NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.1

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.1 is based on following concepts:

  • Complex Numbers
  • Algebra of Complex Number
  • Modulus and the Conjugate of a Complex Number

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CBSE CLASS XII Related Questions

  • 1.

    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

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


      • 2.

        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

        \[ 2x + y \geq 8 \]

        \[ x + 2y \geq 10 \]

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


          • 3.

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


              • 4.

                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

                • 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.

                    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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