Maths · Class 12 · Chapter 1

Relations and Functions

10 lessons99 min2 simulations

Class XI met relations and functions as sets of ordered pairs. This chapter sorts them by type: relations on a set that are reflexive, symmetric or transitive, the equivalence relations that split a set into classes, and functions that are one-one, onto or both. It ends with composing two functions and with the exact condition for a function to have an inverse, which the next chapter uses to build the inverse trigonometric functions.

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Lessons

10 lessons · 99 min

01Empty and universal relationsNCERT §1.29 min 02Reflexive, symmetric and transitiveNCERT §1.29 min 03Equivalence relationsNCERT §1.212 min1 sim 04Equivalence classesNCERT §1.28 min 05One-one functionsNCERT §1.38 min 06Onto and bijective functionsNCERT §1.312 min1 sim 07Finite sets and countingNCERT §1.39 min 08Composition of functionsNCERT §1.48 min 09Invertible functionsNCERT §1.49 min 10Chapter reviewMust-know facts, traps and formulas15 min

Simulations

2 in this chapter

Build a relation on {1, 2, 3}In: Equivalence relations One-one, onto, or both?In: Onto and bijective functions