AdaAda

Start / Bibliothek / JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry / Synthetische Lernkarte

What is the perpendicular distance from point $(x_1, y_1)$ to the straight line $Ax + By + C = 0$?

Lernkarte aus dem Deck JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry.

Antwort

$d = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$.

Erklärung

The distance between two parallel lines $Ax + By + C_1 = 0$ and $Ax + By + C_2 = 0$ is $d = \frac{|C_1 - C_2|}{\sqrt{A^2 + B^2}}$.

Synthetischer Inhalt · Redaktion: Ada