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Relations And Functions — Study Plan

NDA · Mathematics

Step-by-step Relations And Functions study plan for NDA Mathematics 2026 — structured month-wise approach to mastering 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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How to Study Relations And Functions

A structured approach to studying Relations And Functions for NDA Mathematics.

Study Plan for Relations And Functions

1

Day 1–2: Learn the Theory

Study the chapter thoroughly. Note down definitions, formulas, and key concepts.

2

Day 3: Practice Problems

Solve practice questions and previous year NDA problems. There are 348 questions available for this chapter.

3

Day 4: Revise & Test

Revise key formulas and concepts without looking at notes. Take a practice quiz to test your understanding.

What to Focus On

  • A relation is a subset of Cartesian product
  • Every function is a relation, but not every relation is a function
  • Domain consists of all first elements, range consists of all second elements

  • Reflexive: every element relates to itself
  • Symmetric: if a relates to b, then b relates to a
  • Transitive: if a relates to b and b relates to c, then a relates to c

  • One-to-one: distinct inputs give distinct outputs
  • Onto: every element in codomain is mapped to
  • Bijective: both one-to-one and onto

Common Mistakes to Avoid

If a function is not one-one, then it is many-one. If a function is not onto, then it is into.

A relation R is reflexive if (a,a) ∈ R for some a ∈ A.

Domain and Range of inverse function f⁻¹ are same as domain and range of function f.

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Frequently Asked Questions

What topics are covered in Relations And Functions for NDA?
Relations And Functions is an important chapter in NDA 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 NDA?
Relations And Functions 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 Relations And Functions 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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