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Formula Sheet

Quadratic Equations

ICSE · Class 11 · Mathematics

All formulas from Quadratic Equations in ICSE Class 11 Mathematics. Key equations, constants, and identities for board exam preparation.

104 questions25 flashcards5 concepts

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An infographic explaining how the discriminant (D = b²-4ac) determines the nature of roots for a quadratic equation ax²+bx+c=0 with real coefficients, including graphical interpretations.
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17 Formulas · 4 Sections

Formulas

Core Definitions

ax^2+bx+c=0, a≠0

D=b^2-4ac

x=(-b±√(b^2-4ac))/(2a)

V(-b/(2a),-D/(4a))

Nature of Roots

D>0 → real and distinct roots

D=0 → real and equal roots

D<0 → complex and distinct roots

α=(-b+√D)/(2a), β=(-b-√D)/(2a)

Graph of a Quadratic Function

y=ax^2+bx+c

V(-b/(2a),-D/(4a))

If a>0, y_min=-D/(4a) at x=-b/(2a)

If a<0, y_max=-D/(4a) at x=-b/(2a)

Roots and Coefficient Relations

α+β=-b/a

αβ=c/a

x^2-(sum of roots)x+(product of roots)=0

1/α+1/β=(α+β)/(αβ)

α^2+β^2=(α+β)^2-2αβ

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Frequently Asked Questions

What are the important topics in Quadratic Equations for ICSE Class 11 Mathematics?
Key topics in Quadratic Equations include Quadratic Equations Concept Map, Quadratic Equations Complete Overview, Quadratic Equations Overview. These are the concepts ICSE Class 11 examiners draw on most — study them first, then practise related questions.
How to score full marks in Quadratic Equations — ICSE Class 11 Mathematics?
Understand the core concepts first, then work through the 104 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 18 chapters — ICSE Class 11 Mathematics Formula Sheet

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