In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 6 Applications of Derivatives Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Applications of Derivatives to know their preparation level.
Join our Telegram Channel, there you will get various e-books for CBSE 2024 Boards exams for Class 9th, 10th, 11th, and 12th.
In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.
Applications of Derivatives Case Study Questions With answers
Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 6 Applications of Derivatives
Case Study/Passage-Based Questions
Shobhit’s father wants to construct a rectangular garden using a brick wall on one side of the garden and wire fencing for the other three sides as shown in the figure. He has 200 ft of wire fencing.
Based on the above information, answer the following questions.
(i) To construct a garden using 200 ft of fencing, we need to maximize its
| (a) volume | (b) area | (c) perimeter | (d) length of the side |
Answer: (b) area
(ii) If x denote the length of side of garden perpendicular to brick wall and y denote the length, of side parallel to brick wall, then find the relation representing total amount of fencing wire.
| (a) x+2y=150 | (b) x+2y=50 | (c) y+2x=200 | (d) y+2x=100 |
Answer: (c) y+2x=200
(iii) Area of the garden as a function of x, say A(x), can be represented as
| (a) 200 + 2x2 | (b) x – 2x2 | (c) 200x – 2x2 | (d) 200-x2 |
Answer: (c) 200x – 2×2
(iv) Maximum value of A(x) occurs at x equals
| (a) 50 ft | (b) 30 ft | (c) 26ft | (d) 31 ft |
Answer: (a) 50 ft
(v) Maximum area of garden will be
| (a) 2500sq.ft | (b) 4000sq.ft | (c) 5000sq.ft | (d) 6000 sq. ft |
Answer: (c) 5000sq.ft
Hope the information shed above regarding Case Study and Passage Based Questions for Class 12 Maths Chapter 6 Applications of Derivatives with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 12 Mathematics Applications of Derivatives Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible.
By Team Study Rate
