NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.1

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.

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


        • 3.

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

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


            • 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.

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


                    • 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

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