Download App

Model Paper 8 — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSModel Paper 81 Mark
MCQ
Mark the correct answer for $3 i^{34}+5 i^{27}-2 i^{38}+5 i^{41}=$ ?
  • A
    1
  • B
    -1
  • C
    -4i
  • D
    10i
✓

Answer

(b) -1
Explanation: $3^{34}+5 i^{27}-2 i^{38}+5 i^{41}=3 \times\left(i^4\right)^8 \times i^2+5 \times\left(i^4\right)^6 \times i^3-2 \times\left(i^4\right)^9 \times i^2+5 \times\left(i^4\right)^{10} \times i$
$\begin{array}{l}=3 \times 1 \times(-1)+5 \times 1 \times(-i)-2 \times 1 \times(-1)+5 \times 1 \times i \\ =-3-5 i+2+5 i=-1\end{array}$

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 8→Model Paper 8 — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

 A sequence is called ___________________ if an+1 = an × r.
→
What is the value of ddx (sin⁡ x3 cos⁡ x2)?
→
The general value of x satisfying the equation $\sqrt{3}\sin\text{x}+\cos\text{x}=\sqrt{3}$ is given by:
  1. $\text{x}=\text{n}\pi+(-1)^\text{n}\frac{\pi}{4}+\frac{\pi}{3},\ \text{n}\in\text{Z}$
  2. $\text{x}=\text{n}\pi+(-1)^\text{n}\frac{\pi}{3}-\frac{\pi}{6},\text{n}\in\text{Z}$
  3. $\text{x}=\text{n}\pi\pm\frac{\pi}{6},\ \text{n}\in\text{Z}$
  4. $\text{x}=\text{n}\pi\pm\frac{\pi}{3},\ \text{n}\in\text{Z}$
→
The circle x2 + y2 - 3x - 4y + 2 = 0 cuts x-axis:
→
The number of solution in $\big[0,\ \frac{\pi}{2}\big]$ of the equation $3\text{x}\tan5\text{x}=\sin7\text{x}$ is:
  1. 5
  2. 7
  3. 6
  4. None of these
→
If x2 < 4 then the value of x is:
→
Solution of 2x – 1 = |x + 7| is:
→
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:
  1. 216
  2. 600
  3. 240
  4. 3125
→
Choose the correct answer.
The value of $\frac{1-\tan^215^\circ}{1+\tan^215^\circ}$ is:
→

lf the lines 2x - 3y = 5 and 3x - 4y = 7 are two diameters of a circle of radius 7 then the equation of the circle is:

→