NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.2

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.

        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

        \[ 2x + y \geq 8 \]

        \[ x + 2y \geq 10 \]

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


          • 3.

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

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

            • 4.

              Evaluate :

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


                • 5.

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


                    • 6.

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

                        CBSE CLASS XII Previous Year Papers

                        Comments


                        No Comments To Show