Friday, November 7, 2008

IIT JEE Study Guide 13. Cartesian System of Coordinates and Straight Lines - Revision Facilitator

1. Introduction

2. Catesian coordinate system

3. Distance between two points

4. Area of a triangle

5. Section Formulae

6. coordinates of the centroid, in-centre, and ex centre of a triangle

7. Locus and equation to a locus

8. Shifting of origin

9. Rotation of axes

10. Definition of a straight line

11. Slope (Gradient) of a straight line

12. Angle between two straight lines

13. Intercepts of a line on the axes

14. Equations of lines parallel to the coordinate axes

15. Different forms of the equation of a straight line

16. Transformation of general equation in different standard forms

17. point of intersection of two lines

18. Coordination of concurrency of three lines

19. Lines parallel and perpendicular to a given line

20. Angle between two straight lines when their equations are given.

21. Distance of a point from a line

22. Positions of points relative to a line

23. Equations of straight lines passing through a given point and making a given angle with a given line

24. Equations of the bisectors of the angles between two straight lines

25. Some important points of a triangle

26. Family of lines through the intersection of two given lines

Study Plan

Day 1

1. Introduction

2. Catesian coordinate system

3. Distance between two points

Day 2

4. Area of a triangle

5. Section Formulae

6. coordinates of the centroid, in-centre, and ex centre of a triangle

Day 3

7. Locus and equation to a locus

8. Shifting of origin

Day 4

9. Rotation of axes

10. Definition of a straight line

11. Slope (Gradient) of a straight line

12. Angle between two straight lines

Day 5

13. Intercepts of a line on the axes

14. Equations of lines parallel to the coordinate axes

15. Different forms of the equation of a straight line

Day 6

16. Transformation of general equation in different standard forms

17. point of intersection of two lines

18. Coordination of concurrency of three lines

Day 7

19. Lines parallel and perpendicular to a given line

20. Angle between two straight lines when their equations are given.

21. Distance of a point from a line

Day 8

22. Positions of points relative to a line

23. Equations of straight lines passing through a given point and making a given angle with a given line

Day 9

24. Equations of the bisectors of the angles between two straight lines

25. Some important points of a triangle

26. Family of lines through the intersection of two given lines - Up to Example 10

Day 10
26. Family of lines through the intersection of two given lines - Examples 21 to 30

Day 11
Illustrative Objective Type Examples 1 to 19

Day 12
Objective Type Exercise 1 to 20

Day 13
O.T.E. 21 to 40

Day 14
O.T.E. 41 to 60

Day 15
O.T.E. 61 to 80

Revision Period - 30 minutes a day

Day 16
O.T.E. 81 to 90

Day 17
O.T.E. 91 to 100

Day 18
O.T.E. 101 to 110

Day 19
O.T.E. 111 to 120

Day 20
O.T.E. 121 to 130

Day 21
O.T.E. 131 to 142

Day 22
Fill in the blanks type exercise 1 to 10

Day 23
Fill in the blanks type exercise 11 to 20

Day 24
Fill in the blanks type exercise 21 to 30

Day 25
Fill in the blanks type exercise 31 to 40

Day 26
True of False Exercise 1 to 19

Day 27
Practice Exercise 1 to 10

Day 28
Practice Exercise 11 to 20

Day 29
Practice Exercise 21 to 30

Day 30
31 to 41

Should you compulsorily do every problem. Not necessary. If you feel, you know how to do it, you can always skip some problems. But make a note of all difficult problems. You may have to a relook at them sometimes more to remember the complication or complexity in that problem.

Try to recollect relevant points on the topic.

If required right click on the topic and click on open in a new window to read the relevant material.

Close the window and come back.

Euclidean Geometry and Analytic Geometry - Difference

Distance between two points

Area of a triangle

Section Formulae

coordinates of the centres related to triangle

Definition of a straight line

Slope (Gradient) of a straight line

Angle between two straight lines

Intercepts of a line on the axes

Joint equation of a pair of straight lines