Perpendicular distance of a point from a lineएक बिंदु की रेखा से लांबिक दूरीPerpendicular distance of a point from a line

Section 9.4 · Class 11 Maths Ch 9 · interactive diagram

Parts and what they mean

• Point P(x₁, y₁) (बिंदु P(x₁, y₁)) — The given point, not on the line.
• Line Ax + By + C = 0 (रेखा Ax + By + C = 0) — Write the line in general form first — everything on one side, = 0.
• Distance d (दूरी d) — The SHORTEST distance from P to the line is along the perpendicular PM.
• Foot of perpendicular M (लंब का पाद M) — PM meets the line at a right angle. Ex 9.3 Q13 finds such a foot.
• Distance formula (दूरी का सूत्र) — d = |Ax₁ + By₁ + C| / √(A² + B²). For parallel lines Ax + By + C₁ = 0, Ax + By + C₂ = 0: d = |C₁ − C₂| / √(A² + B²).

Original diagram drawn by Simple Learning Hub for NCERT Class 11 Maths Ch 9. Report a mistake