NCERT Solutions for Class 11 Maths Chapter 5 Exercise 5.3

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Exercise 5.3 is based on Quadratic Equations.

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CBSE CLASS XII Related Questions

  • 1.

    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

    \[ 2x + y \geq 8 \]

    \[ x + 2y \geq 10 \]

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


      • 2.

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

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

        • 3.

          Evaluate :

          \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


            • 4.

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


                • 5.

                  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

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


                    • 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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