NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercises

CBSE CLASS XII Related Questions

  • 1.
    The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

      • \( e^{-3} \)
      • \( -1 \)
      • \( 1 \)
      • \( -e^3 \)

    • 2.
      A function \[ f:\mathbb{R}-\left\{\frac{3}{5}\right\} \to \mathbb{R}-\left\{\frac{3}{5}\right\} \] is defined as \[ f(x)=\frac{3x+2}{5x-3}. \] Show that \(f\) is one-one and onto.


        • 3.

          Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


            • 4.
              For a square matrix \(A\), \[ (3A)^{-1}= \]

                • \( 3A^{-1} \)
                • \( 9A^{-1} \)
                • \( \frac{1}{3} A^{-1} \)
                • \( \frac{1}{9} A^{-1} \)

              • 5.
                Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


                  • 6.

                    Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

                    The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:

                      CBSE CLASS XII Previous Year Papers

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