CUET Mathematics - The value of k for which the function, defined by, f(x) = cases 3x + 4 x/k & ; x ≠ 0 \\ k & ; x = 0 cases is continuous at x = 0, is | PYQs + Solutions

CUET Mathematics 2025 15 May Shift 2

Calculus

Medium

core

✅ Correct Option: 3

Related questions:

15 May Shift 2

Which of the following functions $f(x)$ are differentiable at $x = 0$ ?

(A) $|x|$

(B) $|x - 1|$

(D) $|\cos x|$

(E) $x^2$

Choose the correct answer from the options given below:

13 May Shift 1

Match List-I with List-II

List-I	List-II
Function	Property
(A) $f(x) = \frac{x}{\|x\|}$ for $x \neq 0$ and $f(0) = 0$	(I) continuous but not differentiable at $x=0$
(B) $f(x) = \|x\|$	(II) continuous but not differentiable at $x=1$
(C) $f(x) = \|x^2 - 1\|$	(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:

19 May Shift 1

If $e^x + e^y = e^{x+y}$ , then $\frac{dy}{dx}$ =

CUET Mathematics 2025 15 May Shift 2 PYQs