CUET Mathematics - If the function f(x) = cases k x &: x ≠ /2 \\ - 2x & \\ 3 & : x = /2 cases is continuous at x = /2, then k is equal to | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Calculus

Medium

core

-6

✅ Correct Option: 1

Related questions:

3 June Shift 2

Match List-I with List-II

List-I	List-II
(A) $\int \dfrac{dx}{x^2 - 16}$	(I) $\dfrac{1}{8} \log \left\| \dfrac{4 + x}{4 - x} \right\| + c$ , Where C is an arbitrary constant,
(B) $\int \dfrac{dx}{x^2 + 16}$	(II) $\log \left\| x + \sqrt{x^2 - 16} \right\| + c$ , Where C is an arbitrary constant,
(C) $\int \dfrac{dx}{16 - x^2}$	(III) $\dfrac{1}{8} \log \left\| \dfrac{x - 4}{x + 4} \right\| + c$ , Where C is an arbitrary constant,
(D) $\int \dfrac{dx}{\sqrt{x^2 - 16}}$	(IV) $\dfrac{1}{4} \tan^{-1} \left( \dfrac{x}{4} \right) + c$ , Where C is an arbitrary constant,

Choose the correct answer from the options given below:

13 May Shift 1

If $y = 3^x + e^x + x^x + x^3$ , then the value of $\frac{dy}{dx}$ at $x = 3$ is

30 May Shift 1

If $xy + \frac{x^2}{y} = x^3y + y$ , then $\frac{dy}{dx}$ is equal to

CUET Mathematics 2025 14 May Shift 1 PYQs