The conjugate of complex number (\frac{2 - 3i}{4 - i}) is | MATH - INTEGRAL POWER OF IOTA, ALGEBRAIC OPERATIONS AND EQUALITY OF COMPLEX NUMBERS | SolveeIt

The conjugate of complex number $\frac{2 - 3i}{4 - i}$ is

$\frac{3i}{4}$

$\frac{11 + 10i}{17}$

$\frac{11 - 10i}{17}$

$\frac{2 + 3i}{4i}$

Answer

$\frac{11 + 10i}{17}$

Explanation

Sol. $\frac{2 - 3i}{4 - i} = \frac{(2 - 3i)(4 + i)}{(4 - i)(4 + i)} = \frac{8 + 3 - 12i + 2i}{16 + 1} = \frac{11 - 10i}{17}$

⇒ Conjugate $= \frac{11 + 10i}{17}.$

Question: The conjugate of complex number \(\frac{2 - 3i}{4 - i}\) is...