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Straight Lines: One-Page Formula Sheet

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Last updated: 26 October 2026

Direct answer

The 4 formulas you need for Straight Lines, on one page.

For explanations and lectures, see the full topic page. Then test yourself with 9 JEE Main 2026 PYQs.

Formula sheet

Straight Lines formulas

Straight Lines — formula sheet

Formulas

  • Slope m = (y₂ − y₁)/(x₂ − x₁)
  • Distance from (x₁, y₁) to ax + by + c = 0: |ax₁ + by₁ + c|/√(a² + b²)
  • tanθ = |(m₁ − m₂)/(1 + m₁m₂)|
  • Distance between parallel lines: |c₁ − c₂|/√(a² + b²)

Key ideas

  • Parallel lines have equal slopes; perpendicular slopes multiply to −1
  • Family of lines through intersection: L₁ + λL₂ = 0
  • Distance of a point from a line
  • Centroid, incentre, orthocentre basics

Traps to avoid

  • Ignoring vertical lines (undefined slope)
  • Sign errors in distance formula
  • Missing the second angle bisector

jeevisionary.in/jee-topics/maths/straight-lines/

FAQs

Frequently asked questions

Where can I get a Straight Lines formula sheet PDF for free?

On this page. Use the print button and choose 'Save as PDF'.

How should I use a formula sheet?

Read it once a day for a week, then cover it and write the formulas from memory. Revise only the ones you missed.

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