The conjugate of ( 2 + i ) 2 3 + i , in the form of a+ib, is Options: A . &nbsp132+i(152) B . &nbsp1310+i(−152) C . &nbsp1310+i(−910) D . &nbsp1310+i(910)

Answer: Option C : C z = ( 2 + i ) 2 3 + i = 3 + 4 i 3 + i × 3 − i 3 − i = 13 10 + i 9 10 Conjugate = 13 10 − i 9 10 .

The conjugate of (2+i)23+i , in the form of a+ib, is

Question

The conjugate of

\frac{(2 + i)^{2}}{3 + i}

, in the form of a+ib, is

Options:

A . 132+i(152)

B . 1310+i(−152)

C . 1310+i(−910)

D . 1310+i(910)

Answer: Option C
:
C
z =

\frac{(2 + i)^{2}}{3 + i} = \frac{3 + 4 i}{3 + i} \times \frac{3 - i}{3 - i} = \frac{13}{10} + i \frac{9}{10}

Conjugate =

\frac{13}{10} - i \frac{9}{10}

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