Let the lines \( (2-\mathrm{i}) z=(2+\mathrm{i}) \bar{z} \) and P \...

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Let the lines \( (2-\mathrm{i}) z=(2+\mathrm{i}) \bar{z} \) and
P \( (2+\mathrm{i}) z+(\mathrm{i}-2) \bar{z}-4 \mathrm{i}=0,\left(\quad\right. \) here \( \left.\mathrm{i}^{2}=-1\right) \) be normal to

W. a circle \( \mathrm{C} \). If the line \( i z+\bar{z}+1+i=0 \) is tangent to this circle \( C \), then its radius is: [JEE Main-2021 (February)]
(a) \( \frac{3}{2 \sqrt{2}} \)
(b) \( 3 \sqrt{2} \)
(c) \( \frac{1}{2 \sqrt{2}} \)
(d) \( \frac{3}{\sqrt{2}} \)
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