Let N be the set of all natural numbers and R be a relation on N×N defined by (a,b)R(c,d)⇔ad=bc for all (a,b),(c,d)∈N×N. Show that R is an equivalence relation on N×N. Also, find the equivalence class of (2, 6), i.e., [(2, 6)]

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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.