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Example 8 - Relation between sets P and Q. Write in set-builder

Example 8 - Chapter 2 Class 11 Relations and Functions - Part 2

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Example 8 - Chapter 2 Class 11 Relations and Functions - Part 3

 

 

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Example 8 The figure shows a relation between the sets P and Q. Write this relation in set-builder form Note that (3)2 = 9 (–3)2 = 9 (2)2 = 4 (–2)2 = 4 (5)2 = 25 (–5)2 = 25 Let the elements of set P can be denoted by x , i.e. x ∈ P & the elements of set Q can be denoted by y , i.e. y ∈ Q Hence we can say that y2 = x ⇒ x = y2 ∴ R = {(x, y): x = y2, x ∈ P & y ∈ Q} Example 8 The figure shows a relation between the sets P and Q. Write this relation (ii) in roster form. What is its domain and range? In roster form Relation R = {(9, 3), (9, −3), (4, 2), (4, −2), (25, 5) (25, −5)} Domain = Set of first elements of Relation = {9, 4, 25} Range = Set of second elements of Relation = {3, −3, 2, −2, 5, −5}

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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.