NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.3

CBSE CLASS XII Related Questions

  • 1.

    The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

      • \( -6 \) unit/sec
      • \( 0 \) unit/sec
      • \( 18 \) unit/sec
      • \( 6 \) unit/sec

    • 2.

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


        • 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.

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

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

                  • 6.

                    If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                      • \(0.35\)
                      • \(0.85\)
                      • \(0.5\)
                      • \(0.21\)
                    CBSE CLASS XII Previous Year Papers

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