NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercises

CBSE CLASS XII Related Questions

  • 1.

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


      • 2.

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


          • 3.

            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

            \[ 2x + y \geq 8 \]

            \[ x + 2y \geq 10 \]

            \[ x,\ y \geq 0. \]


              • 4.

                For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

                  • \(\frac{1}{2}\)
                  • \(\frac{3}{5}\)
                  • \(\frac{1}{5}\)
                  • \(\frac{3}{10}\)

                • 5.

                  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

                  • 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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