NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.3

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Class 11 Maths NCERT Solutions Chapter 11 Conic Sections Exercise 11.3 is based on the following topics:

  • Relationship between semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse
  • Special cases of an ellipse
  • Eccentricity
  • Standard equations of an ellipse
  • Latus rectum

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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.

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


          • 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.

              Find the value of \(x\) if \(A = B\), where

              \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


                • 5.

                  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 :

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

                  • 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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