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Mathematics · 2019

JEE Main · 10 January 2019, Shift 1 · Q62

Let z_1 and z_2 be any two non-zero complex numbers such that 3| z_1|=4| z_2|. If z =(3 z_1)/(2 z_2)+(2 z_2)/(3 z_1) then:

Let $\displaystyle \mathrm{z}_1$ and $\displaystyle \mathrm{z}_2$ be any two non-zero complex numbers such that $\displaystyle 3\left|\mathrm{z}_1\right|=4\left|\mathrm{z}_2\right|$. If $\displaystyle \mathrm{z}=\frac{3 \mathrm{z}_1}{2 \mathrm{z}_2}+\frac{2 \mathrm{z}_2}{3 \mathrm{z}_1}$ then :
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.