CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its official website. Competency-focused questions can be helpful for students to secure good marks while referring and practicing them. It will help students to get familiar with the style and format of questions which are expected to appear in the final examinations.
In this article you will find specifically for Class 12 Maths Chapter 5- Continuity and Differentiability downloadable PDF link. At the end of this article, a free PDF link has been attached for the students to access and download.
Check: CBSE 12th Date Sheet 2025 Download PDF
CBSE Class 12 Maths Chapter 5 Competency-Based Questions
The chapter 5 CBQs for Class 12 Maths are given below. The questions provided here are MCQs whose complete PDF is attached at the end of these questions along with Volume 2 with free response questions.
Q1. Shown below are the graph of two functions
What can one conclude from the above graphs?
1) The product of a differentiable function and a non-differentiable function is ALWAYS differentiable.
2) The product of a differentiable function and a non-differentiable function is ALWAYS NOT differentiable.
3) The product of a differentiable function and a non-differentiable function MAY BE differentiable.
4) (cannot conclude anything from the given graphs.)
Q3. Which of the following is INCORRECT about a function f: R -> R?
1)If f is differentiable at x = c, then f is continuous at x = c.
2)If f is not differentiable at x = c, then f is not continuous at x = c.
3)If f is not continuous at x = c, then f is not differentiable at x = c.
4)If f is continuous at x = c, then f may or may not be differentiable at x = c.
Q4. In which of these sets is the function f(x) = x | x - 2| differentiable twice?
1) R
2)R - {2}
3)R - {0, 2}
4) (the function cannot be differentiated twice in R)
Q6. A teacher asked her students for an example of a function whose first-order derivative is the same as its second-order derivative.
Shyama said, "there is no such function".
Is Shyama correct? Justify your answer.
To download this complete set of questions with the solutions and get more diverse options, click on the links below:
| CBSE Class 12 Maths Chapter 5 Continuity and Differentiability Competency Focused Questions 2024-25 With Answers Volume 1 | |
| CBSE Class 12 Maths Chapter 5 Continuity and Differentiability Competency Focused Questions 2024-25 With Answers Volume 2 |
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