If for z = α + iβ, |z + 2| = z + 4(1 + i), then α + β and αβ are… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 8 April, Shift 1Complex Numbers Basics

If for $z = \alpha + i\beta$ , $|z + 2| = z + 4(1 + i)$ , then $\alpha + \beta$ and $\alpha\beta$ are the roots of the equation:

A
$x^2 + 3x - 4 = 0$
B
$x^2 + 7x + 12 = 0$
C
$x^2 + x - 12 = 0$
D
$x^2 + 2x - 3 = 0$

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