NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.4

CBSE CLASS XII Related Questions

  • 1.

    Find the value of \(x\) if \(A = B\), where

    \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


      • 2.

        Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


          • 3.

            For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :

            Minimize \(Z = 18x + 10y\)

            subject to constraints

            \[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]


              • 4.

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


                  • 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.

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

                        CBSE CLASS XII Previous Year Papers

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