CUET Mathematics - If f(x) = x - x, x [0, 2] then (A) f(x) is increasing in (0, 3/4) (B) f(x) is decreasing in (0, 3/4) (C) f(x) is decreasing in (3/4, 7/4) (D) f(x) is decreasing in (7/4, 2) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

core

(A), (D) and (C) only

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

(A) and (C) only

(B) and (D) only

✅ Correct Option: 3

Related questions:

15 May Shift 2

Match List-I with List-II

The function $f(x) = (x - 1)(x + 1)^2$ has

List-I	List-II
(A) A local maxima at $x =$ ____	(I) $\frac{1}{3}$
(B) A local minima at $x =$ ____	(II) 0
(C) The local minimum value of $f(x) =$ ____	(III) -1
(D) The local maximum value of $f(x) =$ ____	(IV) $-\frac{32}{27}$

Choose the correct answer from the options given below:

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

13 May Shift 2

The function $f(x) = \frac{x}{2} + \frac{2}{x}, x \neq 0$ is increasing on

(A) $(-\infty, -2)$

(B) $(-2, 2)$

(D) $(-1, 1)$

Choose the correct answer from the options given below:

CUET Mathematics 2025 27 May Shift 1 PYQs