Topics of the chapter
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
Revision Points
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
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