Question

The conjugate of the complex number $\frac{(2+3i)}{4i}$ is _____.

• A. $\frac{3+2i}{4}$
• B. $\frac{3-2i}{4}$
• C. $\frac{2i-3}{4}$
• D. $\frac{2i-3}{2}$

Answer 1

The correct option is A $\frac{3+2i}{4}$

Let z = $\frac{2+3i}{4i}$ $\times$ $\frac{4i}{4i}$
= $\frac{8i-12}{-16}$ = $\frac{-1}{4}$(2i - 3)
= $\frac{1}{4}$(3 - 2i)
Conjugate $\overline{z}$ = $\frac{1}{4}$(3 + 2i)