Match the statements/expressions in Column I with the open intervals in Column II. Column I (A) Interval contained in the domain of definition of non-zero solutions of the differential equation $( x - 3 ) ^ { 2 } y ^ { \prime } + y = 0$ (B) Interval containing the value of the integral $$\int _ { 1 } ^ { 5 } ( x - 1 ) ( x - 2 ) ( x - 3 ) ( x - 4 ) ( x - 5 ) d x$$ (C) Interval in which at least one of the points of local maximum of $\cos ^ { 2 } x + \sin x$ lies (D) Interval in which $\tan ^ { - 1 } ( \sin x + \cos x )$ is increasing Column II (p) $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$ (q) $\left( 0 , \frac { \pi } { 2 } \right)$ (r) $\left( \frac { \pi } { 8 } , \frac { 5 \pi } { 4 } \right)$ (s) $\left( 0 , \frac { \pi } { 8 } \right)$ (t) $( - \pi , \pi )$
A - (p, q, s); B - (p, t); C - (p, q, r, t); D - (s)
Match the statements/expressions in Column I with the open intervals in Column II.
\textbf{Column I}\\
(A) Interval contained in the domain of definition of non-zero solutions of the differential equation $( x - 3 ) ^ { 2 } y ^ { \prime } + y = 0$\\
(B) Interval containing the value of the integral
$$\int _ { 1 } ^ { 5 } ( x - 1 ) ( x - 2 ) ( x - 3 ) ( x - 4 ) ( x - 5 ) d x$$
(C) Interval in which at least one of the points of local maximum of $\cos ^ { 2 } x + \sin x$ lies\\
(D) Interval in which $\tan ^ { - 1 } ( \sin x + \cos x )$ is increasing
\textbf{Column II}\\
(p) $\left( - \frac { \pi } { 2 } , \frac { \pi } { 2 } \right)$\\
(q) $\left( 0 , \frac { \pi } { 2 } \right)$\\
(r) $\left( \frac { \pi } { 8 } , \frac { 5 \pi } { 4 } \right)$\\
(s) $\left( 0 , \frac { \pi } { 8 } \right)$\\
(t) $( - \pi , \pi )$