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Formula Sheet

Sets, Relations and Functions — Formula Sheet

Telangana Open School (TOSS) · Class 12 · Mathematics

11 formulas from Sets, Relations and Functions (Telangana Open School (TOSS) Class 12 Mathematics) on one page, grouped by topic.

49 questions30 flashcards11 formulas & key relations5 concepts

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11 Entries · 5 Sections

Formulas and Key Relations

Sets and Cartesian Product

A × B = {(a, b) | a ∈ A, b ∈ B}

Relations

R ⊆ A × B

Functions

f: A → B

f(x₁) = f(x₂) ⇒ x₁ = x₂

Range = Co-domain

Special Functions

f(x) = |x|

f(x) = [x]

f(x) = e^x

f(x) = log x

Key relations

A function f(x) is even if f(−x) = f(x), e.g., f(x) = x².

It is odd if f(−x) = −f(x), e.g., f(x) = x³.

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Frequently Asked Questions

What are the important topics in Sets, Relations and Functions for Telangana Open School (TOSS) Class 12 Mathematics?
Key topics in Sets, Relations and Functions include Sets and Cartesian Product, Relations and Functions, Types of Functions, Function Operations and Inverses. Study these first, then practise questions on each for the Telangana Open School (TOSS) Class 12 board exam.
How many formulas are in Sets, Relations and Functions?
This sheet lists 11 formulas from Sets, Relations and Functions, grouped by topic. Learn what each symbol stands for so you can apply the formula, not just recall it.
How should I revise Sets, Relations and Functions for the Telangana Open School (TOSS) Class 12 board exam?
Learn the core ideas first, then work through the 49 practice questions on Sets, Relations and Functions. Revise 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.

More resources for Sets, Relations and Functions

All Telangana Open School (TOSS) Class 12 Mathematics Formula Sheet

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