NCERT Solutions for Class 11 Maths Chapter 16 Miscellaneous Exercises

CBSE CLASS XII Related Questions

  • 1.

    If \[ B(\operatorname{adj} B)= \begin{bmatrix} \frac{1}{3} & 0 & 0\\ 0 & \frac{1}{3} & 0\\ 0 & 0 & \frac{1}{3} \end{bmatrix}, \] then the value of \[ \det(B^{-1}) \] is: 

      • \(\frac{1}{3}\)
      • \(\frac{1}{9}\)
      • \(3\)
      • \(9\)

    • 2.

      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. 


        • 3.
          If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


            • 4.

              The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

                • \([-1, 1]\)
                • \([4, 6]\)
                • \([-7, -3]\)
                • \([2, 3]\)

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


                  • 6.
                    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.

                      CBSE CLASS XII Previous Year Papers

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