Download App

Model Paper 9 — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsModel Paper 91 Mark
MCQ
For any positive integer $n,(-\sqrt{-1})^{4 n+3}=$ ?
  • A
    1
  • B
    i
  • C
    -i
  • D
    -1
✓

Answer

(b) i
Explanation: $(-\sqrt{-1})^{4 n+3}=(- i )^{4 n +3}=\left\{(- i )^4\right)^{ n }(-1)^3=1 \times(- i ) \times(- i ) \times(- i )= i ^2 \times(- i )=-1 \times(- i )= i$

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 Model Paper 9→Model Paper 9 — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\mathop {\lim }\limits_{x \to \infty } {\left( {\frac{{{a^{1/x}} + b}}{c}} \right)^x} = d$ (non zero finite), then $(b + 1)log_a\,d$ is 
→
Choose the correct answer. The value of $\cos1^\circ\cos2^\circ\cos3^\circ...\cos179^\circ$ is:
→
$\mathop {\lim }\limits_{x \to 0} \frac{{\log (a + x) - \log a}}{x} + k\mathop {\lim }\limits_{x \to e} \frac{{\log x - 1}}{{x - e}} = 1,$ then
→
The sum of first $20$ terms of the sequence $0.7,0.77,0.777, . . . $ is 
→
If $A = \{x, y\}$ then the power set of $A$ is
→
Which of the following has only one subset?
→
If $\sin x + \sin y = 3(\cos y - \cos x),$ then the value of $\frac{{\sin 3x}}{{\sin 3y}}$ is
→
For all $n \ \in N, 2.4^{2n+1}+ 3^{3n+1}$ is divisible by
→
$\frac{\sec8\text{A}-1}{\sec4\text{A}-1}$ is equal to:
→
If $\tan A = - \frac{1}{2}$ and $\tan B = - \frac{1}{3},$ then $A + B = $
→