The conjugate of $\frac{{{{(2 + i)}^2}}}{{3 + i}},$ in the form of $a + ib$, is
The conjugate of $\frac{{{{(2 + i)}^2}}}{{3 + i}},$ in the form of $a + ib$, is
- A
$\frac{{13}}{2} + i\,\left( {\frac{{15}}{2}} \right)$
- B
$\frac{{13}}{{10}} + i\left( {\frac{{ - 15}}{2}} \right)$
- C
$\frac{{13}}{{10}} + i\,\left( {\frac{{ - 9}}{{10}}} \right)$
- D
$\frac{{13}}{{10}} + i\,\left( {\frac{9}{{10}}} \right)$
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- [IIT 2022]
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