The conjugate of \[\frac{{{(2+i)}^{2}}}{3+i},\] in the form of a + ib, is [Karnataka CET 2001; Pb. CET 2001]

\[\frac{13}{10}+i\,\left( \frac{9}{10} \right)\]

\[\frac{13}{2}+i\,\left( \frac{15}{2} \right)\]

\[\frac{13}{10}+i\left( \frac{-15}{2} \right)\]

\[\frac{13}{10}+i\,\left( \frac{-9}{10} \right)\]

The conjugate of \[\frac{{{(2+i)}^{2}}}{3+i},\] in the form of a + i

1.	The conjugate of \[\frac{{{(2+i)}^{2}}}{3+i},\] in the form of a + ib, is [Karnataka CET 2001; Pb. CET 2001]
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.	\[\frac{13}{10}+i\,\left( \frac{9}{10} \right)\]
Answer» D. \[\frac{13}{10}+i\,\left( \frac{9}{10} \right)\]

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The conjugate of \[\frac{{{(2+i)}^{2}}}{3+i},\] in the form of a + ib, is [Karnataka CET 2001; Pb. CET 2001]

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