NCERT Solutions for Class 12 Maths Chapter 1 Relations And Function Miscellaneous Exercise

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NCERT Solution for Class 12 Maths Chapter 1 relations and functions Miscellaneous Exercise is based upon the theories covered in the previous four exercises.

  • In class 12 maths NCERT Solutions for chapter 1 relations and functions miscellaneous exercise there are around 19 questions including objectives and descriptive questions.
  • Nearly 7, 9 and 3 questions from relations, functions and binary operations respectively are provided in the miscellaneous exercise.

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Check Class 12 NCERT Maths Chapter 1 Relations and Functions Exercises: 

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CBSE CLASS XII Related Questions

  • 1.

    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 :


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


          • 3.

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


              • 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.
                    Find:

                    If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

                      • \(0\)
                      • \(-2\)
                      • \(-1\)
                      • \(2\)

                    • 6.
                      Which of the following equations is NOT a Linear Differential Equation?

                        • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
                        • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
                        • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
                        • \(y \, dx - (x + 3y^2) \, dy = 0\)
                      CBSE CLASS XII Previous Year Papers

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