NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.1

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.1 is based on the introductory concepts of Sequence and Series. 

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CBSE CLASS XII Related Questions

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


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


          • 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.
                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 \(P(E/F)\).


                  • 5.

                    A rectangle of perimeter \(24\) cm is revolved along one of its sides to sweep out a cylinder of maximum volume. Find the dimensions of the rectangle. 


                      • 6.
                        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:
                        \[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]

                          CBSE CLASS XII Previous Year Papers

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