NCERT Solutions for Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise

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Jasmine Grover

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Class 12 Maths NCERT Solutions Chapter 3 Matrices Miscellaneous Exercise Solutions is provided in this article. Chapter 3 Miscellaneous Exercise deals with the order of matrix, operations on matrices, types of matrices, and invertible matrices.

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CBSE CLASS XII Related Questions

  • 1.
    Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


      • 2.
        For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

          • local maximum value is 2
          • local minimum value is \( -2 \)
          • local maximum value is \( -2 \)
          • local minimum value \( < \) local maximum value

        • 3.

          Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


            • 4.

              Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


                • 5.
                  If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


                    • 6.

                      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: 

                        • \(\frac{1}{3}\)
                        • \(\frac{1}{9}\)
                        • \(3\)
                        • \(9\)
                      CBSE CLASS XII Previous Year Papers

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