If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \), then ...

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=1hPG-fzdMBw


Category:
Let's Play
Duration: 5:58
1 views
0

If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \), then the value of determinant \( \left|\begin{array}{lll}\alpha & \beta & \gamma \\ \beta & \gamma & \alpha \\ \gamma & \alpha & \beta\end{array}\right|= \)
(a) \( p \)
(b) \( q \)
(c) \( p^{2}-2 q \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-06-08For \( k \in \mathbb{R} \), let the solutions of the equation \[ \cos \left(\sin ^{-1}\left(x \c...
2023-06-08The number of pair solution \( (x, y) \) of the equation \( 1+x^{2}+ \) \( 2 x \sin \left(\cos ^...
2023-06-08Let \( X \) be a set with exactly 5 elements and \( Y \) be a set with exactly 7 elements. If \(...
2023-06-08If \( \Delta_{1}=\left|\begin{array}{lll}x & b & b \\ a & x & b \\ a & a & x\end{array}\right| \...
2023-06-08If \( y=\left|\begin{array}{ccc}\sin x & \cos x & \sin x \\ \cos x & -\sin x & \cos x \\ x & 1 &...
2023-06-08If \( D_{1}=\left|\begin{array}{ccc}y^{5} z^{6}\left(z^{3}-y^{3}\right) & x^{4} z^{6}\left(x^{3}...
2023-06-08If \( \Delta_{r}=\left|\begin{array}{ccc}r-1 & n & 6 \\ (r-1)^{2} & 2 n^{2} & 4 n-2 \\ (r-1)^{3}...
2023-06-08Suppose, \( n, m \) are natural number and \[ f(x)=\left|\begin{array}{ccc} 1 & (1+x)^{m} & (1+m...
2023-06-08Let \( \Delta=\left|\begin{array}{ccc}1 & x & x^{2} \\ x^{2} & 1 & x \\ x & x^{2} & 1\end{array}...
2023-06-08If \( D \) is a determinant of order three and \( \Delta \) is a determinant formed by the cofac...
2023-06-08If \( \alpha, \beta \) and \( \gamma \) are the roots of the equation \( x^{3}+p x+q=0 \), then ...
2023-06-08If \( \left|\begin{array}{ll}n_{1} & n_{2} \\ n_{2} & n_{1}\end{array}\right|=2022\left(n_{1}, n...
2023-06-08If \( [x] \) stands for the greatest integer less than or equal to \( x \), then the value of \(...
2023-06-08Let \( \Delta=\left|\begin{array}{ccc}a & a+d & a+2 d \\ a+d & a+2 d & a \\ a+2 d & a & a+d\end{...
2023-06-08Let \( A \) be a \( 2 \times 2 \) real matrix with entries from \( \{0,1\} \) and \( |A| \neq 0 ...
2023-06-08\[ \left|\begin{array}{ccc} 1 & \omega^{3} & \omega^{5} \\ \omega^{3} & 1 & \omega^{4} \\ \omega...
2023-06-08If \( \left|\begin{array}{ccc}0 & a b^{2} & a c^{2} \\ a^{2} b & 0 & b c^{2} \\ a^{2} c & c b^{2...
2023-06-08Let \( A=\left[\begin{array}{cc}1 & -1 \\ 2 & \alpha\end{array}\right] \) and \( B=\left[\begin{...
2023-06-08If \( f(x+a)^{n}=\sum_{k=0}\left(C_{r}^{n}\right) x^{k} a^{n-k} \) Let \( a_{k}=k\left({ }^{10} ...
2023-06-08Let the matrix \( A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right...
2023-06-08If the matrix \( M_{r} \) is given by \( M_{r}=\left[\begin{array}{cc}r & r-1 \\ r-1 & r\end{arr...