Friday, November 7, 2008

IIT JEE Mathematics Study Plan 15. The Circle

Sections in the chapter

1. Definition
2. Standard equation of a circle
3. Some particular cases of the central form of the equation of a circle
4. General equation of a circle
5. Equation of a circle when the co-ordinates of end points of a diameter are given
6. Intercepts on the axis
7. Position of a point with respect to a circle
8. Equation of a circle in parametric form
9. Intersection of a straight line and a circle
10. The length of the intercept cut off from a line by a circle
11. Tangent to a circle at a given point.
12. Normal to a circle at a given point
13. Length of the tangent from a point to a circle
14. Pair of tangents drawn from a point to a given circle
15. Combined equation of pair of tangents
16. Director circle and its equation
17. Chord of contact of tangents
18. Pole and polar
19. Equation of the chord bisected at a given point
20. Diameter of a circle
21. Common tangents to two circles
22. Common chord of two circles
23. Angle of intersection of two curves and the condition of orthogonality of two circles.
24. Radical axis
25. Equation of a circle through the intersection of a circle and line
26. Circle through the intersection of two circles
27. Coaxial system of circles

Study Plan

Sections in the chapter

Day 1

1. Definition
2. Standard equation of a circle
3. Some particular cases of the central form of the equation of a circle
4. General equation of a circle

Day 2

5. Equation of a circle when the co-ordinates of end points of a diameter are given
6. Intercepts on the axis
7. Position of a point with respect to a circle
8. Equation of a circle in parametric form

Day 3

9. Intersection of a straight line and a circle
10. The length of the intercept cut off from a line by a circle
Illustrative Objective Type Examples: 1 to 8

Day 4

11. Tangent to a circle at a given point.
12. Normal to a circle at a given point
13. Length of the tangent from a point to a circle

day 5

14. Pair of tangents drawn from a point to a given circle
15. Combined equation of pair of tangents
16. Director circle and its equation
17. Chord of contact of tangents

Day 6

18. Pole and polar
19. Equation of the chord bisected at a given point
20. Diameter of a circle
21. Common tangents to two circles

Day 7
Concept revision
I.O.T.E. 7 to 25 (If some problems cannot be understood leave them for later days)

Day 8

22. Common chord of two circles
23. Angle of intersection of two curves and the condition of orthogonality of two circles.
24. Radical axis

Day 9
25. Equation of a circle through the intersection of a circle and line
26. Circle through the intersection of two circles
27. Coaxial system of circles

Day 10
I.O.T.E. 26 to 53

Revision Period

Day 11

Objective Type Exercises 1 to 10

Day 12
Objective Type Exercises 11 to 20

Day 13
Objective Type Exercises 21 to 30

Day 14
Objective Type Exercises 31 to 40


Day 15
Objective Type Exercises 41 to 50


Day 16
Objective Type Exercises 51 to 60


Day 17
Objective Type Exercises 61 to 70


Day 18
]Objective Type Exercises 71 to 80


Day 19
Objective Type Exercises 81 to 90


Day 20
Objective Type Exercises 91 to 100

Special task remaining problems

1 comment:

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