Download App

STD 11 - 4.1 complex nubers — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 4.1 complex nubers1 Mark
MCQ
The imaginary part of $\frac{{{{(1 + i)}^2}}}{{(2 - i)}}$is
  • A
    $\frac{1}{5}$
  • B
    $\frac{3}{5}$
  • ✓
    $\frac{4}{5}$
  • D
    None of these
✓

Answer

Correct option: C.
$\frac{4}{5}$
c
(c) We have $\frac{{{{(1 + i)}^2}}}{{2 - i}} = \frac{{(2i)(2 + i)}}{{(2 - i)(2 + i)}}$$ = - \frac{2}{5} + i\frac{4}{5}$.
Thus $Im\ (z) = \frac{4}{5}$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 4.1 complex nubers→STD 11 - 4.1 complex nubers — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

$\omega $ is an imaginary cube root of unity. If ${(1 + {\omega ^2})^m} = $ ${(1 + {\omega ^4})^m},$ then least positive integral value of $m$ is
→
Choose the correct answer: Which of the following is a statement.
→
The minimum value of $\cos \,2\theta \, + \,\cos \,\theta $ for real values $\theta $ is
→
If $1,\omega ,{{\omega }^{2}}$ are the cube roots of unity, then$\Delta =\left| \,\begin{matrix}    1\,\,\,\, & {{\omega }^{n}} & {{\omega }^{2n}}  \\    {{\omega }^{n}}\,\, & \,\,\,{{\omega }^{2n}}\,\, & 1  \\    {{\omega }^{2n}}\, & 1\,\, & {{\omega }^{n}}  \\ \end{matrix} \right|$= [AIEEE 2003]
→
If $\tan\theta=\frac{1}{2}$ and $\tan\phi=\frac{1}{3},$ then the value of $\theta+\phi$ is:
→
Let $z_1$ and $_2$ be two com plex num bers with α and $\beta$ as their principal ar gu ments such that $\alpha+\beta>\pi,$ then principal arg $(z_1z_2)$ is given by:
→
Evaluate : $ \displaystyle \underset{\text{x}\rightarrow 2}{\lim} \text{x}^2-5\text{x}+6$
→
The domain of the function $^{7-\text{x}}\text{p}_{\text{x}-3}$ is:
→
The equations of the lines which cuts off an intercept $-1$ from $y$-axis are equally inclined to the axes are
→
The range of the function $\text{f(x)}=\frac{\text{x}^2-\text{x}}{\text{x}^2+2\text{x}}$ is:
→