NCERT Solutions for Class 11 Maths Chapter 9 Exercise 9.2

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Class 11 Maths NCERT Solutions Chapter 9 Sequence and Series Exercise 9.2 is based on the following concepts:

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CBSE CLASS XII Related Questions

  • 1.

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

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

    • 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.

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

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

          • 4.

            For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

            Minimize \(Z = 5x + 7y\)

            subject to constraints

            \[ 2x + y \geq 8 \]

            \[ x + 2y \geq 10 \]

            \[ x,\ y \geq 0. \]


              • 5.

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

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

                • 6.

                  Find the value of \(x\) if \(A = B\), where

                  \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]

                    CBSE CLASS XII Previous Year Papers

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