CUET Mathematics - For the function f(x) = x^4/4 - 2x^3 + 11/2x^2 - 6x, which of the following statements are TRUE? (A) Critical points of f(x) are x = 1, 2 and 3. (B) f(x) is increasing over (1,2). (C) f(x) is decreasing over (2,3). (D) f(x) is increasing over (3,∞). Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Calculus

Medium

common

(A), (B) and (C) only

(A), (B) and (D) only

(A), (B), (C) and (D)

(B), (C) and (D) only

✅ Correct Option: 3

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Match List-I with List-II

List-I	List-II
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(B) The interval in which $f(x) = x^2 - 4x + 17$ is decreasing.	(II) $(-\infty,-5)$
(C) The interval in which $f(x) = 3x^2 + 30x - 7$ is increasing.	(III) $(2,\infty)$
(D) The interval in which $f(x) = 3x^2 + 30x - 7$ is decreasing.	(IV) $(-\infty,2)$

Choose the correct answer from the options given below:

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CUET Mathematics 2026 19th May Shift 1 PYQs