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Chapter 18 of 27
Formula Sheet

Straight LinesFormula Sheet

NDA · Mathematics

All important formulas from Straight Lines for NDA 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 NDA 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 NDA?
Straight Lines is an important chapter in NDA 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 NDA?
Straight Lines is a frequently tested chapter in NDA 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 NDA?
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 NDA Mathematics.