## Friday, November 7, 2008

### IIT JEE Mathematics Study Plan 17. Ellipse

Ch. 17. Ellipse Parabola-RDS-

Sections

1. Introduction

2. Equation of ellipse in its standard form

3. Second focus and second directrix of the ellipse

4. Vertices, major and minor axes, foci, directrices and centre of the ellipse

5. Ordinate, double ordinate and latus rectum of the ellipse

6. Focal distances of a point on the ellipse

7. Equation of ellipse in other forms

8. Position of a point with respect to an ellipse

9. Parametric equations and parametric coordinates

10. Equation of the chord joining any two points on an ellipse

11. Condition of a line to be a tangent to an ellipse

12. Equation of tangent in terms of its slope

13. Equation of tangent at a point

14. Number of tangents drawn from a point to an ellipse

15. Equation of normal in different forms

16. Number of normals

17. Properties of eccentric angles of the conormal points

18. Equation of the pair of tangents from a point to an ellipse

19. Equation of the chord of contacts of tangents

19a. Equation of the chord bisected at a given point

20. Equation of diameter of an ellipse

21. Some properties of ellipse

Study Plan

Day 1

1. Introduction

2. Equation of ellipse in its standard form

3.Second focus and second directrix of the ellipse

4. Vertices, major and minor axes, foci, directrices and centre of the ellipse

5. Ordinate, double ordinate and latus rectum of the ellipse

Day 2

6. focal distances of a point on the ellipse

7. equation of ellipse in other forms

Day 3

8. Position of a point with respect to an ellipse

9. Parametric equations and parametric coordinates

10. Equation of the chord joining any two points on an ellipse

11. Condition of a line to be a tangent to an ellipse

Day 4

12. Equation of tangent in terms of its slope

13. Equation of tangent at a point
Ex. 1 to 11

Day 5

14 Number of tangents drawn from a point to an ellipse

15. Equation of normal in different forms

16 Number of normals

Day 6

17. Properties of eccentric angles of the conormal points

18. Equation of the pair of tangents from a point to an ellipse

19. Equation of the chord of contacts of tangents

19a. Equation of the chord bisected at a given point

Day 7

20. Equation of diameter of an ellipse

21. Some properties of ellipse

Day 8
Illustrated Objective Type Examples 1 to 18

Day 9
Objective Type Exercises 1 to 20

Day 10
O.T.E. 21 to 40

Revision

Day 11
O.T.E. 41 to 50

Day 12
O.T.E. 51 to 60

Day 13
O.T.E. 61 to 70

Day 14
O.T.E. 71 to 73

Day 15
Concept revision

Day 16
Formula revision

Day 17 to 20
Test paper problems