Let the set of all | Complex Number | JEE MAIN 2026

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JEE MAIN 2026

06-04-26_S1

Question

Let the set of all values of $k \in \mathrm{i}$ such that the equation $z(\bar{z}+2+i)+k(2+3 i)=0, z \in \mathrm{C}$, has at least one solution, be the interval $[\alpha, \beta]$. Then $9(\alpha+\beta)$ is equal to :

Select the correct option:

A

-10

B

-8

C

$10 \sqrt{13}$

D

$8 \sqrt{13}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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