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Coordinate Geometry Class 10 PPT

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 Page 1


 Coordinate Geometry
Page 2


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


 Coordinate Geometry
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.
What is co-ordinate geometry ?
IntroductIon
Page 4


 Coordinate Geometry
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.
What is co-ordinate geometry ?
IntroductIon
?
A system of geometry where the position of points on the plane is described 
using an ordered pair of numbers.
?
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 as the Cartesian 
Coordinate Plane.
Coordinate Geometry
Page 5


 Coordinate Geometry
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.
What is co-ordinate geometry ?
IntroductIon
?
A system of geometry where the position of points on the plane is described 
using an ordered pair of numbers.
?
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 as the 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).
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FAQs on Coordinate Geometry Class 10 PPT

1. What is coordinate geometry?
Ans. Coordinate geometry is a branch of mathematics that deals with the study of geometric figures using a coordinate system. It combines algebraic techniques with geometric concepts to analyze and solve problems related to points, lines, and shapes on a coordinate plane.
2. How do you find the distance between two points in coordinate geometry?
Ans. To find the distance between two points A(x1, y1) and B(x2, y2) in coordinate geometry, we can use the distance formula: Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2) This formula calculates the square root of the sum of the squared differences in the x-coordinates and y-coordinates of the two points.
3. What is the midpoint formula in coordinate geometry?
Ans. The midpoint formula in coordinate geometry helps us find the coordinates of the point that lies exactly halfway between two given points. The formula is: Midpoint = ((x1 + x2)/2, (y1 + y2)/2) Here, (x1, y1) and (x2, y2) are the coordinates of the two given points. The midpoint formula calculates the average of the x-coordinates and y-coordinates separately to determine the midpoint.
4. How can we determine if three points are collinear in coordinate geometry?
Ans. To determine if three points A(x1, y1), B(x2, y2), and C(x3, y3) are collinear in coordinate geometry, we can use the slope formula: Slope AB = (y2 - y1) / (x2 - x1) Slope BC = (y3 - y2) / (x3 - x2) If the slopes of AB and BC are equal, then the points are collinear. This means that the lines formed by AB and BC are parallel or coincident.
5. How do you find the equation of a line in coordinate geometry?
Ans. To find the equation of a line in coordinate geometry, we can use the slope-intercept form: y = mx + c, where m is the slope of the line and c is the y-intercept (the point where the line intersects the y-axis). To find the slope, we can use the formula: Slope = (change in y-coordinates) / (change in x-coordinates) Once we have the slope, we can substitute the slope and the coordinates of a point on the line into the slope-intercept form to find the equation of the line.
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