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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Determinants
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Q)

If $1+\sin x+\cos x\neq 0$ the value of $x$ for which $\begin{vmatrix}1&\sin x&\cos x\\\sin x&1&\cos x\\\cos x&\sin x&1\end{vmatrix}=0$ is

$\begin{array}{1 1}(A)\;n\pi+(-1)^n\large\frac{\pi}{2},\normalsize 2n\pi&(B)\;n\pi,2n\pi\pm \large\frac{\pi}{2}&\\(C)\;n\pi+(-1)^n\large\frac{\pi}{2},\normalsize 2n\pi\pm \large\frac{\pi}{2}&(D)\;\text{None of these}\end{array}$

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