NCERT Solutions for Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise

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Class 12 Maths NCERT Solutions Chapter 3 Matrices Miscellaneous Exercise Solutions is provided in this article. Chapter 3 Miscellaneous Exercise deals with the order of matrix, operations on matrices, types of matrices, and invertible matrices.

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CBSE CLASS XII Related Questions

  • 1.

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


      • 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.

          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

          • 4.

            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

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


              • 5.

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

                  • \(0.35\)
                  • \(0.85\)
                  • \(0.5\)
                  • \(0.21\)

                • 6.

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

                    CBSE CLASS XII Previous Year Papers

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