The value of the determinant$\left| {\,\begin{array}{*{20}{c}}{ - 1}&1&1\\1&{ - 1}&1\\1&1&{ - 1}\end{array}\,} \right|$is equal to
The value of the determinant$\left| {\,\begin{array}{*{20}{c}}{ - 1}&1&1\\1&{ - 1}&1\\1&1&{ - 1}\end{array}\,} \right|$is equal to
- A
$-4$
- B
$0$
- C
$1$
- D
$4$
Similar Questions
$\left| {\,\begin{array}{*{20}{c}}{1/a}&1&{bc}\\{1/b}&1&{ca}\\{1/c}&1&{ab}\end{array}\,} \right| = $
$\left| {\,\begin{array}{*{20}{c}}{1/a}&1&{bc}\\{1/b}&1&{ca}\\{1/c}&1&{ab}\end{array}\,} \right| = $
Which of the following is correct?
Which of the following is correct?
Evaluate $\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$
Evaluate $\left|\begin{array}{cc}x & x+1 \\ x-1 & x\end{array}\right|$
The number of distinct real roots of $\left|\begin{array}{lll}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0$ in the interval $-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}$ is
The number of distinct real roots of $\left|\begin{array}{lll}\sin x & \cos x & \cos x \\ \cos x & \sin x & \cos x \\ \cos x & \cos x & \sin x\end{array}\right|=0$ in the interval $-\frac{\pi}{4} \leq x \leq \frac{\pi}{4}$ is
- [JEE MAIN 2021]
If $\left| {\begin{array}{*{20}{c}}
{\cos 2x}&{{{\sin }^2}x}&{\cos 4x} \\
{{{\sin }^2}x}&{\cos 2x}&{{{\cos }^2}x} \\
{\cos 4x}&{{{\cos }^2}x}&{\cos 2x}
\end{array}} \right| = {a_0} + {a_1}\sin x + {a_2}{\sin ^2}x + .....$ then $a_0$ is equal to
If $\left| {\begin{array}{*{20}{c}}
{\cos 2x}&{{{\sin }^2}x}&{\cos 4x} \\
{{{\sin }^2}x}&{\cos 2x}&{{{\cos }^2}x} \\
{\cos 4x}&{{{\cos }^2}x}&{\cos 2x}
\end{array}} \right| = {a_0} + {a_1}\sin x + {a_2}{\sin ^2}x + .....$ then $a_0$ is equal to