The determinant \( \left|\begin{array}{ccc}x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z\e....

Channel:
PW Solutions
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=P_-BPcgjIjY


Duration: 2:03
0 views
0

The determinant \( \left|\begin{array}{ccc}x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z\end{array}\right|=0 \) if:
\( \mathrm{P} \)
(A) \( \mathrm{x}, \mathrm{y}, \mathrm{z} \) are in A.P.
(B) \( \mathrm{x}, \mathrm{y}, \mathrm{z} \) are in G.P.
(C) \( \mathrm{x}, \mathrm{y}, \mathrm{z} \) are in H.P.
(D) \( x y, y z, z x \) are in A.P.


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



Other Videos By PW Solutions


2024-01-21Let \( D_{1}=\left|\begin{array}{ccc}a & b & a+b \\ c & d & c+d \\ a & b & a-b\end{array}\right|....
2024-01-21Let \( A \) be a \( 2 \times 2 \) matrix. Assertion (A): \( \operatorname{adj}(\operatorname{adj....
2024-01-21If \( \left|\begin{array}{ccc}x^{n} & x^{n+2} & x^{n+4} \\ y^{n} & y^{n+2} & y^{n+4} \\ z^{n} & ....
2024-01-21Assertion (A): If the matrix \( A=\left[\begin{array}{ccc}1 & 3 & \lambda+2 \\ 2 & 4 & 8 \\ 3 & ....
2024-01-21If the system of linear equations \[ \begin{array}{l} (\cos \theta) x+(\sin \theta) y+\cos \thet....
2024-01-21If \( \Delta=\left|\begin{array}{ccc}1 & 3 \cos \theta & 1 \\ \sin \theta & 1 & 3 \cos \theta \\....
2024-01-21If \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are such that \( \mathrm{A}+\mathrm{B}+\mat....
2024-01-21Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline \multirow....
2024-01-21Let \( m \) be a positive integer \( \& \) \[ D_{r}=\left|\begin{array}{ccc} 2 r-1 & { }^{m} C_{....
2024-01-21If the system of equations \[ \left.\begin{array}{l} x-\lambda y-z=0 \\ \lambda x-y-z=0 \\ x+y-z....
2024-01-21The determinant \( \left|\begin{array}{ccc}x p+y & x & y \\ y p+z & y & z \\ 0 & x p+y & y p+z\e....
2024-01-21Area of triangle whose vertices \( \left(a, a^{2}\right)\left(b, b^{2}\right)\left(c, c^{2}\righ....
2024-01-21The system of equations \[ \begin{array}{l} \mathrm{kx}+(\mathrm{k}+1) \mathrm{y}+(\mathrm{k}-1)....
2024-01-21Let \( \alpha, \beta \) be the roots of the equation \( \mathrm{ax}^{2}+\mathrm{bx}+\mathrm{c}=0....
2024-01-21If \( \left|a x^{2}+b x+c\right| \leq 1 \) for all \( x \) is \( [0,1] \) then....
2024-01-21The value of \[ \begin{array}{l} 6+\log _{3 / 2}\left(\frac{1}{3 \sqrt{2}} \sqrt{4-\frac{1}{3 \s....
2024-01-21If the system of equations \[ \begin{array}{l} x+2 y+2 z=1 \\ x-y+3 z=3 \\ x+11 y-z=b \end{array....
2024-01-21Let \( f(x)=a x^{2}+b x+c ; a, b, c \in R \) It is given \( |f(x)| \leq 1, \forall|x| \leq 1 \).....
2024-01-21Let \( f(x)=\left|\begin{array}{ccc}1+\sin ^{2} x & \cos ^{2} x & 4 \sin 2 x \\ \sin ^{2} x & 1+....
2024-01-21Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline (A) & \be....
2024-01-21Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline (A) & \( ....