Coordinate Geometry
- Introduction
- Cartesian System
- Plotting a Point in the Plane if its Coordinates are Given and
- Summary
The position of an object on a plane can be defined with the help of coordinate geometry.
What are coordinates?
Consider a plane which is continuous in both the directions. One direction can be defined as rows and the other as columns. The object can be written as D3. The letter and the numerical are called as coordinates of the box. It helps in defining a place where the lines intersect.
The Coordinate Plane: A surface with two scales one across the plane which is x-axis and the other plane which is perpendicular to x-axis is y-axis.
x-axis, values to the right are positive and to the left are negative.
y-axis, values above the origin are positive and below are negative.
The center point is referred as origin. The position of the object is pointed with the number value on axis and on y –axis. The values of x and y are the co-ordinates of the object and is also called as “rectangular coordinates”. The first co-ordinate represents value of x-axis.
Importance of Coordinate Geometry
Coordinate geometry can be helpful in following situations
- Calculating distance between the co-ordinates
- Determination of slope and equation of the line segment
- Determine lies parallel or perpendicular
- Equations of curves, circles and ellipses.
You can also download the NCERT solutions for class 9 maths chapter 3 pdf, Coordinate Geometry. Solve the questions as given at the end of the chapter to master the subject.
