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Chapter 18 of 27
Formula Sheet

Straight LinesFormula Sheet

AIIMS Paramedical · Mathematics

All important formulas from Straight Lines for AIIMS Paramedical Mathematics. Quick reference for revision and problem solving.

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A labeled diagram showing the x-axis, y-axis, origin, and a point (x, y) in the first quadrant, illustrating the basic setup of a Cartesian coordinate system.
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Formula Sheet — Straight Lines

Important formulas and equations from Straight Lines for AIIMS Paramedical Mathematics.

Formulas — Straight Lines

Distance and Section Formula

d = √[(x₂-x₁)² + (y₂-y₁)²]
Internal: ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
External: ((mx₂-nx₁)/(m-n), (my₂-ny₁)/(m-n))
Midpoint: ((x₁+x₂)/2, (y₁+y₂)/2)

Slope and Inclination

m = tan θ
m = (y₂-y₁)/(x₂-x₁)
tan θ = |m₂-m₁|/|1+m₁m₂|

Equations of Straight Line

y - y₁ = m(x - x₁)
y = mx + c
x/a + y/b = 1
(y-y₁)/(y₂-y₁) = (x-x₁)/(x₂-x₁)
x cos α + y sin α = p

Distance from Point to Line

d = |Ax₁ + By₁ + C|/√(A² + B²)
d = |c₁ - c₂|/√(1 + m²)
d = |C₁ - C₂|/√(A² + B²)

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Frequently Asked Questions

What topics are covered in Straight Lines for AIIMS Paramedical?
Straight Lines is an important chapter in AIIMS Paramedical Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Distance Formula, Slope of a Line and Angle Between Lines, Equation of a Straight Line - Various Forms, General Equation and Line Transformations.
How important is Straight Lines for AIIMS Paramedical?
Straight Lines is a frequently tested chapter in AIIMS Paramedical Mathematics. Questions from this chapter appear regularly in previous year papers. There are 348 practice questions available for this chapter.
How to prepare Straight Lines for AIIMS Paramedical?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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Practice questions, revision notes, formula sheet and AI doubt-solver for AIIMS Paramedical Mathematics.