Maths Crash Course - Live lectures + all videos + Real time Doubt solving!
Ex 1.1, 1 (i) - Chapter 1 Class 12 Relation and Functions (Term 1)
Last updated at Aug. 11, 2021 by Teachoo
Ex 1.1
Ex 1.1, 1 (i)
You are here
Ex 1.1, 1 (ii)
Ex 1.1, 1 (iii) Important
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
Ex 1.1, 9 (i)
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
Serial order wise
Transcript
Ex 1.1, 1 Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the set A = {1, 2, 3 13, 14} defined as R = {(x, y): 3x y = 0} R = {(x, y): 3x y = 0} So, 3x y = 0 3x = y y = 3x where x, y A R = {(1, 3), (2, 6), (3, 9), (4, 12)} Check Reflexive If the relation is reflexive, then (a, a) R for every a A i.e. {1, 2, 3 13, 14} Since (1, 1) R ,(2, 2) R , (3, 3) R , . (14, 14) R R is not reflexive Check symmetric To check whether symmetric or not, If (a, b) R, then (b, a) R Here (1, 3) R , but (3, 1) R R is not symmetric Check transitive To check whether transitive or not, If (a,b) R & (b,c) R , then (a,c) R Here, (1, 3) R and (3, 9) R but (1, 9) R. R is not transitive Hence, R is neither reflexive, nor symmetric, nor transitive.
