NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.6

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NCERT Solutions for Class 12 Maths Chapter 5 Continuity and Differentiability Exercise 5.6 is covered in this article. Exercise 5.6 is based on Derivatives of Functions in Parametric Forms. 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 9 problems and solutions based on the important topic covered in this exercise. 

Download PDF NCERT Solutions for Class 12 Chapter 5 Continuity and Differentiability Exercise 5.6

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.
    $ \int \frac{e^{10 \log x} - e^{8 \log x}}{e^{6 \log x} - e^{5 \log x}} \, dx$ is equal to :

      • $x + C$
      • $\frac{x^2}{2} + C$
      • $\frac{x^4}{4} + C$
      • $\frac{x^3}{3} + C$

    • 2.
      Let \( \vec{a} \) be a position vector whose tip is the point (2, -3). If \( \overrightarrow{AB} = \vec{a} \), where coordinates of A are (–4, 5), then the coordinates of B are:

        • (-2, -2)
        • (2, -2)
        • (-2, 2)
        • (2, 2)

      • 3.

        The given graph illustrates:

          • $y = \tan^{-1} x$
          • $y = \csc^{-1} x$
          • $y = \cot^{-1} x$
          • $y = \sec^{-1} x$

        • 4.

          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 \( A_2 \)?


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


                • 6.
                  Let $\mathbf{| \mathbf{a} |} = 5$ and $-2 \leq z \leq 1$. Then, the range of $|\mathbf{a}|$ is:

                    • $[5, 10]$
                    • $[-2, 5]$
                    • $[2, 1]$
                    • $[-10, 5]$
                  CBSE CLASS XII Previous Year Papers

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