NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.4

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.4 is based on Sum to n Terms of Special Series. 

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CBSE CLASS XII Related Questions

  • 1.

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

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

    • 2.

      Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

        • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
        • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
        • \( \frac{2\sqrt{\cos x}}{\sin x} \)
        • \( \frac{1}{\sin x\sqrt{\cos x}} \)

      • 3.

        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 :

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

        • 4.

          The value of \( \left[ \tan^{-1}(-1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right) \right] \) is :

            • \( \frac{7\pi}{12} \)
            • \( \frac{5\pi}{12} \)
            • \( -\frac{5\pi}{12} \)
            • \( \frac{\pi}{3} \)

          • 5.

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


              • 6.

                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

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

                  CBSE CLASS XII Previous Year Papers

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