What is Coordinate Geometry?

In the field of mathematics known as coordinate geometry, geometric figures are studied using coordinates. It also goes by the name of analytical geometry.

• Determine the distance between two points
• Determine the point which divides the line in ratio m:n
• Locate the midpoint of a line segment
• Determine the area of a triangle using three coordinate points

Coordinate geometry is a powerful tool that can be used to solve a wide variety of geometric problems. Let’s learn about it in this article.

x-Coordinate or Abscissa

The horizontal separation between a point and the origin, which is the point where the x- and y-axes connect, is known as the x-coordinate. It is also called the abscissa.

y-Coordinate or Ordinate

The y-coordinate, on the other hand, represents the vertical distance of a point from the origin. It is also called the ordinate.

Cartesian Plane

• In the Cartesian plane (also known as the xy-plane or rectangular coordinate system), all points are represented as ordered pairs (x, y), where x represents the x-coordinate and y represents the y-coordinate.
• Points to the right of the y-axis have positive x-coordinates, indicating they are situated in the positive x-direction. Points left of the y-axis, on the other hand, have negative x-coordinates, indicating that they are situated in the negative x-direction.
• For y-coordinates, points located above the x-axis have positive values, indicating they are in the positive y-direction.
• Points lying on the x-axis have a y-coordinate of zero since their vertical distance from the origin is zero. Similarly, points lying on the y-axis have an x-coordinate of zero since their horizontal distance from the origin is zero.
• The origin, with coordinates (0, 0), serves as the reference point for the Cartesian plane. Points below the x-axis have negative y-coordinates, indicating that they are in the y-direction.

CBSE Class 10 Maths Notes Chapter 7 Coordinate Geometry are provided to support student’s education. We believe that students’ learning and development are of the utmost importance, and that’s why we have created these comprehensive notes to help them comprehend the complex subject of Coordinate Geometry better.

The NCERT Class 10 Maths textbook’s Chapter 7 explores the realm of Coordinate Geometry and covers various concepts such as distance formula, section formula, and more. Our notes aim to provide students with a complete summary of the entire chapter, including all essential topics, formulae, and concepts necessary to succeed in their exams.