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.

    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.

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


        • 3.

          Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


            • 4.

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

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

              • 5.

                If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that

                \[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]


                  • 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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