NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.2

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.

        Evaluate :

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


          • 3.

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

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


              • 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.

                      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
                      CBSE CLASS XII Previous Year Papers

                      Comments


                      No Comments To Show