NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.3 Solutions 

CBSE CLASS XII Related Questions

  • 1.

    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

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


      • 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.

          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.

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

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

              • 5.

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


                  • 6.

                    Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

                      • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                      • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                      • \( \frac{2\sqrt{\cos x}}{\sin x} \)
                      • \( \frac{1}{\sin x\sqrt{\cos x}} \)
                    CBSE CLASS XII Previous Year Papers

                    Comments


                    No Comments To Show