Ex 1.4, 2 (v) - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at March 16, 2023 by Teachoo

Ex 1.4, 2 - Chapter 1 Class 12 Relation and Functions - Part 9

Ex 1.4, 2 - Chapter 1 Class 12 Relation and Functions - Part 10

Ex 1.4, 2 - Chapter 1 Class 12 Relation and Functions - Part 11

Get live Maths 1-on-1 Classs - Class 6 to 12

Book 30 minute class for ~~₹ 499~~ ₹ 299

Transcript

Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (v) On Z+, define a * b = 𝑎^𝑏 Check commutative * is commutative if a * b = b * a Since a * b ≠ b * a * is not commutative a * b = 𝑎^𝑏 b * a = 𝑏^𝑎 Check associative * is associative if (a * b) * c = a * (b * c) Example Let a = 2, b = 3, c = 4 (a * b)* c = (𝑎^𝑏) * c = (𝑎^𝑏 )^𝑐 a * (b * c) = a * (2^𝑏𝑐) = 2^(𝑎2^𝑏𝑐 ) (a * b)* c = (2 * 3) * 4 = (2^3) * 4 = 8 * 4 = 8^4 a * (b * c) = 2 * (3 * 4) = 2 * (3^4) = 2 * 81 = 2^81 Since (a * b) * c ≠ a * (b * c) * is not an associative binary operation

Next: Ex 1.4, 2 (vi) Important → Ask a doubt

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular