Find the conjugate of the following complex number.
$\frac{5 i}{7 + i}$ .

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Solution

z= $\frac{5 i}{7 + i} \times \frac{7 - i}{7 - i} = \frac{35 i + 5}{49 + 1} = \frac{1}{10} + \frac{7}{10} i$
$∴$ $¯ ¯ ¯ z$ = $\frac{1}{10} - \frac{7}{10} i$

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