Q. The conjugate of complex number $\frac{2 - 3i}{4 - i}$ is
A) $\frac{3i}{4}$
B) $\frac{11 + 10i}{17}$
C) $\frac{11 - 10i}{17}$
D) $\frac{2 + 3i}{4i}$
Explanation
(b)
Conjugate of $\frac{2 - 3i}{4 - i}$ is $\frac{2 + 3i}{4 + i}$
$\therefore\ \ \ \ \ \frac{2 + 3i}{4 + i} = \frac{2 + 3i}{4 + i} \times \frac{4 - i}{4 - i}$
$= \frac{8 + 3 - 2i + 12i}{16 + 1}$
$= \frac{11 + 10i}{17}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.