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 6- Application of Derivatives 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 6 Competency-Based Questions
The chapter 6 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. The diagonal of a square, of side 3√2 cm, is increasing at a rate of 2 cm/s. Which of the following is the rate at which its area is increasing?
- √2 cm2/s
- 6√2 cm2/s
- 12 cm2/s
- 24 cm2/s
Q: 2 Sameer wants to find the area of his garden. He measures the side of his square garden as 10 m with an error of 0.05 m.
Which of the following is the approximate error that Sam will have in calculating its area?
- 0.05 m2
- 2 0.5 m2
- 1m2
- 10.05 m2
Q: 3 Gagan wants to calculate the capacity of a cylindrical water tank. He precisely measures the height of the tank as 7 m. Next, he measures the radius of the tank as 2 m, with an error of 0.05 m. The error occurred while measuring the radius results in an error in calculating the capacity.
What is the approximate error in calculating the capacity of the water tank?
- 2.2m3
- 4.4m3
- 44m3
- 88 m3
Q: 4 Study the function Below:
Which of the following is true about the nature of the function in the interval [-3, 31?
- f (x) is increasing
- f(x) is decreasing
- f(x) is neither increasing nor decreasing
- (cannot say without knowing the value of k)
Q: 5 The normal to the curve y = f(x) at the point (5, 7) makes an angle of 4 with the x
-axis in the positive direction.
Find f'(5). Show your work.
.jpg)
Q: 9 A circular metallic plate is expanding such that its area is constantly increasing with respect to time.Milind claims that the rate of increase of its perimeter with respect to time is inversely proportional to its radius.
Is Milind's claim correct? Justify your answer.
Q: 10 A particle is moving such that its distances from a fixed point at any time t is given by 5 = Asin t + Bcos t, where A, B € R. Show that the particle's acceleration is always numerically equal to its distance from the fixed point.
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 6 Application of Derivatives Competency Focused Questions 2024-25 With Answers Volume 1 | |
| CBSE Class 12 Maths Chapter 6 Application of Derivatives Competency Focused Questions 2024-25 With Answers Volume 2 |
Related:
Comments
All Comments (0)
Join the conversation