CUET Mathematics - Let f(x) = _e( x), x (0, ), then which of the following statements is/are TRUE? (A) f(x) is increasing on (0, /2) (B) f(x) is decreasing on (/2, ) (C) f(x) is increasing on (0, ) (D) f(x) is decreasing on (0, ) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 2

Calculus

Medium

core

(A) and (B) only

(A) only

(B) only

✅ Correct Option: 2

Related questions:

22 May Shift 2

If the function $f(x) = 2x^2 - kx + 7$ , is increasing on $[1,2]$ , then $k$ lies in the interval

29 May Shift 2

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 $(0, \infty)$
(B) $f(x) = x^2 + 2x - 5$	(II) Increases on $(3, \infty)$
(C) $f(x) = x^2 - 6x + 9$	(III) Decreases on $(-\infty, -1)$
(D) $f(x) = -x^2$	(IV) Increases on $(-\infty, \infty)$

Choose the correct answer from the options given below:

21 May Shift 1

If $y = ax^2 + bx$ has minima at $x = 2$ and the minimum value is -12, then which of the following are correct?

(A) $a = 3$

(B) $a = -3$

(D) $b = -12$

Choose the correct answer from the options given below:

CUET Mathematics 2025 3 June Shift 2 PYQs