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Complex Numbers question

2023 · 8 Apr · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2023 · 8 Apr · Shift 1 · Q37

Complex Numbers question

2023 · 8 Apr · Shift 1 · Q37

JEE MainMathematicsComplex NumbersMCQ+4 / −1

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

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