NCERT Solutions for Class 11 Maths Chapter 6 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 6 Linear Inequalities Miscellaneous Exercises is based on following concepts:

  • Inequalities
  • Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

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CBSE CLASS XII Related Questions

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


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


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

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

                • 5.

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

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

                  • 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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