JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumMatrices and Determinants245× since 2002If y(x)=∣sinxcosxsinx+cosx+1272827111∣, x∈R,y(x)=\begin{vmatrix} \sin x & \cos x & \sin x+\cos x+1 \\ 27 & 28 & 27 \\ 1 & 1 & 1 \end{vmatrix},\;x\in\mathbb{R},y(x)=sinx271cosx281sinx+cosx+1271,x∈R, then d2ydx2+y\frac{d^2y}{dx^2}+ydx2d2y+y is equal to:AOption A. -1BOption B. 28COption C. 27DOption D. 1CheckSkip · show solution