If f(x) = cases k x/ - 2x, & x ≠ /2 \\ 3, & x = /2 cases is continuous at x = /2, then k is : Option 1: 6 Option 2: 4 Option 3: 3 Option 4: 2

The answer is '6'. View full solution:

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

CUET Mathematics 2023 30 May Shift 3

Calculus

Medium

✅ Correct Option: 1

Related questions:

14 May Shift 2

If $y = x\sin y$ , then $\frac{dy}{dx}$ is:

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:

30 May Shift 1

Match List-I with List-II

List-I	List-II
Function f(x)	Points of Non-Differentiability
---	---
(A) $f(x) = \vert x\vert + 1$	(I) Not differentiable at $x = 3$ only
(B) $f(x) = \vert x - 3\vert$	(II) Not differentiable at $x = -3$ only
(C) $f(x) = \vert x + 3\vert$	(III) Not differentiable at $x = 3, -3$ only
(D) $f(x) = \vert x^2 - 9\vert$	(IV) Not differentiable at $x = 0$ only

Choose the correct answer from the options given below: