Question

find conjugate of 3i-5/-2-i​

Answer 1

Given ,

3i - 5/-2 - i

On simplifying , we get

$\sf \mapsto \frac{3i - 5}{ - 2 - i} \times ( \frac{ - 2 + i}{ - 2 + i} ) \\ \\ \sf \mapsto \frac{ - 6i - 3 {(i)}^{2} + 10 - 5i}{ { {( - 2)}^{2} - {( i)}^{2} }} \\ \\ \sf \mapsto\frac{ - 3( -1 ) - 11i + 10}{4 + 1} \: \: \: \{ \because {(i)}^{2} = - 1 \} \\ \\ \sf \mapsto \frac{7}{5} - \frac{11i}{5}$

We know that , the conjugate of z is given by

$\boxed{ \sf \bar{z} = a - ib }$

Thus ,

$\sf \mapsto \bar{z} = \frac{7}{5} + \frac{11i}{5}$