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 5 Continuity and Differentiability Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Continuity and Differentiability to know their preparation level.

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.

Continuity and Differentiability Case Study Questions With answers

Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 5 Continuity and Differentiability

Case Study/Passage-Based Questions

Case Study 1:

(a) A function f(x) is said to be continuous in an open interval (a, b), if it is continuous at every point in this interval.

(b) A function f(x) is said to be continuous in the closed interval [a, b], if f(x) is continuous in (a, b) and lim_h→0f(a+h)=f(a) and lim_h→0f(b−h)=f(b)lim_h→0f(a+h)=f(a) and lim_h→0f(b−h)=f(b) 

If function

 is continuous at x = 0, then answer the following questions.

(i) The value of a is

(a)  -3/2

(b) 0

(c) 1/2

(d) -1/2

Show Answer

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(ii) The value of b is

(a) 1

(b) -1

(c) 0

(d) any real number

Show Answer

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(iii) The value of c is

(a) 1

(b) 1/2

(c) -1

(d) -1/2

Show Answer

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(iv) The value of a + c is

(a) 1

(b) 0

(c) -1

(d) -2

Show Answer

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(v) The value of c – a is

(a) 1

(b) 0

(c) -1

(d) 2

Show Answer

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