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.

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

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


      • 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.

          Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


            • 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.

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


                  • 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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