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

デッキ「JEE Main Master Class: Calculus, Mechanics, Coordinate Geometry」の単語カード。

解答

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

解説

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

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