Ex 1.3, 11 - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Finding Inverse
Identity Function
You are here
You are here
Chapter 1 Class 12 Relation and Functions
Concept wise
- Relations - Definition
- Empty and Universal Relation
- To prove relation reflexive, transitive, symmetric and equivalent
- Finding number of relations
- Function - Definition
- To prove one-one & onto (injective, surjective, bijective)
- Composite functions
- Composite functions and one-one onto
-
Finding Inverse
- Inverse of function: Proof questions
- Binary Operations - Definition
- Whether binary commutative/associative or not
- Binary operations: Identity element
- Binary operations: Inverse
Transcript
Ex 1.3, 11 Consider : {1, 2, 3} {a, b, c} given by (1) = a, (2) = b and (3) = c. Find 1 and show that 1 1 = . : {1, 2, 3} {a, b, c} is given by, (1) = a, (2) = b, and (3) = c Finding So, = {(1, a) ,(2, b) ,(3, c)} = {(a, 1) ,(b, 2) ,(c, 3)} Hence, (a) = 1, (b) = 2, and (c) = 3 Now, 1 = {(a, 1) ,(b, 2) ,(c, 3)} = {(1, a) ,(2, b) ,(3, c)} = Hence, 1 1 =
