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Complex Numbers question

2024 · 8 Apr · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2024 · 8 Apr · Shift 1 · Q43

Complex Numbers question

2024 · 8 Apr · Shift 1 · Q43

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

z

be a complex number such that

|z+2|=1

and

\operatorname{lm}\left(\frac{z+1}{z+2}\right)=\frac{1}{5}

. Then the value of

|\operatorname{Re}(\overline{z+2})|

is

A
$\frac{2 \sqrt{6}}{5}$
B
$\frac{24}{5}$
C
$\frac{\sqrt{6}}{5}$
D
$\frac{1+\sqrt{6}}{5}$

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