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JEE Advance2022
Paper-2
Question
Let $\bar{z}$ denote the complex conjugate of a complex number $z$. If $z$ is a non-zero complex number for which both real and imaginary parts of $$ (z)^2+\frac{1}{f^{\prime}} $$ are integers, then which of the following is/are possible value(s) of $|z|$ ?
Select the correct option:
A
$\left(\frac{43+3 \sqrt{205}}{2}\right)^{\frac{1}{4}}$
B
$\left(\frac{(7+\sqrt{33})}{4}\right)^{\frac{1}{4}}$
C
$\left(\frac{9+\sqrt{65}}{4}\right)^{\frac{1}{4}}$
D
$\left(\frac{(7+\sqrt{13})}{6}\right)^{\frac{1}{6}}$
✓ Correct! Well done.
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JEE Advance
Mathematics
Easy
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