If \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^{2} & a x & a\end{array}\ri....

Channel:
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=xj5_Qgpqf1w



Duration: 3:22
0 views
0


If \( f(x)=\left|\begin{array}{ccc}a & -1 & 0 \\ a x & a & -1 \\ a x^{2} & a x & a\end{array}\right| \), then \( f(2 x)-f(x) \) is
\( \mathrm{P} \)
divisible by
(1) \( x \)
(2) \( a \)
(3) \( 2 a+3 x \)
(4) \( x^{2} \)


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




Other Videos By PW Solutions


2024-01-22If \( \quad A=\left[\begin{array}{ll}1 & -1 \\ 2 & -1\end{array}\right], \quad B=\left[\begin{ar....
2024-01-22If \( A=\left[\begin{array}{ll}\alpha & 0 \\ 1 & 1\end{array}\right] \) and \( B=\left[\begin{ar....
2024-01-22If \( A \) is a singular matrix, then \( \operatorname{adj} A \) is....
2024-01-22If \( \mathrm{A} \) is an \( 3 \times 3 \) non-singular matrix such that \( A A^{T}=A^{T} A \) a....
2024-01-22Consider determinant is \( \Delta=\mid \) aij \( \mid \) of order 3. If \( \Delta=2 \), then mat....
2024-01-22If \( A=[a i j] \) is a square matrix of even order that aij \( =i^{2}-j^{2} \), then W.....
2024-01-22The sum of values of ' \( p \) ' for which the equations \( x+y+z=1, x+2 y+4 z=p \), and \( x+4 ....
2024-01-22If \( \left|\begin{array}{ccc}\sin x & \sin y & \sin z \\ \cos x & \cos y & \cos z \\ \cos ^{3} ....
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....