NCERT Class 10 Maths Chapter 7 Coordinate Geometry – Distance Formula & Section Formula

Coordinate Geometry is a branch of mathematics that combines algebra and geometry. It helps locate points on a plane using coordinates and provides methods to calculate distances and positions accurately.

This chapter is important for CBSE Board Exams and Competitive Exams.

What is Coordinate Geometry?

Coordinate Geometry studies geometric figures using a coordinate system. Every point on a plane is represented by an ordered pair (x, y).

Cartesian Coordinate System

The Cartesian Plane consists of:

X-Axis (Horizontal Axis)
Y-Axis (Vertical Axis)
Origin (0, 0)

The intersection of the two axes is called the origin.

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Coordinates of a Point

A point on the plane is represented as (x, y) where:

x-coordinate indicates horizontal position.
y-coordinate indicates vertical position.

This system helps identify the exact location of a point.

Distance Formula

The distance between two points on a coordinate plane can be calculated using the distance formula.

Section Formula

The section formula is used to find the coordinates of a point that divides a line segment in a given ratio.

It is useful in solving geometrical and coordinate-based problems.

Applications of Coordinate Geometry

Coordinate Geometry is used in:

Engineering
Architecture
Navigation
Computer Graphics
Mapping and Surveying

Importance of Coordinate Geometry

Connects algebra and geometry.
Helps solve geometric problems accurately.
Forms the foundation for higher mathematics.
Widely used in science and technology.

Importance for CBSE Exams

Coordinate Geometry is a scoring chapter in Class 10 Maths. Questions are frequently asked on plotting points, distance calculations, section formula, and coordinate-based applications.

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