Let \(\alpha\) be a root of the equation \((a-c) x^2+(b-a) x+\) \((c-b)=0\) where \(a, b, c\) ar....

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=uBGcAMmICf4



Category:
Let's Play
Duration: 6:14
0 views
0


Let \(\alpha\) be a root of the equation \((a-c) x^2+(b-a) x+\) \((c-b)=0\) where \(a, b, c\) are distinct real numbers such that the matrix \(\left[\begin{array}{ccc}\alpha^2 & \alpha & 1 \\ 1 & 1 & 1 \\ a & b & c\end{array}\right]\) is singular. Then the value of \(\frac{(a-c)^2}{(b-a)(c-b)}+\frac{(b-a)^2}{(a-c)(c-b)}+\frac{(c-b)^2}{(a-c)(b-a)}\) is  📲PW App Link - https://bit.ly/YTAI_PWAP 🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-07-29Let \(A\) be a \(3 \times 3\) invertible matrix. If \(|\operatorname{adj}(24 A)|=\mid \operatorn....
2024-07-29Let \(J_{n, m}=\int_0^{1 / 2} \frac{x^n}{x^m-1} d x, \forall n>m\) and \(n, m \in N\). Consid....
2024-07-29Let \(A\) be a \(3 \times 3\) matrix with \(\operatorname{det}(A)=4\). Let \(R_i\) denote the \(....
2024-07-29The maximum value of \(f(x)=\left|\begin{array}{ccc}\sin ^2 x & 1+\cos ^2 x & \cos 2 x \....
2024-07-29Let \(A\) be a \(2 \times 2\) matrix with \(\operatorname{det}(A)=-1\) and \(\operatorname{det}(....
2024-07-29Let the determinant of a square matrix \(A\) of order \(m\) be \(m-n\), where \(m\) and \(n\) sa....
2024-07-29Let for \(A=\left[\begin{array}{lll}1 & 2 & 3 \\ \alpha & 3 & 1 \\ 1 & 1 &am....
2024-07-29Let \(A=\left(\left[\begin{array}{ccc}{[x+1]} & {[x+2]} & {[x+3]} \\ {[x]} & {[x+3]}....
2024-07-29If \(P\) is a \(3 \times 3\) real matrix such that \(P^T=a P+(a-1) I\), where \(a>1\), then....
2024-07-29Let \(A=\left[\begin{array}{cc}\frac{1}{\sqrt{10}} & \frac{3}{\sqrt{10}} \\ \frac{-3}{\sqrt{....
2024-07-29Let \(\alpha\) be a root of the equation \((a-c) x^2+(b-a) x+\) \((c-b)=0\) where \(a, b, c\) ar....
2024-07-29Let \(x, y, z>1\) and \(A=\left[\begin{array}{lll}1 & \log _x y & \log _x z \\\log _y....
2024-07-29Let \(A\) be a \(3 \times 3\) matrix such that \(|\operatorname{adj}(\operatorname{adj}(\operato....
2024-07-29If \(\Delta=\left|\begin{array}{ccc}x-2 & 2 x-3 & 3 x-4 \\ 2 x-3 & 3 x-4 & 4 x-5....
2024-07-29Let \(A\) be matrix of order \(3 \times 3\) and \(\operatorname{det}( A )=2\). Then \(\operatorn....
2024-07-29Let \(R=\left\{\left(\begin{array}{lll}a & 3 & b \\ c & 2 & d \\ 0 & 5 &....
2024-07-29The positive value of the determinant of the matrix \(A\), whose \(\operatorname{Adj}(\operatorn....
2024-07-29The value of the definite integral ∫-π4π4dx1+excosxsin4x+cos4x is equal to....
2024-07-29The value of \(\lim _{n \rightarrow \infty} \frac{1}{n} \sum_{j=1}^n \frac{(2 j-1)+8 n}{(2 j-1)+....
2024-07-29Let \(A=\left(\begin{array}{cc}4 & -2 \\ \alpha & \beta\end{array}\right)\) If \(A^2+\ga....
2024-07-29The value of the integral ∫1/22tan-1xxdx is equal to....