NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.2

CBSE CLASS XII Related Questions

  • 1.

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

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

    • 2.

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

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


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


                • 5.

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

                    • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                    • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                    • \( \frac{2\sqrt{\cos x}}{\sin x} \)
                    • \( \frac{1}{\sin x\sqrt{\cos x}} \)

                  • 6.

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

                      CBSE CLASS XII Previous Year Papers

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