Relations and Functions: Class 12 Mathematics (UP Board) important questions and practice
Relations and Functions is chapter 1 of 13 in UP Board Class 12 Mathematics. Below are the topics the paper draws from, the question types that come up again and again, and a free practice test on this chapter alone.
Topics in this chapter
- Types of relations: reflexive, symmetric, transitive, equivalence
- Equivalence classes
- Types of functions: one-one, onto, bijective
- Checking injectivity and surjectivity of given functions
- Number of relations and functions (counting)
What examiners usually ask
- Show that the relation R in the set of integers defined by R = {(a, b): 2 divides a - b} is an equivalence relation
- Show that f: N to N given by f(x) = 2x is one-one but not onto
- Check whether f: R to R defined by f(x) = x^3 is bijective
Exam tip
Prove each property (reflexive, symmetric, transitive) in a separate labelled step with a general element, and for onto arguments show that every element of the codomain has a pre-image or give one counterexample; composite and inverse functions were removed from CBSE.
Relations and Functions on other boards and exams
Frequently asked questions
What are the important questions from Relations and Functions for UP Board Class 12?
The question types listed above repeat most often in UP Board Class 12 Mathematics papers for this chapter. Practise them with the chapter test and then attempt them inside a full previous-year paper under time.
Is Relations and Functions in the UP Board Class 12 Mathematics syllabus?
Yes. Relations and Functions is part of the current UP Board Class 12 Mathematics syllabus, as listed on this site from the prescribed textbook.
Can I practise Relations and Functions MCQs in Hindi?
Yes. The chapter test and explanations are available in Hindi and English, with an AI doubt solver for any question.