The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \....

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=QZZb7hY4bMw


Duration: 3:08
0 views
0

The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \\ 1 & c & c^{2}-a b\end{array}\right| \) is:
P
(1) 0
(2) 1
(3) -1
(4) \( a+b+c \)


šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
šŸŒPW Website - https://www.pw.live



Other Videos By PW Solutions


2024-01-22Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a....
2024-01-22If \( A=\left[\begin{array}{cc}0 & 2 \\ 3 & -4\end{array}\right] \) and \( k A=\left[\begin{arra....
2024-01-22If \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^{2} & a x & a\end{array}\ri....
2024-01-22Let \( \mathrm{a}+\mathrm{b}+\mathrm{c}=\mathrm{s} \) and \( \left|\begin{array}{ccc}s+c & a & b....
2024-01-22Match the statement in Column-I with the values in Column-II \begin{tabular}{|c|c|c|c|} \hline \....
2024-01-22Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a....
2024-01-22The values of \( k \in R \) for which the system of equations \( x+k y+3 z=0, k x+2 y+2 z=0,2 x+....
2024-01-22Value of \( \left|\begin{array}{ccc}x+y & z & z \\ x & y+z & x \\ y & y & z+x\end{array}\right| ....
2024-01-22Given that \( x=-9 \) is a root of \( \left|\begin{array}{lll}x & 3 & 7 \\ 2 & x & 2 \\ 7 & 6 & ....
2024-01-22If \( a+b+c=0 \), then one root of \( \left|\begin{array}{ccc}a-x & c & b \\ c & b-x & a \\ b & ....
2024-01-22The value of the determinant \( \left|\begin{array}{lll}1 & a & a^{2}-b c \\ 1 & b & b^{2}-a c \....
2024-01-22If the system of equations \( x+a y=0, a z+y=0 \) and \( a x+z=0 \) has infinite solutions then ....
2024-01-22Match the column \begin{tabular}{|l|l|c|c|} \hline \multicolumn{2}{|c|}{ Column-I } & \multicolu....
2024-01-22The value of the determinant \( \Delta=\left|\begin{array}{lll}x+2 & x+3 & x+5 \\ x+4 & x+6 & x+....
2024-01-22If \( \left|\begin{array}{ccc}6 i & -3 i & 1 \\ 4 & 3 i & -1 \\ 20 & 3 & i\end{array}\right|=x+i....
2024-01-22If \( \alpha, \beta \) and \( \gamma \) are the roots of \( x^{3}+a x^{2}+b=0 \), then the value....
2024-01-22If \( \alpha \) is the cube root of -2 , then the value of \( \left|\begin{array}{ccc}1 & 2 \alp....
2024-01-22Let \( X, Y \) and \( Z \) be the three sets of complex numbers defined as follows: \[ \begin{ar....
2024-01-22The number of points \( z \) in the complex plane satisfying both the equations \( |z-4-8 i|=\sq....
2024-01-22If the area of a triangle with vertices \( Z_{1}, Z_{2} \) and \( Z_{3} \) is the absolute value....
2024-01-22Let \( P=\left[a_{i j}\right] \) be a \( 3 \times 3 \) matrix and let \( Q=\left[b_{i j}\right] ....