CBSE

MATHEMATICS · Multi correct · CBSE · Mathematics · Determinants · Determinants

Problem

Let

f(x)=\begin{vmatrix}2\cos x&1&0\\1&2\cos x&1\\0&1&2\cos x\end{vmatrix}

. Then (1)

f\left(\frac{\pi}{3}\right)=-1

(2)

f\left(\frac{\pi}{3}\right)=\sqrt3

(3)

\int_0^\pi f(x)\,dx=0

(4)

\int_{-\pi}^{\pi}f(x)\,dx=0