NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.3

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.3 is based on the following concepts:

  • Relationship Between A.M. and G.M.

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CBSE CLASS XII Related Questions

  • 1.
    Solve the following Linear Programming Problem graphically :
    Maximize \( Z = \frac{2x}{5} + \frac{3y}{10} \)
    subject to constraints
    \( 2x + y \leq 1000 \)
    \( x + y \leq 800 \)
    \( x, y \geq 0 \).


      • 2.
        Find the foot of the perpendicular from the point \( (0, 2, 3) \) on the line \( \frac{-x-3}{-5} = \frac{1-y}{-2} = \frac{3z+12}{9} \) and hence find the length of the perpendicular.


          • 3.
            Evaluate : \( \int_0^2 \frac{1}{\sqrt{x^2 + 2x + 3}} \, dx \).


              • 4.
                Sketch the graph defined by \( \left\{ (x, y) : \frac{x^2{25} + \frac{y^2}{25} = 1 \right\} \). Find the area of the region of minor segment cut off by the line \( x = \frac{5}{2} \), using integration.}


                  • 5.
                    A die is rolled. Consider events : \( A = \{1, 2, 5\} \), \( B = \{3, 5\} \), \( C = \{2, 3, 4, 5\} \). Find \( P(A \cap B|C) \) and \( P(A \cup B|C) \).


                      • 6.
                        Find : \( \int \frac{x - \sin x}{1 - \cos x} \, dx \).

                          CBSE CLASS XII Previous Year Papers

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