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
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