PPT: Coordinate Geometry

# Coordinate Geometry Class 8 PPT

Page 2

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

1. Cartesian Coordinate
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
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
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).

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

## FAQs on Coordinate Geometry Class 8 PPT

 1. What is coordinate geometry in Class 10?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometry using the principles of algebra. In Class 10, students learn about the Cartesian plane, coordinates, and how to find the distance between two points, slope of a line, and more.
 2. How can I plot points on a Cartesian plane in coordinate geometry?
Ans. To plot points on a Cartesian plane, you need to identify the x-coordinate and y-coordinate of each point. The x-coordinate represents the horizontal position, and the y-coordinate represents the vertical position. Once you have the coordinates, you can mark the point on the plane and connect multiple points to form lines or shapes.
 3. How do I find the distance between two points in coordinate geometry?
Ans. To find the distance between two points (x1, y1) and (x2, y2) in coordinate geometry, you can use the distance formula: Distance = √((x2 - x1)^2 + (y2 - y1)^2) Simply substitute the x and y values of the two points into the formula and evaluate it to find the distance.
 4. What is slope in coordinate geometry and how can I calculate it?
Ans. Slope is a measure of the steepness of a line. In coordinate geometry, the slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula: Slope = (y2 - y1) / (x2 - x1) The slope can be positive, negative, or zero, indicating the direction and steepness of the line.
 5. How can I find the equation of a line using coordinate geometry?
Ans. To find the equation of a line in coordinate geometry, you need to know either the slope and a point on the line or two points on the line. If you know the slope (m) and a point (x1, y1), you can use the point-slope form: y - y1 = m(x - x1) If you know two points (x1, y1) and (x2, y2), you can use the slope-intercept form: y = mx + b where m is the slope and b is the y-intercept, which can be found by substituting the coordinates of one of the points into the equation.

## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests

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