If z=\frac{1}{2}-2 i, is such that |z+1|=\alpha z+\beta(1+i), i=\sqrt{-1} and \alpha, \beta \in {\R}, then \alpha+\beta is equal to [29-Jan-2024 Shift 1]

JEE Main 29-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 5 of 90

Marks: +1, -0

If z=‌

−2i, is such that |z+1|=αz+β(1+i),i=√−1 and α,β∈R‌‌, then α+β is equal to

[29-Jan-2024 Shift 1]

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