Mathematics

Problem

Match the statements of Column I with values of Column II.

Column I	Column II
(A) $\sin x - 1 < \sqrt{5}, x \in [0, \pi]$ , the domain is	(p) $\left[0, \frac{\pi}{4}\right] \cup \left[\frac{3\pi}{4}, \pi\right]$
(B) $4 \sin^2 x - 8 \sin x + 3 \le 0, [0, 2\pi]$ , the domain is	(q) $\left[\frac{3\pi}{2}, 2\pi\right] \cup \{0\}$
(C) $\tan x \le 1$ and $x \in [0, \pi]$ , the domain is	(r) $\left[0, \frac{3\pi}{10}\right]$
(D) $\cos x - \sin x \ge 1$ and $[0, 2\pi]$ , the domain is	(s) $\left[\frac{\pi}{6}, \frac{5\pi}{6}\right]$