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Complex Numbers question

2021 · 25 Feb · Shift 1 · Q31

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JEE Main
Mathematics
Complex Numbers
2021 · 25 Feb · Shift 1 · Q31

Complex Numbers question

2021 · 25 Feb · Shift 1 · Q31

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let the lines (2

-

i)z = (2 + i)

\overline z

and (2

+

i)z + (i

-

2)

\overline z -

4i = 0, (here i2 =

-

1) be normal to a circle C. If the line iz +

\overline z

+ 1 + i = 0 is tangent to this circle C, then its radius is :

A
${3 \over {2\sqrt 2 }}$
B
$3\sqrt 2$
C
${1 \over {2\sqrt 2 }}$
D
${3 \over {\sqrt 2 }}$

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