Match List-I with List-II | List-I | List-II | | --- | --- | | Function f(x) | Interval for increasing/decreasing of function f(x) | | --- | --- | | (A) f(x) = x x | (I) Decreases on (0, ∞) | | (B) f(x) = x^2 + 2x - 5 | (II) Increases on (3, ∞) | | (C) f(x) = x^2 - 6x + 9 | (III) Decreases on (-∞, -1) | | (D) f(x) = -x^2 | (IV) Increases on (-∞, ∞) | Choose the correct answer from the options given below:

Question

Option 1: (A) - (II), (B) - (III), (C) - (IV), (D) - (I)

Option 2: (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Option 3: (A) - (III), (B) - (IV), (C) - (II), (D) - (I)

Option 4: (A) - (I), (B) - (II), (C) - (III), (D) - (IV)

AfterBoards · Accepted Answer

The answer is '(A) - (IV), (B) - (III), (C) - (II), (D) - (I)'. View full solution:

List-I	List-II
(A) Maximum value of $f(x) = \sin^2 x - \cos^2 x$ , $\forall x \in (\pi, 2\pi)$ is	(I) 0
(B) Minimum value of $f(x) = \sin x \cos x$	(II) 1
(C) Point of Minima of $f(x) = x^x$ $(x > 0)$	(III) $-\frac{1}{2}$
(D) Maximum value of $f(x) = -x^{2026}$	(IV) $\frac{1}{e}$

List-I	List-II
(A) Point of local Maxima	(I) 1
(B) Point of local Minima	(II) -1
(C) Local maximum value	(III) 2
(D) Local minimum value	(IV) -2

CUET Mathematics 2025 29 May Shift 2 PYQs

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