1. The Ellipse

4. a b

5. b a

6. 3 4

7. When the size of a becomes the same as b, we get a circle.

8. Definition: is the locus of all points which meet the condition... sum of distances to each focus is constant

10. c is the focus Relation to the focus:

11. a b c a

13. Sketch the following graphs

14. Write the equation of this ellipse.

16. Parametric equations of the ellipse Eliminate to obtain the equation of the ellipse

17. Parameter

18. Write down the parametric equations for these ellipses

19. Find the equation of the tangent to the ellipse at the point where

20. A line tangent to an ellipse at a point P makes equal angles with the lines through P and the foci.

21. It follows that a ray of light emanating from one focus of an ellipse will be reflected through the other focus.

30. A point moves so that the sum of its distances from the two points (1, 1) and (3, 1) is always 10. Find the equation of the locus of the point.

31. Homework  Exercises 13.5, 13.6  Delta Exercise 14.1  Number 7 onwards