If \( x^{2}-x+1=0, \sum_{n=1}^{5}\left(x^{n}+\frac{1}{x^{n}}\right)^{2} \) equal
(a) 8
(b) 10
(c...
If \( x^{2}-x+1=0, \sum_{n=1}^{5}\left(x^{n}+\frac{1}{x^{n}}\right)^{2} \) equal
(a) 8
(b) 10
(c) 12
(d) 14
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-07-03 | If \( z_{1}, z_{2}, z_{3} \) are three complex numbers and \( A=\left|\begin{array}{ccc}\arg z_{... |
| 2023-07-03 | Find the area bounded by the curves \( \operatorname{Arg} \mathrm{z}=\pi / 3 \), \( \operatornam... |
| 2023-07-03 | If \( x^{6}=(4-3 i)^{5} \), then the product of all of its roots \( \left(\right. \) where \( \l... |
| 2023-07-03 | A root of unity is a complex number that is a solution to the equation \( z^{n}=1 \) for some po... |
| 2023-07-03 | If \( |\mathrm{z}|=1 \) and \( \mathrm{z}-1=\mathrm{ik}(\mathrm{z}+1) \), then find range of \( ... |
| 2023-07-03 | Find the sum of the series. \( \cos \theta+\cos 2 \theta+\cos 3 \theta+\ldots+\cos n \theta \) f... |
| 2023-07-03 | The least positive integer \( n \) for which \( \left(\frac{1+i}{1-i}\right)^{n}=\frac{2}{\pi} \... |
| 2023-07-03 | Let \( z_{1} \neq z_{2} \) are two points in the argand plane. If \( a\left|z_{1}\right|=b\left|... |
| 2023-07-03 | If \( Z_{r} ; r=1,2,3, \ldots, 50 \) are the roots of the equation \( \sum_{r=0}^{50}(Z)^{r}=0 \... |
| 2023-07-03 | Let \( z_{1} \neq z_{2} \) are two points in the argand plane. If \( a\left|z_{1}\right|=b\left|... |
| 2023-07-03 | If \( x^{2}-x+1=0, \sum_{n=1}^{5}\left(x^{n}+\frac{1}{x^{n}}\right)^{2} \) equal
(a) 8
(b) 10
(c... |
| 2023-07-03 | If \( \alpha=\cos \left(\frac{8 \pi}{11}\right)+i \sin \left(\frac{8 \pi}{11}\right) \) then \( ... |
| 2023-07-03 | Let \( A\left(z_{1}\right), A_{2}\left(\bar{z}_{1}\right) \) are the adjacent vertices of a regu... |
| 2023-07-03 | If \( x_{n}=\cos \frac{\pi}{2^{n}}+i \sin \frac{\pi}{2^{n}} \), then \( x_{1} x_{2} x_{3} \ldots... |
| 2023-07-03 | The number of complex numbers satisfying \( |z+2|+|z-2| \) \( =8 \) and \( |z-1|+|z+1|=2 \) is
(... |
| 2023-07-03 | If one root of the equation \( a x^{2}+b x+c=0 \) is equal to \( n^{\text {th }} \) power of the... |
| 2023-07-03 | If \( (2+i)(2+2 i)(2+3 i) \ldots(2+n i)=x+i y \), then the value of 5.8.13... \( \left(4+n^{2}\r... |
| 2023-07-03 | The complex number \( \omega \) satisfying the equation \( \omega^{3}=8 \mathrm{i} \) and lying ... |
| 2023-07-03 | The equation \( x^{\frac{3}{4}\left(\log _{2} x\right)^{2}+\log _{2} x-\frac{5}{4}}=\sqrt{2} \) ... |
| 2023-07-03 | Which of the following is equal to \( \sqrt[3]{-1} \) ?
(a) \( \frac{\sqrt{3}+\sqrt{-1}}{2} \)
(... |
| 2023-07-03 | If \( |z-\mathrm{i} \operatorname{Re}(z)|=|z-\operatorname{lm}(z)| \), then
(a) \( \operatorname... |
0