CUET Mathematics - For the function f: R R given by f(x) = x-3 + x+4 , Where 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 (C) f(x) is neither continuous nor differentiable at x=3 (D) f(x) is continuous on R Choose the correct answer from the options given below: | PYQs + Solutions | AfterBoards

CUET Mathematics 2026 22nd May Shift 2 PYQs

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CUET Mathematics 2026 22nd May Shift 2

Calculus

>

Easy

core

(A) and (B) only

(B), (C) and (D) only

(B) and (D) only

(A) and (C) only

✅ Correct Option: 3

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If $y = 500e^{7x} + 600e^{-7x}$ , then $\frac{d^2y}{dx^2}$ equals :

25 May Shift 1

If $\sqrt{1-x^2} + \sqrt{1-y^2} = a(x-y)$ , then $\frac{dy}{dx} =$

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Match List-I with List-II

List-I	List-II
(Parametric equations)	$\left(\frac{dy}{dx}\right)$
(A) $x = \frac{2}{t}, y = 2t$	(I) $4t^2$
(B) $x = t^3, y = 3t + 2$	(II) $2(t+1)$
(C) $x = \log t, y = 2t^2$	(III) $-t^2$
(D) $x = e^t, y = 2te^t$	(IV) $t^{-2}$

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