If 0 < amp (z) < , then amp(z)-amp ( - z) = - Vidyadip

MCQ

If $0 < amp{\rm{ (z)}} < \pi {\rm{,}}$then $amp(z)-amp ( - z) = $

A
$0$
B
$2\,amp{\rm{ }}(z)$
✓
$\pi $
D
$ - \pi $

✓

Answer

Correct option: C.

$\pi $

c
(c) $amp(z) - amp( - z) = {\tan ^{ - 1}}\frac{y}{x} - \left( {{{\tan }^{ - 1}}\frac{y}{x} - \pi } \right) = \pi $

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 "MCQ" from 4.1 complex nubers→4.1 complex nubers — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

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:

$\mathop {\lim }\limits_{n \to \infty } {({3^n} + {4^n})^{\frac{1}{n}}} = $

In how many ways can $10$ balls be divided between two boys, one receiving two and the other eight balls

The $S.D$ of $15$ items is $6$ and if each item is decreased or increased by $1$, then standard deviation will be

$\frac{{{C_0}}}{1} + \frac{{{C_2}}}{3} + \frac{{{C_4}}}{5} + \frac{{{C_6}}}{7} + ....$=

The function $ \text{f}(\text{x}) = \sin \Big(\frac{\pi‎\text{x}}{2}\Big) +\cos \Big(\frac{\pi‎\text{x}}{2}\Big)$ is periodic with period:

A 5-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways in which this can be done is:

Let $a_1, a_2, a_3, \ldots$. be a $GP$ of increasing positive numbers. If the product of fourth and sixth terms is $9$ and the sum of fifth and seventh terms is $24 ,$ then $a_1 a_9+a_2 a_4 a_9+a_5+a_7$ is equal to $.........$.

If the probability of a horse $A$ winning a race is $1/4$ and the probability of a horse $B$ winning the same race is $1/5$, then the probability that either of them will win the race is

$\cos A + \cos (240^\circ + A) + \cos (240^\circ - A) = $