MCQ
If $\left(\frac{1+i}{1-i}\right)^n=1$ then the minimum value of integer $n$ is:
  • A
    2
  • 4
  • C
    6
  • D
    8

Answer

Correct option: B.
4
(B)

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 connective in the statement $2 + 7 > 9$ or $2 + 7 < 9$ is.
The solution of the inequality $\frac{3(\text{x}-2)}{5}\geq\frac{5(2-\text{x})}{3}$ is:
If $f(x) = Sgn(Sgn(Sgn(x)))$, then $\mathop {\lim }\limits_{x \to 0} f(x)$ is equal to :-
One side of a rectangle lies along the line $4x + 7y + 5 = 0.$ Two of its vertices are $(-3, 1)$ and $(1, 1)$. Then the equations of other three sides are
Equation of two diameters of a circle are $2 x-3 y=5$ and $3 x-4 y=7$. The line joining the points $\left(-\frac{22}{7},-4\right)$ and $\left(-\frac{1}{7}, 3\right)$ intersects the circle at only one point $P(\alpha, \beta)$. Then $17 \beta-\alpha$ is equal to
Let $\Gamma$ be a circle with diameter $A B$ and centre $O$. Let $l$ be the tangent to $\Gamma$ at $B$. For each point $M$ on $\Gamma$ different from $A$, consider the tangent $t$ at $M$ and let interest $l$ at $P$. Draw a line parallel to $A B$ through $P$ intersecting $M M$ at $Q$. The locus of $Q$ as $M$ varies over $\Gamma$ is
Consider the parabola with vertex $\left(\frac{1}{2}, \frac{3}{4}\right)$ and the directrix $\mathrm{y}=\frac{1}{2}$. Let $\mathrm{P}$ be the point where the parabola meets the line $\mathrm{x}=-\frac{1}{2}$. If the normal to the parabola at $\mathrm{P}$ intersects the parabola again at the point $\mathrm{Q}$, then $(\mathrm{PQ})^{2}$ is equal to :
$\cos \frac{\pi }{5}\cos \frac{{2\pi }}{5}\cos \frac{{4\pi }}{5}\cos \frac{{8\pi }}{5} = $
If a circle $C,$  whose radius is $3,$ touches externally the circle, $x^2 + y^2 + 2x - 4y - 4 = 0$ at the point $(2, 2),$  then the length of the intercept cut by circle $c,$  on the $x-$ axis is equal to
In the expansion of $\Big(7^{\frac{1}{3}}+11^{\frac{1}{9}}\Big)^{5832},$ the number of terms free from radicals is: