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Syllabus

Relations And FunctionsSyllabus

MHT-CET · Mathematics

Free Relations And Functions syllabus for MHT-CET Mathematics 2026 — topics covered, weightage, and preparation priorities for this chapter.

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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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Relations And Functions — Syllabus & Topics

Topics covered in Relations And Functions for MHT-CET Mathematics.

Topics in Relations And Functions

1

1.2 Types of Relations - Problem-Solving Approach

  • A relation R from set A to B is a subset of A × B, i.e., R ⊆ A × B
  • Domain of R = {a ∈ A : (a,b) ∈ R for some b ∈ B}
  • Range of R = {b ∈ B : (a,b) ∈ R for some a ∈ A}
2

1.3 Types of Functions - Step-by-Step Analysis

  • A function f: A → B assigns exactly one element in B to each element in A
  • Functions can be one-one (injective), onto (surjective), or bijective (both)
  • Total functions from A to B = [n(B)]^[n(A)]
3

1.4 Composition and Invertible Functions - Advanced Problem Solving

  • Composition (g∘f)(x) = g(f(x)) - apply f first, then g
  • Composition is associative: f∘(g∘h) = (f∘g)∘h but generally not commutative
  • Function has inverse if and only if it is bijective

Key Concepts

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Frequently Asked Questions

What topics are covered in Relations And Functions for MHT-CET?
Relations And Functions is an important chapter in MHT-CET 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 MHT-CET?
Relations And Functions is a frequently tested chapter in MHT-CET Mathematics. Questions from this chapter appear regularly in previous year papers. There are 348 practice questions available for this chapter.
How to prepare Relations And Functions for MHT-CET?
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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