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3 and 4 .Determinants and Matrices
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The value of $\theta$ lying between $\theta = 0$ and $\theta = \pi /2$ and satisfying the equation : $\left| {\,\begin{array}{*{20}{c}} {1\,\, + \,\,{{\sin }^2}\,\theta }&{{{\cos }^2}\,\theta }&{4\,\sin \,4\,\theta }\\ {{{\sin }^2}\,\theta }&{1\,\, + \,\,{{\cos }^2}\,\theta }&{4\,\sin \,4\,\theta }\\ {{{\sin }^2}\,\theta }&{{{\cos }^2}\,\theta }&{1\,\, + \,\,4\,\sin \,4\,\theta } \end{array}\,} \right|$ $= 0$ are :
A
$\frac{{7\,\pi }}{{24}}$
B
$\frac{{5\,\pi }}{{24}}$
C
$\frac{{11\,\pi }}{{24}}$
D
both $(A)$ and $(C)$
Solution
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Standard 12
Mathematics
