Relations And Functions — Study Plan
KIITEE · Mathematics
Step-by-step Relations And Functions study plan for KIITEE Mathematics 2026 — structured month-wise approach to mastering this chapter.
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Study Plan for Relations And Functions
Day 1–2: Learn the Theory
Study the chapter thoroughly. Note down definitions, formulas, and key concepts.
Day 3: Practice Problems
Solve practice questions and previous year KIITEE problems. There are 348 questions available for this chapter.
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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