NCERT Solutions for Class 11 Maths Chapter 13 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 13 Limits and Derivatives Miscellaneous Exercises are based on the following concepts:

  • Intuitive Idea of Derivatives
  • Limits
  • Limits of Trigonometric Functions
  • Derivatives

Download PDF NCERT Solutions for Class 11 Chapter 13 Limits and Derivatives Miscellaneous Exercises

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CBSE CLASS XII Related Questions

  • 1.

    A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 


      • 2.
        A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

          • Reflexive only
          • Reflexive and Transitive
          • Symmetric and Transitive
          • Symmetric only

        • 3.

          An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.  
          Based on the above information, answer the following questions :


            • 4.

              Evaluate:
              \[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]


                • 5.
                  Find:

                  The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

                    • \(-\frac{\pi}{2}\)
                    • \(-\frac{\pi}{4}\)
                    • \(\frac{\pi}{4}\)
                    • \(\frac{\pi}{2}\)

                  • 6.
                    Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).

                      CBSE CLASS XII Previous Year Papers

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