MCQ
The argument of the complex number $ - 1 + i\sqrt 3 $ is ............. $^\circ$
  • A
    $-60$
  • B
    $60$
  • $120$
  • D
    $-120$

Answer

Correct option: C.
$120$
c
(c)$arg( - 1 + i\sqrt 3 ) = {\tan ^{ - 1}}\left( {\frac{{\sqrt 3 }}{{ - 1}}} \right) = {120^o}$
because it lies in second quadrant.

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

Similar questions

The length of the shortest path that begins at the point $(2,5),$ touches the $x-$ axis and then ends at a point on the circle

$x^2 + y^2 + 12x -20 y + 120 = 0$

If $\alpha,-\frac{\pi}{2}<\alpha<\frac{\pi}{2}$ is the solution of $4 \cos \theta+5 \sin \theta=1$, then the value of $\tan \alpha$ is
The mean of $20$ observations is $15$ On checking it was found that the two observations were wrongly copied as $3$ and $6.$ The correct values are $8$ and $4$ , then correct mean will be given by:
If the sets $A$ and $B$ are defined as $A = \{ (x,\,y):y = {1 \over x},\,0 \ne x \in R\} $ $B = \{ (x,y):y =  - x,x \in R\} $, then
The least value of natural number $n$ satisfying $C(n,\,5) + C(n,\,6)\,\, > C(n + 1,\,5)$ is
If $ \mathop {\lim }\limits_{\text{x} \to 0} {\left( {\cos \text{x} + \text{a}\sin \text{bx}} \right)^{\frac{1}{\text{x}}}} = {\text{e}^2}$ then the possible values of $a\ \&\ \text{amp};$ bare$:′a′\ \&\ ′b′$ are:
For any two events A and B, which of the following is true?
If $n$ is even positive integer, then the condition that the greatest term in the expansion of ${(1 + x)^n}$ may have the greatest coefficient also, is
Let $A=\{1,2,3, \ldots .7\}$ and let $P(1)$ denote the power set of $A$. If the number of functions $\mathrm{f}: \mathrm{A} \rightarrow \mathrm{P}(\mathrm{A})$ such that $a \in \mathrm{f}(\mathrm{a}), \forall \mathrm{a} \in \mathrm{A}$ is $\mathrm{m}^{\mathrm{n}}, \mathrm{m}$ and $\mathrm{n} \in \mathrm{N}$ and $\mathrm{m}$ is least, then $\mathrm{m}+\mathrm{n}$ is equal to__________.
Two points $A$ and $B$ have coordinates $(1, 0)$ and $(-1, 0)$ respectively and $Q$ is a point which satisfies the relation $AQ - BQ = $ $ \pm 1.$The locus of $Q$ is