NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises are based on 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.

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

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

      • 3.

        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

        \[ 2x + y \geq 8 \]

        \[ x + 2y \geq 10 \]

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


          • 4.

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

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


              • 5.

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

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

                • 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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