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Last updated at May 29, 2018 by Teachoo

Transcript

Ex 1.1, 16 Let R be the relation in the set N given by R = {(a, b): a = b 2, b > 6}. Choose the correct answer. (A) (2, 4) R (B) (3, 8) R (C) (6, 8) R (D) (8, 7) R R = {(a, b): a = b 2, b > 6} Here (a, b) to be in relation a = b 2 b > 6 Both conditions should be satisfied Checking options Option A (2, 4) a = 2 , b = 4 Here a = b 2, as 2 = 4 2 But b should be greater than 6 Hence option A is not correct Option B (3, 8) a = 3 , b = 8 But a b 2 as 3 8 2 Hence option B is not correct Option C (6, 8) a = 6 , b = 8 Here a = b 2 , as 6 = 8 2 & b > 6, (6, 8) R Hence option C is correct Option D (8, 7) a = 8 , b = 7 But a b 2 as 8 7 2 Hence option D is not correct

Relations - Definition

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

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.