The number (1- i )^3 1- i ^3 is equal to - Vidyadip

MCQ

The number $\frac{(1- i )^3}{1- i ^3}$ is equal to

A
i
B
$- i$
C
-1
✓
-2

✓

Answer

Correct option: D.

-2

(D)
$\frac{(1-i)^3}{1-i^3}=\frac{(1-i)(1-i)^2}{(1-i)\left(1+i+i^2\right)}=-2$

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 Complex Numbers→Complex Numbers — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Let the sequence $< b_n>$ of real numbers satisfy the recurrence relation: $b_{n+1}=\frac{1}{3}\left(2 b_n+\frac{125}{b_n{ }^2}\right)$, $b_n \neq 0$, then $\lim _{n \rightarrow \infty} b_n=$

In a set of 30 shirts, 17 are white and the rest are black. 4 white and 5 black shirts are tagged as ‘PARTY WEAR’. If a shirt is chosen at random from this set, the possibility of choosing a black shirt or a ‘PARTY WEAR’ shirt is

The equation of the tangent to the ellipse $2 x^2+3 y^2=30$ at the point $(-3,2)$ is

$\left(1+\cos \frac{\pi}{8}\right)\left(1+\cos \frac{3 \pi}{8}\right)\left(1+\cos \frac{5 \pi}{8}\right)\left(1+\cos \frac{7 \pi}{8}\right)=$

The value of $\left[\frac{1-\cos \frac{\pi}{10}+i \sin \frac{\pi}{10}}{1-\cos \frac{\pi}{10}-i \sin \frac{\pi}{10}}\right]^{10}=$

If (A) and (B) are two events and $P(A)=\frac{3}{8}$, $P ( B )=\frac{1}{2}, P ( A \cap B )=\frac{1}{4}$, then $P \left( A ^{\prime} \cup B ^{\prime}\right)=$

The value of $\lim _{x \rightarrow e} \frac{\log x-1}{x-e}$ is

The modulus and argument of $\sqrt{3}+\sqrt{2} i$ are

$\lim _{x \rightarrow \infty}\left(\frac{2 x^2+3 x+4}{x^2-3 x+5}\right)^{\frac{3|x|+1}{2|x|-1}}=$

The parametric representation of the circle $(x-3)^2+(y+4)^2=25$ is