The Length of the Perpendicular From a Given Point to a Given Straight Line
To find the length of perpendicular from point to straight line, we use the standard distance formula in coordinate geometry. This is a key concept in analytic geometry and frequently appears in Class 10/11/12 exams.
Given
A point (x₁, y₁) and a straight line in the form:
Ax + By + C = 0
Perpendicular Distance Formula
The length of the perpendicular from the point (x₁, y₁) to the straight line Ax + By + C = 0 is given by:
Distance = |Ax₁ + By₁ + C| / √(A² + B²)
This distance formula comes from the idea of projecting the point onto the line using perpendicular geometry.
The Length of the Perpendicular From a Given Point to a Given Straight Line
Keywords
length of perpendicular from point to straight line, perpendicular distance formula, coordinate geometry, Ax+By+C=0, distance from point to line, Class 10 math, Class 11 math, Class 12 math, exam math, geometry notes, analytic geometry, distance formula
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perpendicular distance, point to line, coordinate geometry, Ax+By+C, Class 10, Class 11, Class 12, math notes, exam question, analytic geometry, geometry formula, aklearningnepal, education,The Length of the Perpendicular From a Given Point to a Given Straight Line
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The Length of the Perpendicular From a Given Point to a Given Straight Line