Coordinate Geometry Class 10 PPT

 Page 2


1. Cartesian Coordinate 
system and Quadrants
2. Distance formula
3. Area of a triangle
4. Section formula
Objectives
Page 3


1. Cartesian Coordinate 
system and Quadrants
2. Distance formula
3. Area of a triangle
4. Section formula
Objectives
• The use of algebra to study 
geometric properties i.e. 
operates on symbols is defined 
as the coordinate system.
INTRODUCTION
What is co-ordinate geometry ?
Page 4


1. Cartesian Coordinate 
system and Quadrants
2. Distance formula
3. Area of a triangle
4. Section formula
Objectives
• The use of algebra to study 
geometric properties i.e. 
operates on symbols is defined 
as the coordinate system.
INTRODUCTION
What is co-ordinate geometry ?
? Asystemo f g e o m etry w her ethepositio no f po ints o n the plane isd es c rib e d  
us ingan o r d er ed pairo f num b e rs .
? The method of describing the location of points in this way was
? proposed by the French mathematician René Descartes .
? He proposed further that curves and lines could be described by  
equations using this technique, thus being the first to link
algebra and geometry .
? In honor of his work, the coordinates of a point are often referred to as 
its Cartesian coordinates, and the coordinate plane asthe Cartesian 
Coordinate Plane.
Coordinate Geometry
Page 5


1. Cartesian Coordinate 
system and Quadrants
2. Distance formula
3. Area of a triangle
4. Section formula
Objectives
• The use of algebra to study 
geometric properties i.e. 
operates on symbols is defined 
as the coordinate system.
INTRODUCTION
What is co-ordinate geometry ?
? Asystemo f g e o m etry w her ethepositio no f po ints o n the plane isd es c rib e d  
us ingan o r d er ed pairo f num b e rs .
? The method of describing the location of points in this way was
? proposed by the French mathematician René Descartes .
? He proposed further that curves and lines could be described by  
equations using this technique, thus being the first to link
algebra and geometry .
? In honor of his work, the coordinates of a point are often referred to as 
its Cartesian coordinates, and the coordinate plane asthe Cartesian 
Coordinate Plane.
Coordinate Geometry
SOME BASIC POINTS
? To locate the position of a point on a plane,we 
require a pair of coordinate axes.
? The distance of a point from the y-axis is called its 
x-coordinate,OR abscissa.
? The distance of a point from the x-axis is called its 
y-coordinate,OR ordinate.
?The coordinates of a point on the x-axis are 
of the form (x, 0) and of a point on the y-axis 
are of the form (0, y).