What is Distance Formula in Coordinate Geometry?
Distance Formula in coordinate geometry is an important mathematical formula to calculate the distance between two points, two lines, two planes, a point, and a line, and a line and a plane. For instance, Distance Formula can be used to calculate the distance between two points of the let’s say XY plane. An ordered pair (x, y) represents the coordinate of the point, where the x-coordinate is defined as the distance of the point from the x-axis and the y-coordinate is the distance of the point from the y-axis. The x coordinate of the point is known as the abscissa whereas the y coordinate is known as the ordinate.
Distance Between Two Points Formula Definition
Distance formula is a mathematical formula used to calculate the distance between two points in a two-dimensional or three-dimensional space. It is a fundamental concept in geometry and can be applied in various fields, including physics, engineering, and computer science.
The lengths of the sides of triangles are also computed using the distance formula. The type of triangle, scalene, isosceles or equilateral can also be determined using the distance formula.
Distance Formula in Coordinate Geometry
Distance Formula in Coordinate Geometry is used to compute the distance between two points, a point, and a line, and two line segments. The distance formula is based on the Pythagorean theorem. In the formula, d represents the distance, y2 is the y-coordinate of the second point, y1 is the y-coordinate of the first point, x2 is the x-coordinate of the second point, and x1 is the x-coordinate of the first point.
Coordinate geometry, commonly referred to as analytic geometry or Cartesian geometry, is a branch of geometry based on a coordinate system. Its applications include physics, engineering, air travel, rocketry, space research, and spaceflight.
In this article, we will learn about the distance between two points in coordinate geometry, the formula for the distance between two points, a point, a line, a point and a plane, and others in detail.
Table of Content
- What is Distance Formula in Coordinate Geometry?
- Coordinate Distance Calculator
- Distance Between Two Points Formula
- Distance Formula Between Two Points in 2D
- Distance Formula Between Two Points in 3D
- Distance between Two Points in Polar Co-ordinates
- Distance Formula Between a Point and a Line
- Distance Between Two Lines
- Distance From a Point To a Plane
- Distance Between Two Parallel Planes
- Applications of Distance Formula in Coordinate Geometry
- Solved Questions on Distance Formula in Coordinate Geometry
- Practice Problems on Distance Formula in Coordinate Geometry
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