JEE Mains · Maths · STD 11 - 4.1 complex nubers
The number of complex numbers \(z\), satisfying \(|z|=1\) and \(\left|\frac{z}{\bar{z}}+\frac{\bar{z}}{z}\right|=1\), is :
- A 4
- B 8
- C 10
- D 6
Answer & Solution
Correct Answer
(B) 8
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & |z|=1 \\ & \left|\frac{z}{\bar{z}}+\frac{\bar{z}}{z}\right|=1 \\ & \Rightarrow\left|z^2+(\bar{z})^2\right|=1 \end{aligned}\) Let \(z=x+i y\)…
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