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.
    Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


      • 2.
        Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]


          • 3.

            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 one such track is given as 

            (i) Find \(f'(x)\) for \(0<x>3\). 
            (ii) Find \(f'(4)\). 
            (iii)(a) Test for continuity of \(f(x)\) at \(x=3\). 
            OR 
            (iii)(b) Test for differentiability of \(f(x)\) at \(x=3\). 
             


              • 4.
                If \[ P = \begin{bmatrix} 1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2 \end{bmatrix} \quad \text{and} \quad Q = \begin{bmatrix} 2 & 2 & -4 \\ -4 & 2 & -4 \\ 1 & -1 & 5 \end{bmatrix} \] find \( QP \) and hence solve the following system of equations using matrix method:
                \[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]


                  • 5.
                    Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).


                      • 6.
                        Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]

                          CBSE CLASS XII Previous Year Papers

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