MCQ
${{\left( \frac{-1+i\sqrt{3}}{2} \right)}^{20}}+{{\left( \frac{-1-i\sqrt{3}}{2} \right)}^{20}}=$
- A$20\sqrt{3}i$
- B1
- C$\frac{1}{{{2}^{19}}}$
- ✓$-1$
✓
Answer
Correct option: D.
$-1$
D
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Choose the correct answer.
Equation of y-axis is considered as:
Equation of y-axis is considered as:
If e1 and e2 are respectively the eccentricities of the ellipse $\frac{\text{x}^2}{18}+\frac{\text{y}^2}{4}=1$ and the hyperbola $\frac{\text{x}^2}{9}-\frac{\text{y}^2}{4}=1,$ then the relation between e1 and e2 is
→- $3\text{e}_1^2 + \text{e}_2^2 = 2$
- $\text{e}_1^2 + 2\text{e}_2^2 = 3$
- $2\text{e}_1^2 +\text{e}_2^2 = 3$
- $\text{e}_1^2 + 3\text{e}_2^2 = 2$
The solution set of the inequation $|\text{x}+2|\leq5$ is:
→- (-7, 5)
- [-7, 3]
- [-5, 5]
- (-7, 3)
Domain of the function $ \text{ f}(\text{x}) =\sqrt{( 2 -\text{ 2x} - \text{x })} $ is:
→If $\tan\text{px}-\tan\text{qx}=0,$ then the values of $\theta$ form a series in:
→- AP
- GP
- HP
- None of these
If $5\sin\alpha=3\sin(\alpha+2\beta)\not=0,$ then $\tan(\alpha+\beta)$ is equal to:
→The number of terms with integral coefficients in the expansion of $\Big(17^{\frac{1}{3}}+35^{\frac{1}{2}}\text{x}\Big)^{600}$ is:
- 100
- 50
- 150
- 101
There are 4 points on the circumference of a circle, how many triangles can be formed by combining them :
The linear inequality representing the solution set given in Fig. is:
→- $\text{|x|}<5$
- $\text{|x|}>5$
- $\text{|x|}\geq5$
- $\text{|x|}\geq5$
The following in the form of $A+iB$ ${{(\cos 2\theta +i\sin 2\theta )}^{-5}}$ ${{(\cos 3\theta -i\sin 3\theta )}^{6}}$${{(\sin \theta -i\cos \theta )}^{3}}$ in the form of $A+iB$ is [MNR 1991]
→