WBJEE PYQs for Continuity and Differentiability with Solutions: Practice WBJEE Previous Year Questions

Updated on - Dec 31, 2025

Continuity and Differentiability is an important topic in the Mathematics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.

This article gives you a full set of WBJEE PYQs for Continuity and Differentiability with explanations for effective preparation. Practice of WBJEE Mathematics PYQs including Continuity and Differentiability questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.

WBJEE PYQs for Continuity and Differentiability with Solutions

1.
Let $ f(x) = |1 - 2x| $, then:
- $ f(x) $ is continuous but not differentiable at $ x = \frac{1}{2} $.
- $ f(x) $ is differentiable but not continuous at $ x = \frac{1}{2} $.
- $ f(x) $ is both continuous and differentiable at $ x = \frac{1}{2} $.
- $ f(x) $ is neither differentiable nor continuous at $ x = \frac{1}{2} $.
View Solution
2.
If $A = (\begin{array}{cc} 3 & x - 1 \\ 2 x + 3 & x + 2 \end{array})$ is a symmetric matrix, then the value of $x$ is
- (A) 4
- (B) 3
- (C) -4
- (D) -3
View Solution
3.
The number of points at which the function $f \left(x\right)=max \left\{a-x, a+x, b\right\}, -\infty, 0 < a < b$ cannot be differentiable
- $0$
- $1$
- $2$
- $3$
View Solution
4.
A function $ f $ is defined by $ f(x) = 2 + (x - 1)^{2/3} $ on $ [0, 2] $. Which of the following statements is incorrect?
- $ f $ is not derivable in $ (0, 2) $.
- $ f $ is continuous in $ [0, 2] $.
- $ f(0) = f(2) $.
- Rolle's theorem is a
  pplicable on $ [0, 2] $.
View Solution

View more WBJEE Questions

SHARE ON FACEBOOK SHARE ON TWITTER

Comments

No Comments To Show

SUBSCRIBE TO OUR NEWS LETTER

COLLEGE NOTIFICATIONS

EXAM NOTIFICATIONS

NEWS UPDATES

Download the Collegedunia app on

WBJEE PYQs for Continuity and Differentiability with Solutions: Practice WBJEE Previous Year Questions

WBJEE PYQs for Continuity and Differentiability with Solutions

1.
Let \( f(x) = |1 - 2x| \), then:

2.
If $A = (\begin{array}{cc} 3 & x - 1 \\ 2 x + 3 & x + 2 \end{array})$ is a symmetric matrix, then the value of $x$ is

3.
The number of points at which the function $f \left(x\right)=max \left\{a-x, a+x, b\right\}, -\infty, 0 < a < b$ cannot be differentiable

4.
A function \( f \) is defined by \( f(x) = 2 + (x - 1)^{2/3} \) on \( [0, 2] \). Which of the following statements is incorrect?

Comments

SUBSCRIBE TO OUR NEWS LETTER

WBJEE PYQs for Continuity and Differentiability with Solutions

1.Let \( f(x) = |1 - 2x| \), then:

2.If A=(3x−12x+3x+2) is a symmetric matrix, then the value of x is

3.The number of points at which the function $f \left(x\right)=max \left\{a-x, a+x, b\right\}, -\infty, 0 < a < b$ cannot be differentiable

4.A function \( f \) is defined by \( f(x) = 2 + (x - 1)^{2/3} \) on \( [0, 2] \). Which of the following statements is incorrect?

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Let \( f(x) = |1 - 2x| \), then:

2.
If $A = (\begin{array}{cc} 3 & x - 1 \\ 2 x + 3 & x + 2 \end{array})$ is a symmetric matrix, then the value of $x$ is

3.
The number of points at which the function $f \left(x\right)=max \left\{a-x, a+x, b\right\}, -\infty, 0 < a < b$ cannot be differentiable

4.
A function \( f \) is defined by \( f(x) = 2 + (x - 1)^{2/3} \) on \( [0, 2] \). Which of the following statements is incorrect?