Let Complex Number z=x+iy Such... | JEE Main 2023 | Complex

JEE MAIN 2023

10-04-23 S1

Question

Let the complex number $z=x+i y$ be such that $\frac{2 z-3 i}{2 z+i}$ is purely imaginary. If $x+y^2=0$, then $y^4+y^2-y$ is equal ton

Select the correct option:

A

$\frac{3}{2}$

B

$\frac{4}{3}$

C

$\frac{2}{3}$

D

$\frac{3}{4}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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