If $u+iv = \frac{3i}{x+iy+2}$,then $y=$

  • A
    $\frac{9u}{u^2+v^2}$
  • B
    $\frac{3u}{u^2+v^2}$
  • C
    $\frac{6u}{u^2+v^2}$
  • D
    $\frac{12u}{u^2+v^2}$

Explore More

Similar Questions

If $(2x - y + 1) + i(x - 2y - 1) = 2 - 3i$,then the multiplicative inverse of $(x - iy)$ is

If $\frac{(1+i) x-i}{2+i}+\frac{(1+2 i) y+i}{2-i}=1$,then $(x, y)$ is equal to

If $\left(\frac{1-i}{1+i}\right)^{100}=a+ib$,where $a, b \in \mathbb{R}$ and $i=\sqrt{-1}$,then $(a, b)$ is equal to

Let $z \in \mathbb{C}$ with $Im(z) = 10$ and it satisfies $\frac{2z - n}{2z + n} = 2i - 1$ for some natural number $n$. Then

By simplifying $i^{18}-3i^7+i^2(1+i^4)(i)^{22}$,we get

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo