If a>0 and z=((1+i)²)/(a−i)... | Complex Numbers

JEE MAIN_2019

_10-04-2019-S-1

Question

If $a>0$ and $z=\frac{(1+i)^2}{a-i}$, has magnitude $\sqrt{\frac{2}{5}}$, then $\bar{z}$ is equal to:

Select the correct option:

$-\frac{1}{5}+\frac{3}{5} i$

$-\frac{3}{5}-\frac{1}{5} i$`

$\frac{1}{5}-\frac{3}{5} i$

$-\frac{1}{5}-\frac{3}{5} i$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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