Let be any two non-zero complex numbers ..

JEE Main 2019

10-01-2019 S1

Question

Let $z_1$ and $z_2$ be any two non-zero complex numbers such that $3\left|z_1\right|=4\left|z_2\right|$. If $z=\frac{3 z_1}{2 z_2}+\frac{2 z_2}{3 z_1}$ then

Select the correct option:

$\operatorname{lm}(\mathrm{z})=0$

$|z|=\sqrt{\frac{5}{2}}$

$|z|=\frac{1}{2} \sqrt{\frac{17}{2}}$

$\operatorname{Re}(z)=0$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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