NCERT Solutions for Class 11 Maths Chapter 10 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Miscellaneous Exercises are based on the following concepts:

  • Slope of a Line
  • Various Forms of the Equation of a Line
  • General Equation of a Line
  • Distance of a Point From a Line

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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.

            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: 

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

            • 4.
              The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

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

              • 5.

                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:


                  • 6.

                    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 \[ 3q(x)-\pi. \] 

                      CBSE CLASS XII Previous Year Papers

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