Differential Equations PYQ — JEE Advanced 2009 · Shift 2 · Q22 with Solution

Match the statements/expressions in Column I with the values given in Column II:

	Column I		Column II
(A)	The number of solutions of the equation $x{e^{\sin x}} - \cos x = 0$ in the interval $\left( {0,{\pi \over 2}} \right)$	(P)	1
(B)	Value(s) of $k$ for which the planes $kx + 4y + z = 0,4x + ky + 2z = 0$ and $2x + 2y + z = 0$ intersect in a straight line	(Q)	2
(C)	Value(s) of $k$ for which $\|x - 1\| + \|x - 2\| + \|x + 1\| + \|x + 2\| = 4k$ has integer solution(s)	(R)	3
(D)	If $y' = y + 1$ and $y(0) = 1$ then value(s) of $y(\ln 2)$	(S)	4
		(T)	5

A
(A) $\to$ (P); (B) $\to$ (Q), (S); (C) $\to$ (Q), (R), (S), (T); (D) $\to$ (R)
B
(A) $\to$ (T); (B) $\to$ (Q), (S); (C) $\to$ (Q), (S), (T); (D) $\to$ (Q)
C
(A) $\to$ (S); (B) $\to$ (Q), (S); (C) $\to$ (P), (R), (S), (T); (D) $\to$ (R)
D
(A) $\to$ (P); (B) $\to$ (Q), (S); (C) $\to$ (Q), (R), (T); (D) $\to$ (S)

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