CUET UG 2025 — Mathematics Calculus
If f(x)=∣x∣+∣x−5∣, then which of the following statements are TRUE?
(A) f is a continuous function every where
(B) f is a continuous function except x=5 and x=0
(C) f is a continuous function except x=0 but not differentiable at x=5
(D) f is a continuous function everywhere but not differentiable at x=0 and x=5
Choose the correct answer from the options given below:
Held on 29 May 2025 · Verified 13 Jul 2026.
(A) and (B) only
(B) and (C) only
(A) and (D) only
(B) and (D) only
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The derivative of x³ + 2x² - 5x + 1 is:
The value of the definite integral $I = \int_{1}^{2} \frac{1}{x(1 + x^2)}dx$ is:
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) $a = -3$ (C) $b = 12$ (D) $b = -12$ Choose the correct answer from the options given below:
The function $f(x) = kx^3 + 6kx^2 + 18x + 17$ is increasing on $\mathbb{R}$(set of real numbers) if:
Curd is at 80° F, five minutes later it came down at 60°F. After another 5 minutes, its temperature became 50° F. Given that the rate of change of temperature is proportional to (T - S), where S is temperature of the surroundings and T is temperature of the curd at any time t. Then the temperature of the surroundings is :
Work through every CUET UG Calculus PYQ, year by year.