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Mathematics · 2026

JEE Main · 4 April 2026, Shift 1 · Q3

Let z be a complex number such that | z +2|=| z -2| and ((z+3)/(z-i))=(π)/4. Then |z|^2 is equal to:

Let z be a complex number such that $\displaystyle |\mathrm{z}+2|=|\mathrm{z}-2|$ and $\displaystyle \arg \left(\frac{z+3}{z-i}\right)=\frac{\pi}{4}$. Then $\displaystyle |z|^2$ is equal to:
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.