NCERT Solutions for Class 11 Maths Chapter 2 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 2 Relations and Functions Miscellaneous Exercises are based on the following concepts: 

  1. Cartesian Product of Sets
  2. Relations
  3. Functions

Download PDF NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Miscellaneous Exercises 

Check out the solutions of Class 11 Maths NCERT solutions Chapter 2 Relations and Functions Miscellaneous Exercises 

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CBSE CLASS XII Related Questions

  • 1.

    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 :


      • 2.
        Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).


          • 3.
            Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


              • 4.
                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 \( x = 2 \).


                  • 5.

                    At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


                    Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
                    On the basis of the above information, answer the following questions :


                      • 6.
                        Find:

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

                          • \(-\frac{\pi}{2}\)
                          • \(-\frac{\pi}{4}\)
                          • \(\frac{\pi}{4}\)
                          • \(\frac{\pi}{2}\)
                        CBSE CLASS XII Previous Year Papers

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