NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.3

Collegedunia Team logo

Collegedunia Team

Content Curator

CBSE CLASS XII Related Questions

  • 1.

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


      • 2.

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

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

        • 3.

          Evaluate :

          \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


            • 4.

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


                • 5.

                  The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

                    • \( -6 \) unit/sec
                    • \( 0 \) unit/sec
                    • \( 18 \) unit/sec
                    • \( 6 \) unit/sec

                  • 6.

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

                      • \( \log \cos 2x + C \)
                      • \( \sec^{2} 2x + C \)
                      • \( e^{x}\tan x + C \)
                      • \( e^{x}\cot x + C \)
                    CBSE CLASS XII Previous Year Papers

                    Comments


                    No Comments To Show