CUET UG 2025 — Mathematics Calculus
Match List-I with List-II
| List-I | List-II |
|---|---|
| Function | Property |
| (A) f(x)={∣x∣x0:x=0:x=0 | (I) continuous but not differentiable at x=0 |
| (B) f(x)=∣x∣ | (II) continuous but not differentiable at x=1 |
| (C) f(x)=∣x2−1∣ | (III) discontinuous at x=0 |
| (D) f(x)=∣x−1∣ | (IV) continuous but not differentiable at x=1,−1 |
Choose the correct answer from the options given below:
Held on 13 May 2025 · Verified 13 Jul 2026.
(A) - (III), (B) - (I), (C) - (IV), (D) - (II)
(A) - (IV), (B) - (I), (C) - (II), (D) - (III)
(A) - (III), (B) - (I), (C) - (II), (D) - (IV)
(A) - (IV), (B) - (III), (C) - (I), (D) - (II)
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.