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Misc 10 - Let A = {1, 2, 3, 4}, f = {(1, 5), (2, 9), (3, 1)

Misc 10 - Chapter 2 Class 11 Relations and Functions - Part 2
Misc 10 - Chapter 2 Class 11 Relations and Functions - Part 3

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Misc 10 Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Are the following true? f is a relation from A to B f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} First elements = 1, 2, 3, 4 All the first elements are in set A So, first element is from set A Second elements = 5, 9, 1, 11 All the second elements are in set B So, second element is from set B Since first element is from set A & second element is from set B Hence, f is a relation from A to B Misc 10 Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11, 15, 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)}. Are the following true? (ii) f is a function from A to B f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} Here, 2 is coming twice Hence, it does not have a unique image So, it is not a function In function, first element is not repeating

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.