NCERT Solutions for Class 11 Maths Chapter 9 Miscellaneous Exercises

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

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CBSE CLASS XII Related Questions

  • 1.

    If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

      • \(0.35\)
      • \(0.85\)
      • \(0.5\)
      • \(0.21\)

    • 2.

      For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :

      Minimize \(Z = 18x + 10y\)

      subject to constraints

      \[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]


        • 3.

          Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


            • 4.

              \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

                • \( \log \cos 2x + C \)
                • \( \sec^{2} 2x + C \)
                • \( e^{x}\tan x + C \)
                • \( e^{x}\cot x + C \)

              • 5.

                For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

                  • \(\frac{1}{2}\)
                  • \(\frac{3}{5}\)
                  • \(\frac{1}{5}\)
                  • \(\frac{3}{10}\)

                • 6.

                  Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).

                    CBSE CLASS XII Previous Year Papers

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