Class 11Mathematics4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers
EasyIf ${z_1} = 1 - i$ and ${z_2} = - 2 + 4i$,then $\text{Im} \left( \frac{z_1 z_2}{z_1} \right) = $
- A$1$
- B$2$
- C$3$
- D$4$
Explore More
Similar Questions
$\frac{(1+i)^{2011}}{(1-i)^{2009}}$ is equal to
If $\left(\frac{1-i}{1+i}\right)^{96}=a+ib$,then $(a, b)$ is
MediumKCET 2018
View SolutionLet $x$ and $y$ be real numbers such that $50 \left(\frac{2x}{1 + 3i} - \frac{y}{1 - 2i}\right) = 31 + 17i$, where $i = \sqrt{-1}$. Then the value of $10(x - 3y)$ is:
DifficultJEE MAIN 2026
View SolutionExpress the following in the form of $a+bi$:
$(-5i) \left(\frac{1}{8}i\right)$
$(-5i) \left(\frac{1}{8}i\right)$
Easy
View SolutionLet $z \in \mathbb{C}$ with $\operatorname{Im}(z)=10$ and it satisfies $\frac{2z-n}{2z+n}=2i-1$, where $i=\sqrt{-1}$, for some natural number $n$. Then:
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo