Let the Lines (2−i)z=(2+i)z̄ Be... | JEE Main 2021 | Complex

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JEE MAIN 2021

25-02-21 S1

Question

Let the lines $(2-i) z=(2+i) \bar{z}$ and $(2+i) z+(i-2) \bar{z}-4 i=0$, (here $i^2=-1$ ) be normal to a circle $C$. If the line $\mathrm{i} \mathbf{z}+\overline{\mathbf{z}}+1+\mathrm{i}=0$ is tangent to this circle C , then its radius is:

Select the correct option:

A

$\frac{3}{\sqrt{2}}$

B

$\frac{1}{2 \sqrt{2}}$

C

$3 \sqrt{2}$

D

$\frac{3}{2 \sqrt{2}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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