0000:00:00:00:00Start39Number 39ExplanationIf [tanx11tanx][cos2xsinxcosx]=[ab]12\begin{bmatrix} \tan x & 1 \\ 1 & \tan x \end{bmatrix} \begin{bmatrix} \cos^2 x \\ \sin x \cos x \end{bmatrix} = \begin{bmatrix} a \\ b \end{bmatrix} \frac{1}{2}[tanx11tanx][cos2xsinxcosx]=[ab]21 where b=2ab = 2ab=2a, then 0≤x≤π0 \leq x \leq \pi0≤x≤π that satisfies is.... π6\frac{\pi}{6}6π π12\frac{\pi}{12}12π 5π6\frac{5\pi}{6}65π 5π12\frac{5\pi}{12}125π ONLY (1),(2),(3)(1), (2), (3)(1),(2),(3) are correctONLY (1)(1)(1) and (3)(3)(3) are correctONLY (2)(2)(2) and (4)(4)(4) are correctONLY (4)(4)(4) is correctALL statements are correct
39Number 39ExplanationIf [tanx11tanx][cos2xsinxcosx]=[ab]12\begin{bmatrix} \tan x & 1 \\ 1 & \tan x \end{bmatrix} \begin{bmatrix} \cos^2 x \\ \sin x \cos x \end{bmatrix} = \begin{bmatrix} a \\ b \end{bmatrix} \frac{1}{2}[tanx11tanx][cos2xsinxcosx]=[ab]21 where b=2ab = 2ab=2a, then 0≤x≤π0 \leq x \leq \pi0≤x≤π that satisfies is.... π6\frac{\pi}{6}6π π12\frac{\pi}{12}12π 5π6\frac{5\pi}{6}65π 5π12\frac{5\pi}{12}125π ONLY (1),(2),(3)(1), (2), (3)(1),(2),(3) are correctONLY (1)(1)(1) and (3)(3)(3) are correctONLY (2)(2)(2) and (4)(4)(4) are correctONLY (4)(4)(4) is correctALL statements are correct