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
$arg\left( {\frac{{3 + i}}{{2 - i}} + \frac{{3 - i}}{{2 + i}}} \right)$ is equal to
  • A
    $\frac{\pi }{2}$
  • B
    $ - \frac{\pi }{2}$
  • ✓
    $0$
  • D
    $\frac{\pi }{4}$
✓

Answer

Correct option: C.
$0$
c
(c) $arg\left( {\frac{{3 + i}}{{2 - i}} + \frac{{3 - i}}{{2 + i}}} \right) = arg\left( {\frac{{6 + 5i + {i^2} + 6 - 5i + {i^2}}}{5}} \right)$
$ = arg\left( {\frac{{10}}{5}} \right) = 0$.

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

Evaluate $\lim _{x \rightarrow 0} \frac{\sin x^{\circ}}{x}$ :
→
The value of $3+\frac{1}{4+\frac{1}{3+\frac{1}{4+\frac{1}{3+\ldots \infty}}}}$ is equal to
→
If $\tan\text{x}=\text{t}$ then $\tan2\text{x}+\sec2\text{x}$ is equal to:
→
If ${x_n} = \cos \left( {\frac{\pi }{{{3^n}}}} \right) + i\,\sin \left( {\frac{\pi }{{{3^n}}}} \right)\,,$ then ${x_1}.{x_2}.{x_3}....{x_\infty }$ is equal to
→
The value of $\lambda$ for which the lines $3\text{x} + 4\text{y} = 5, 5\text{x} + 4\text{y} =4$ and $\lambda\text{x} + 4\text{y} = 6$ meet at a point is:
→
If the image of the point $(-4,5)$ in the line $x+2 y=2$ lies on the circle $(x+4)^2+(y-3)^2=r^2$, then $r$ is equal lo:
→
If the number of integral terms in the expansion of $\left(3^{\frac{1}{2}}+5^{\frac{1}{8}}\right)^{\text {n }}$ is exactly $33,$ then the least value of $n$ is
→
The equation to the hyperbola having its eccentricity $2$ and the distance between its foci is $8$
→
For all positive integral values of $n$, the value of $3.1.2 + 3.2.3 + 3.3.4 + ..... + 3.n.(n + 1)$ is
→
Let $f:(0,1) \rightarrow \mathbb{R}$ be the functions defined as $f(x)=\sqrt{n}$ if $x \in\left[\frac{1}{n+1}, \frac{1}{n}\right)$ where $n \in N$. Let $g:(0,1) \rightarrow \mathbb{R}$ be a function such that $\int_{x^2}^x \sqrt{\frac{1-t}{t}} d t$ $ < g(x) < 2 \sqrt{x}$ for all $x \in(0,1)$. Then $\lim _{x \rightarrow 0} f(x) g(x)$
→