If z = 1/2 - 2i such that |z + 1| = α z + β(1 + i), where i is th… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Complex Numbers Basics

If $z = \frac{1}{2} - 2i$ such that $|z + 1| = \alpha z + \beta(1 + i)$ , where $i$ is the imaginary unit and $\alpha, \beta$ are real numbers, then $\alpha + \beta$ is equal to:

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

Answer & step-by-step solution

Practice more Complex Numbers Basics questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Complex Numbers Basics

Answer & step-by-step solution

Practice more Complex Numbers Basics questions

Related questions