If \( \alpha \) is an imaginary seventh root of unity, then the equation whose roots are \( \alp....

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=URF8Cy5HgvI



Category:
Let's Play
Duration: 3:41
0 views
0


Question If \( \alpha \) is an imaginary seventh root of unity, then the equation whose roots are \( \alpha+\alpha^{2}+\alpha^{4} \) and \( \alpha^{3}+\alpha^{5}+\alpha^{6} \) is:
(A) \( x^{2}-x-2=0 \)
(B) \( x^{2}+x+2=0 \)
(C) \( x^{2}+x-2=0 \)
(D) None of thesešŸ“²PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-29The value of \( \lim _{x \rightarrow 0} \frac{1-\cos (1-\cos x)}{x^{4}} \) is....
2024-01-29\( \lim _{x \rightarrow 0} \frac{\log (1+2 x)}{x}+\lim _{x \rightarrow 2} \frac{x^{4}-2^{4}}{x-2....
2024-01-29Let \( \lim _{x \rightarrow 0} \frac{\sin 2 x}{\tan \left(\frac{x}{2}\right)}=L_{1} \) and \( \l....
2024-01-29If \( f(a)=2, f^{\prime}(a) 1, g(a)=-1 ; g^{\prime}(a)=2 \), then \( \lim _{x \rightarrow a} \fr....
2024-01-29A light ray coming along the line \( 3 x+4 y=5 \) gets reflected from the line \( a x+b y=1....
2024-01-29If \( \lim _{x \rightarrow 1} \frac{x^{4}-1}{x-1}=\lim _{x \rightarrow k} \frac{x^{3}-k^{3}}{x^{....
2024-01-29Find the general solution of the equation \( \sin ^{4} x+\cos ^{4} x=\sin x \cos x \)....
2024-01-29If \( \lim _{x \rightarrow \infty}\left(1+\frac{a}{x}+\frac{b}{x^{2}}\right)^{2 x}=e^{2} \), the....
2024-01-29For each \( x \in R \), let \( [x] \) be the greatest integer less  than or equal to \( x \....
2024-01-29\[\lim _{\theta \rightarrow 0} \frac{e^{\theta}+e^{-\theta}+2 \cos \theta-4}{\theta^{4}}\left(\f....
2024-01-29If \( \alpha \) is an imaginary seventh root of unity, then the equation whose roots are \( \alp....
2024-01-29If the sum of \( n \) terms of an \( \mathrm{A.P.}\) is \( 2 n+3 n^{2} \). Then its \( r^{\text ....
2024-01-29One root of the equation \( \cos x-x+\frac{1}{2}=0 \) lies in the interval....
2024-01-29\( \cot \theta+\tan \theta=2 \operatorname{cosec} \theta \), then find principle value of \( \th....
2024-01-29If \( \left(\frac{1+i}{1-i}\right)^{m / 2}=\left(\frac{1+i}{1-i}\right)^{n / 3}=1(m, n \in N) \)....
2024-01-29If roots of the equation \( x^{2}-10 a x-11 b=0 \) are \( c \) and \( d \) and those of \( ....
2024-01-29Seven people leave their bags outside the temple and while returning after worshiping the deity,....
2024-01-29If \( \cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13} \) and  \( 0<\al....
2024-01-29The coefficients of three consecutive terms of \( (1+x)^{n+5} \) are in the ratio \( 5: 10: 14 \....
2024-01-29Find the principal value of the trigonometric function of \( \cos x=\frac{\sqrt{3}}{2} \).....
2024-01-29If \( \tan \alpha=\sqrt{a} \), where \( a \) is a rational number which is not a perfect sq....