**Level:** F.Sc (Pre-Engg)**Class:** 2nd Year**Board:** Punjab Textbook Board**Subject:** Mathematics**Chapter No.6:** Conic Section**Exercise:** 6.5**Type:** Solution Notes**Author:** Prof. Ahmad Ali**Pages:** 18**PDF Size:** 9.33 MB

**In this exercise we will read these topics:**

- Define ellipse.
- The fixed point is called the focus.
- Define the diameters of an ellipse.
- Define major axis of an ellipse and length of major axis.
- Define minor axis of an ellipse and length of minor axis.
- Define directrices of an ellipse.
- Define the Foci of an ellipse.
- Define vertices of an ellipse.
- Define co-vertices of an ellipse.
- Define chord of an ellipse.
- Define focal chord of an ellipse.
- Define latus rectum and length of latus rectum of an ellipse.
- Define center of an ellipse.
- Define semi-major axis and semi-minor axis of an ellipse.
- Write the parametric equations of an ellipse.
- Derive the equation of directrix of an ellipse.
- Derive the standard equation of ellipse.
- Prove that circle is a special case of an ellipse.