · Q45

Complex Numbers question

2024 · 29 Jan · Shift 1 · Q45

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If

z=\frac{1}{2}-2 i

is such that

|z+1|=\alpha z+\beta(1+i), i=\sqrt{-1}

and

\alpha, \beta \in \mathbb{R}

, then

\alpha+\beta

is equal to

A
2
B
$-$ 4
C
3
D
$-$ 1

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