Mathematics · 2023
JEE Main · 10 April 2023, Shift 1 · Q2
Let the complex number z=x+i y be such that (2 z-3 i)/(2 z+i) is purely imaginary. If x+y^2=0, then y^4+y^2-y is equal to:
Let the complex number $\displaystyle z=x+i y$ be such that $\displaystyle \frac{2 z-3 i}{2 z+i}$ is purely imaginary. If $\displaystyle x+y^2=0$, then $\displaystyle y^4+y^2-y$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{3}{4}$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.