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Relations And Functions — Formula Sheet

AIIMS Paramedical · Mathematics

All important formulas from Relations And Functions for AIIMS Paramedical Mathematics. Quick reference for revision and problem solving.

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A visual representation of a relation R from set A to set B as a subset of the Cartesian product A x B, showing elements of A mapped to elements of B.
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Formula Sheet — Relations And Functions

Important formulas and equations from Relations And Functions for AIIMS Paramedical Mathematics.

Formulas — Relations And Functions

Basic Definitions and Concepts

Total Relations from A to B = 2^(mn)
Total Functions from A to B = n^m
Onto Functions = n^m - C(n,1)(n-1)^m + C(n,2)(n-2)^m - ... + (-1)^(n-1)C(n,n-1)1^m

Types of Relations

Types of Functions

Composition and Inverse Functions

(gof)(x) = g(f(x))
f⁻¹(y) = x ⟺ f(x) = y
(fog)⁻¹ = g⁻¹of⁻¹

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Frequently Asked Questions

What topics are covered in Relations And Functions for AIIMS Paramedical?
Relations And Functions is an important chapter in AIIMS Paramedical Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: 1.2 Types of Relations - Problem-Solving Approach, 1.3 Types of Functions - Step-by-Step Analysis, 1.4 Composition and Invertible Functions - Advanced Problem Solving.
How important is Relations And Functions for AIIMS Paramedical?
Relations And Functions is a frequently tested chapter in AIIMS Paramedical Mathematics. Questions from this chapter appear regularly in previous year papers. There are 308 practice questions available for this chapter.
How to prepare Relations And Functions 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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