Question 4 - CBSE Class 12 Sample Paper for 2018 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

Determine whether the binary operation * on the set N of natural numbers defined by a*b = 2 ab is associative or not.

This is a question of CBSE Sample Paper - Class 12 - 2017/18.

You can download the question paper here  https://www.teachoo.com/cbse/sample-papers/

Examine whether binary operation a*b = 2^ab is associative or not

 

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Question 4 Determine whether the binary operation * on the set N of natural numbers defined by a*b = 2ab is associative or not. * is associative if (a * b) * c = a * (b * c) Since (a * b) * c a * (b * c) * is not an associative binary operation (a * b)* c = (2^ ) * c = 2^( (2 ^ ) ) a * (b * c) = a * (2^ ) = 2^( (2^ )) Note: You can take an example as well Find (1 * 2) * 3 & 1 * (2 * 3), and prove them not equal

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo