If \( \left|\begin{array}{lll}(\beta+\gamma-\alpha-\delta)^{4} & (\beta+\gamma-\alpha-\delta)^{2...
If \( \left|\begin{array}{lll}(\beta+\gamma-\alpha-\delta)^{4} & (\beta+\gamma-\alpha-\delta)^{2} & 1 \\ (\gamma+\alpha-\beta-\delta)^{4} & (\gamma+\alpha-\beta-\delta)^{2} & 1 \\ (\alpha+\beta-\gamma-\delta)^{4} & (\alpha+\beta-\gamma-\delta)^{2} & 1\end{array}\right| \) \( =-k(\alpha-\beta)(\alpha-\gamma)(\alpha-\delta)(\beta-\gamma)(\beta-\delta)(\gamma-\delta) \). Then the value of \( (k)^{1 / 2} \) is
(a) 2
(b) 4
(c) 6
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2023-06-08 | Consider a system of linear equations \( 3 x+y-z=0, x-\frac{p y}{4} \) \( +z=2 \) and \( 2 x-y+2... |
2023-06-08 | If \( f(x)=\left|\begin{array}{ccc}x^{2}-4 x+6 & 2 x^{2}+4 x+10 & 3 x^{2}-2 x+16 \\ x-2 & 2 x+2 ... |
2023-06-08 | If system of equations
\[
\begin{array}{l}
(\tan \alpha) x+(\cot \alpha) y+(8 \cos 2 \alpha) z=0... |
2023-06-08 | If \( \left|\begin{array}{ccc}1+a_{1}+b_{1} & a_{1}+b_{2} & a_{1}+b_{3} \\ a_{2}+b_{1} & 1+a_{2}... |
2023-06-08 | Let \( \lambda \) and \( \alpha \) be real. Then the number of integral values \( \lambda \) for... |
2023-06-08 | If \( c1 \) and the system of equations \( x+y-1=0,2 x-y \) \( -c=0 \) and \( -b x+3 b y-c=0 \) ... |
2023-06-08 | If \( \Delta(x)=\left|\begin{array}{ccc}e^{x} & \sin 2 x & \tan x^{2} \\ \ln (1+x) & \cos x & \s... |
2023-06-08 | The set of equations
\[
\begin{array}{l}
\lambda x-y+(\cos \theta) z=0 \\
3 x+y+2 z=0 \\
(\cos \... |
2023-06-08 | \( \Delta=\left|\begin{array}{ll}a_{1} & a_{2} \\ a_{3} & a_{4}\end{array}\right| \) and \( a_{i... |
2023-06-08 | In triangle \( A B C \), if \( \left|\begin{array}{ccc}1 & 1 & 1 \\ \cot \frac{A}{2} & \cot \fra... |
2023-06-08 | If \( \left|\begin{array}{lll}(\beta+\gamma-\alpha-\delta)^{4} & (\beta+\gamma-\alpha-\delta)^{2... |
2023-06-08 | \( \mathrm{P}(x, y, z) \) satisfies the equations \( x+\left(\log _{a} b\right) y+\left(\log _{\... |
2023-06-08 | If \( \alpha, \beta, \gamma \) are the angles of a triangle and the system of equations
\[
\begi... |
2023-06-08 | If \( a_{1}, a_{2}, a_{3}, 5,4, a_{6}, a_{7}, a_{8}, a_{9} \) are in H.P. and \( \Delta=\left|\b... |
2023-06-08 | \( \alpha, \beta \) are are the, maximum and minimum values of \( f(x)=\left|\begin{array}{ccc}1... |
2023-06-08 | If \( p, q, r, s \) are in A.P. and
\( f(x)=\left|\begin{array}{llc}p+\sin x & q+\sin x & p-r+\s... |
2023-06-08 | Suppose \( a_{1}, a_{2}, \ldots \) real numbers, with \( a_{1} \neq 0 \). If \( a_{1}, a_{2}, a_... |
2023-06-08 | If \( f(\theta)=\left|\begin{array}{lll}\sin \theta & \cos \theta & \sin \theta \\ \cos \theta &... |
2023-06-08 | If the value of the determinant
\[
\left|\begin{array}{ccc}
\sqrt{(13)}+\sqrt{3} & 2 \sqrt{5} & ... |
2023-06-08 | Let \( a=\operatorname{Lim}_{x \rightarrow 1} \frac{x}{\ln x}-\frac{1}{x \ln x} ; b=\operatornam... |
2023-06-08 | The value of the determinant \( \left|\begin{array}{ccc}-\left(2^{5}+1\right)^{2} & 2^{10}-1 & \... |