CUET Mathematics - For the function f(x) = -2x^2 + 3x^2 + 36x - 10, which of the following is/are true? (A) f is increasing in (-∞, -2) (B) f is increasing in (-2, 3) (C) f is decreasing in (-∞, -2) (D) f is decreasing in (3, ∞) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 2 June Shift 1

Calculus

Medium

common

(B) and (D) only

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

(A) and (D) only

(B) only

✅ Correct Option: 2

Related questions:

16 May Shift 1

Match List-I with List-II

Consider the function f(x) = 2x³ - 21x² + 36x + 80, x∈[0, 6]. Then

List-I	List-II
(A) one of its critical points is at x =	(I) -28
(B) Its absolute maximum value is	(II) -42
(C) Its absolute minimum value is	(III) 97
(D) Its second derivative at x = 0 is	(IV) 6

Choose the correct answer from the options given below:

27 May Shift 1

A cylindrical drum of radius 7 cm and height 2 m is being kept in a vertical position filled with milk. If the milk is leaking at 14 cm³/sec from its lower base, then the rate of decrease in the level of milk is:

[Take $\pi = \frac{22}{7}$ ]

30 May Shift 2

If the minimum value of $a$ is $-\frac{1}{2}$ such that the function $f(x) = x^2 + ax + 5$ is increasing in [1, 2]. Then value of $b$ is

CUET Mathematics 2025 2 June Shift 1 PYQs

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