Important Concepts Related to Distance Formula

Following are some important concepts related to distance formula

Distance between two points (x₁, y₁) and (x₂, y₂) is

• d = √(x₂ – x₁)² + (y₂ – y₁)²

Midpoint Formula:

• Midpoint = ((x₁ + x₂)/2 , (y₁ + y₂)/2)

Distance between a point and a line:

The distance between a point (x₀, y₀) and a line Ax + By + C = 0 is:

• Distance= ∣Ax₀ + By₀ + C∣/√A² + B²

Distance between parallel lines:

If two lines have equations Ax + By + C₁ = 0 and Ax + By + C₂ = 0, then the distance between them is:

• Distance= ∣C₁ − C₂∣/√A² + B²

Distance Formula is an important concept in coordinate geometry to find distance between two points or a point and a line or between two lines. This article will explain concepts related to Distance Formula and presents solved and unsolved questions based on them. These questions are essential for students for better clarity and excel in their exam