NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals Miscellaneous Exercise Solutions

Collegedunia Team logo

Collegedunia Team Content Curator

Content Curator

Class 12 Maths NCERT Solutions Chapter 8 Applications of Integrals Miscellaneous Exercises are provided in the article. Class 12 Chapter 8 Applications of Integrals Miscellaneous Exercises are important for both CBSE Term II exam and for competitive exams. Key topics covered in this chapter are Area Between Two Curves, lines, parabolas; area of circles/ellipses.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 8 Miscellaneous Exercises

Read More: NCERT Solutions For Class 12 Mathematics Chapter 8 Applications of Integrals

Also check other Exercise Solutions of Class 12 Maths Chapter 8 Applications of Integrals

Also Read:

Also Read:

CBSE CLASS XII Related Questions

  • 1.

    A shop selling electronic items sells smartphones of only three reputed companies A, B, and C because chances of their manufacturing a defective smartphone are only 5%, 4%, and 2% respectively. In his inventory, he has 25% smartphones from company A, 35% smartphones from company B, and 40% smartphones from company C.
    A person buys a smartphone from this shop

    (i) Find the probability that it was defective.


      • 2.
        Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]


          • 3.
            The values of $\lambda$ so that $f(x) = \sin x - \cos x - \lambda x + C$ decreases for all real values of $x$ are :

              • $1<\lambda<\sqrt{2}$
              • $\lambda \geq 1$
              • $\lambda \geq \sqrt{2}$
              • $\lambda<1$

            • 4.
              Let $f(x) = |x|$, $x \in \mathbb{R}$. Then, which of the following statements is incorrect?

                • $f$ has a minimum value at $x = 0$
                • $f$ has no maximum value in $\mathbb{R}$
                • $f$ is continuous at $x = 0$
                • $f$ is differentiable at $x = 0$

              • 5.
                The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
                (i) The probability that she buys both the colouring book and the box of colours.
                (ii) The probability that she buys a box of colours given she buys the colouring book.


                  • 6.
                    If $f : \mathbb{N} \rightarrow \mathbb{W}$ is defined as \[ f(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases} \] then $f$ is :

                      • injective only
                      • surjective only
                      • a bijection
                      • neither surjective nor injective
                    CBSE CLASS XII Previous Year Papers

                    Comments


                    No Comments To Show