If z = α + iβ satisfies |z + 2.... | JEE Main 2023 | Complex

JEE MAIN 2023

8-4-2023 S1

Question

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

Select the correct option:

A

$x^2+7 x+12=0$

B

$x^2+3 x-4=0$

C

$x^2+2 x-3=0$

D

$x^2+x-12=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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