Examples

Example 1

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Example 4 Important

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Example 15

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Question 1 Deleted for CBSE Board 2024 Exams

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Question 2 Important Deleted for CBSE Board 2024 Exams

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Question 3 Important Deleted for CBSE Board 2024 Exams

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Question 4 Deleted for CBSE Board 2024 Exams

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Question 5 Deleted for CBSE Board 2024 Exams

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Question 6 Deleted for CBSE Board 2024 Exams

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Question 7 Deleted for CBSE Board 2024 Exams

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Question 8 Important Deleted for CBSE Board 2024 Exams

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Question 9 Deleted for CBSE Board 2024 Exams

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Question 10 Important Deleted for CBSE Board 2024 Exams

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Question 11 (a) Deleted for CBSE Board 2024 Exams

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Question 11 (c) Deleted for CBSE Board 2024 Exams

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Question 12 Deleted for CBSE Board 2024 Exams

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Question 15 Deleted for CBSE Board 2024 Exams

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Question 16 Deleted for CBSE Board 2024 Exams

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Question 20 Important Deleted for CBSE Board 2024 Exams

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Question 24 (a) Deleted for CBSE Board 2024 Exams

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Example 36 - Show addition, multiplication are associative on R - Whether binary commutative/associative or not

Example 36 - Chapter 1 Class 12 Relation and Functions - Part 2
Example 36 - Chapter 1 Class 12 Relation and Functions - Part 3
Example 36 - Chapter 1 Class 12 Relation and Functions - Part 4


Transcript

Question 19 Show that addition and multiplication are associative binary operation on R. But subtraction is not associative on R. Division is not associative on R∗. Addition * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) ∀ a, b, c ∈ R + is an associative binary operation Multiplication * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) ∀ a, b, c ∈ R × is an associative binary operation Subtraction * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) ∀ a, b, c ∈ R – is not an associative binary operation Division * is associative if (a * b) * c = a * (b * c) Since (a * b) * c ≠ a * (b * c) ÷ is not an associative binary operation

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Davneet Singh

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.