CUET Mathematics 2026 - Observe the graph of a function y = f(x) and identify the correct statements (s): A. Function is continuous but not differentiable at x = a B. Function is not defined at x = a C. Function is defined at x = a but not differentiable. D. Given that at x = a, y = b. Choose the correct answer from the options given below: | PYQs + Solutions

2026: 18 May Shift 1

Match List-I with List-II

List-I	List-II
Parametric Curve	$\dfrac{dy}{dx} =$
(A) $x = t, y = t^2$	(I) $\dfrac{3}{2}t$
(B) $x = t^2, y = t^3$	(II) $2t$
(C) $x = t^3, y = t^2$	(III) $\dfrac{1}{2t}$
(D) $x = t^2, y = t$	(IV) $\dfrac{2}{3t}$

Choose the correct answer from the options given below:

2022: 17 Aug Shift 2

Let $y = \log(x + \sqrt{x^2+1})$ , and $a\frac{d^2y}{dx^2} + b\frac{dy}{dx} = c$ . Then identify the correct statements about the values of $a$ , $b$ and $c$ :

(A) $a = 1 + x^2$

(B) $b = 0$

(C) $c = 0$

(D) $b = x$

(E) $c = 2$

Choose the correct answer from the options given below :

2024: 16 May Shift 1

Let $[x]$ denote the greatest integer function. Then match List-I with List-II:

List-I	List-II
(A) $\vert x - 1\vert + \vert x - 2\vert$	(I) is differentiable everywhere except at $x = 0$
(B) $x - \vert x\vert$	(II) is continuous everywhere
(C) $x - [x]$	(III) is not differentiable at $x = 1$
(D) $x \, \vert x\vert$	(IV) is differentiable at $x = 1$

2025: 13 May Shift 2

If $f(x) = x^3 e^{-x}$ , then the value of $f''(1)$ is equal to

2026: 30 May Shift 2

Match List-I with List-II

List-I	List-II
(A) $\frac{d}{dx}(\sqrt{\sin x})$	(I) $\frac{-\sin x}{2\sqrt{\cos x}}$
(B) $\frac{d}{dx}(\sqrt{\cos x})$	(II) $-\sin 2x$
(C) $\frac{d}{dx}(\sin^2 x)$	(III) $\frac{\cos x}{2\sqrt{\sin x}}$
(D) $\frac{d}{dx}(\cos^2 x)$	(IV) $\sin 2x$

Choose the correct answer from the options given below:

2026: 30 May Shift 2

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

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