Question

The complex number $\frac{3x + 2iy}{5i - 2} = \frac{15}{8x + 3iy}$ lies in which quadrant of the complex plane.

• A. First
• B. Second
• C. Third
• D. Fourth

Answer 1

Answer: (B)

Second

Answer 2

$\left| \begin{matrix} 6i & - 3i & 1 \\ 4 & 3i & - 1 \\ 20 & 3 & i \end{matrix} \right|$ $\Rightarrow z = \frac { 1 + 2 i } { 1 - i } \times \frac { 1 + i } { 1 + i }$ $\left| \begin{matrix} 6i + 4 & 0 & 0 \\ 4 & 3i & - 1 \\ 20 & 3 & i \end{matrix} \right| = x + iy$

This complex number will lie in the II quadrant.