Match the statements/expressions in Column I with the open intervals in Column II: Column I Column II (A) Interval contained in the domain of definition of non-zero solutions of the differential equation (x-3)² y' + y = 0 (P) ≤ft(π/4,π/2) (B) Interval containing the value of the integral ₁^{5} (x - 1) (x - 3) (x - 4) (x - 5) dx (Q) ≤ft(0,π/2) (C) Interval in which at least one of the points of local maximum of ² x + x lies (R) ≤ft(π/8,5π/4) (D) Interval in which ^{-1}( x + x) isincreasing (S) ≤ft(0,π/8) (T) (-π ,π ) [JEE Adv 2009 P1]

Question

Examsnet · Accepted Answer

Correct Answer is : (A)→(P), (Q), (S); (B)→(P), (T), (S); (C)→(P), (Q), (R), (T); (D)→(S)

Column I	Column II
(A) Interval contained in the domain of definition of non-zero solutions of the differential equation $(x-3)^2 y' + y = 0$	(P) $\left(\ast\frac{\pi}{4},\frac{\pi}{2}\right)$
(B) Interval containing the value of the integral $\int\limits_{1}^{5}$ (x - 1) (x - 3) (x - 4) (x - 5) dx	(Q) $\left(0,\frac{\pi}{2}\right)$
(C) Interval in which at least one of the points of local maximum of $\cos^2 x + \sin x$ lies	(R) $\left(\frac{\pi}{8},\frac{5\pi}{4}\right)$
(D) Interval in which $\tan^{-1}(\sin x + \cos x)$ isincreasing	(S) $\left(0,\frac{\pi}{8}\right)$
	(T) (-π ,π )

IIT JEE Advanced 2009 Paper 1