CUET Mathematics - Match List-I with List-II | List-I | List-II | |---|---| | (A) f(x) = cases x^10-1 & , x ≤ 1 \\ x^2 & , x > 1 cases | (I) is continuous at all points of domain | | (B) g(x) = [x], [x] denotes the greatest integer function | (II) is continuous at x = 0 | | (C) h(x) = cases x/x & , x < 0 \\ x+1 & , x ≥ 0 cases | (III) is discontinuous at x = -2 | | (D) p(x) = cases x/ x & , x < 0 \\ -1 & , x ≥ 0 cases | (IV) is discontinuous at x = 1 | Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 19th May Shift 1

Calculus

Medium

core

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (III), (B) - (I), (C) - (II), (D) - (IV)

(A) - (IV), (B) - (II), (C) - (I), (D) - (III)

(A) - (I), (B) - (III), (C) - (IV), (D) - (II)

✅ Correct Option: 1

Related questions:

19th May Shift 2

If $x = 3t^2$ and $y = \sqrt{t}$ , then the value of $\frac{d^2y}{dx^2}$ is

22nd May Shift 2

For the function $f: \mathbb{R} \to \mathbb{R}$ given by $f(x) = \lvert x-3 \rvert + \lvert x+4 \rvert$ , Where $\mathbb{R}$ is set of real numbers, which of the following statements are correct?

(A) $f(x)$ is continuous as well as differentiable at $x=3$ .

(B) $f(x)$ is continuous but not differentiable at $x=3$ and $x=-4$

(D) $f(x)$ is continuous on $\mathbb{R}$

Choose the correct answer from the options given below:

29th May Shift 1

Match List-I with List-II

List-I (Function $y=$ )	List-II ( $\dfrac{dy}{dx}$ at $x=0$ )
(A) $x+e^x$	(I) 1
(B) $\tan^{-1}x-\dfrac{x}{2}$	(II) $\dfrac{1}{2}$
(C) $\tan^{-1}x$	(III) 0
(D) $x+\cos^{-1}x$	(IV) 2

Choose the correct answer from the options given below:

CUET Mathematics 2026 19th May Shift 1 PYQs

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