JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

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

View answer and explanation

Correct option: D

Option D (3) is correct because solving the equation |z+1|=αz+β(1+i) for α and β yields α=1 and β=2, so α+β=3.

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