Straight Lines coordinate geometry ka core hai — slope, line ke forms aur distance formulas yahan cover hote hain. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.
Important Formulas & Concepts — Straight Lines
- Slope m = (y₂−y₁)/(x₂−x₁) = tanθ
- Point-slope: y − y₁ = m(x − x₁)
- Two-point form, slope-intercept: y = mx + c
- Intercept form: x/a + y/b = 1
- Normal form: x·cosω + y·sinω = p
- Angle between lines: tanθ = |(m₁−m₂)/(1+m₁m₂)|
- Distance from point: d = |ax₁+by₁+c|/√(a²+b²)
- Parallel lines distance: |c₁−c₂|/√(a²+b²)
Quick Revision Points
- Parallel: m₁ = m₂; perpendicular: m₁m₂ = −1
- Collinear points: slopes equal ya area = 0
- Foot of perpendicular aur image ke formulas rato
- Concurrent lines: teeno ka common point
- Line family: L₁ + λL₂ = 0 passing through intersection
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