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Ex 1.1, 1 (iii) - Chapter 1 Class 12 Relation and Functions (Term 1)
Last updated at Aug. 11, 2021 by Teachoo
Transcript
Ex 1.1, 1 Determine whether each of the following relations are reflexive, symmetric and transitive: (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y): y is divisible by x} R = {(x, y): y is divisible by x} Check Reflexive Since x is divisible by x (x, x) R R is reflexive Check symmetric To check whether symmetric or not, If (x, y) R, then (y, x) R Here (2, 4) R , as 4 is divisible by 2 but (4, 2) R as 2 is not divisible by 4 R is not symmetric Check transitive If y is divisible by x & z is divisible by y, then z is divisible by x If (x, y) R & (y, z) R , then (x,z) R R is transitive
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Ex 1.1
Ex 1.1, 1 (i)
Ex 1.1, 1 (ii)
Ex 1.1, 1 (iii) Important You are here
Ex 1.1, 1 (iv)
Ex 1.1, 1 (v)
Ex 1.1, 2
Ex 1.1, 3
Ex 1.1, 4
Ex 1.1, 5 Important
Ex 1.1, 6
Ex 1.1, 7
Ex 1.1, 8 Important
Ex 1.1, 9 (i) Important
Ex 1.1, 9 (ii)
Ex 1.1, 10 (i)
Ex 1.1, 10 (ii)
Ex 1.1, 10 (iii) Important
Ex 1.1, 10 (iv)
Ex 1.1, 10 (v)
Ex 1.1, 11
Ex 1.1, 12 Important
Ex 1.1, 13
Ex 1.1, 14
Ex 1.1, 15 (MCQ) Important
Ex 1.1, 16 (MCQ)
Chapter 1 Class 12 Relation and Functions (Term 1)
Serial order wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.