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3 and 4 .Determinants and Matrices
normal
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
A
$1$
B
$0$
C
$-1$
D
$2$
Solution
we have to find constant term,
$\therefore $ put $\mathrm{x}=0$ in determinant.
$\left|\begin{array}{lll}{1} & {0} & {1} \\ {0} & {1} & {1} \\ {1} & {1} & {1}\end{array}\right|=-1$
Standard 12
Mathematics
