NCERT Solutions for Class 12 Maths Chapter 5 Continuity & Differentiability Miscellaneous Exercise

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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Miscellaneous Exercise is covered in this article. This miscellaneous exercise includes questions from Continuity, Algebra of continuous functions, Differentiability, Derivatives of composite functions, Derivatives of implicit functions, Derivatives of inverse trigonometric functions, Exponential and Logarithmic Functions, Logarithmic Differentiation, Derivatives of Functions in Parametric Forms, Second Order Derivative, Mean Value Theorem

  • NCERT Solutions for Class 12 Maths Chapter 5 will carry a weightage of around 8-17 marks in the CBSE Term 2 Exam 2022
  • NCERT has provided a total of 23 problems and solutions based on the important topic covered in this exercise. 

Download PDF NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Miscellaneous Exercise 

NCERT Solutions for Class 12 Maths Chapter 5: Important Topics

Important topics covered in the Continuity and Differentiability chapter are:

  • Mean Value Theorem
  • Rolle’s Theorem
  • Limits
  • Euler’s Number
  • Quotient Rule

Also check: NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability

Other Exercise Solutions of Class 12 Maths Chapter 5 Continuity and Differentiability

Exercise 5.1 Solutions 34 Questions (Short Answers)
Exercise 5.2 Solutions 10 Questions(Short Answers)
Exercise 5.3 Solutions 15 Questions ( Short Answers)
Exercise 5.4 Solutions 10 Questions (Short Answers)
Exercise 5.5 Solutions 18 Questions ( Short Answers)
Exercise 5.6 Solutions 11 Questions (Short Answers)
Exercise 5.7 Solutions 17 Questions (Short Answers)
Exercise 5.8 Solutions 6 Questions (Short Answers)
Miscellaneous Exercise Solutions 23 Questions (6 Long Answers, 17 Short Answers)

Chapter 5 Continuity and Differentiability Topics:

CBSE Class 12 Mathematics Study Guides:

CBSE CLASS XII Related Questions

  • 1.
    Using integration, find the area of the region bounded by the line \[ y = 5x + 2, \] the \( x \)-axis, and the ordinates \( x = -2 \) and \( x = 2 \).


      • 2.
        Determine those values of $x$ for which $f(x) = \frac{2}{x} - 5$, $x \ne 0$ is increasing or decreasing.


          • 3.
            Solve the differential equation \( (x - \sin y) \, dy + (\tan y) \, dx = 0 \), given \( y(0) = 0 \).


              • 4.
                If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]


                  • 5.

                    Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
                    Let \( A_1 \): People with good health,
                    \( A_2 \): People with average health,
                    and \( A_3 \): People with poor health.
                    During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
                    Based upon the above information, answer the following questions:
                    (i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
                    (ii) Given that the person has not contracted the disease, what is the probability that the person is from category \( A_2 \)?


                      • 6.
                        If \( f(x) = \begin{cases} \frac{\sin^2 ax}{x^2}, & \text{if } x \neq 0 \\ 1, & \text{if } x = 0 \end{cases} \) is continuous at \( x = 0 \), then the value of 'a' is :

                          • 1
                          • -1
                          • 0
                          • \( \pm 1 \)
                        CBSE CLASS XII Previous Year Papers

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