Q.
Let R1 be a relation defined by R_1 ={a, b|a≥b, a, b∈R}. Then R1 is
see full answer
Start JEE / NEET / Foundation preparation at rupees 99/day !!
21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya
a
An equivalence relation on R
b
Reflexive, transitive but not symmetric
c
Symmetric, Transitive but not reflexive
d
Neither transitive not reflexive by symmetric
answer is B.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
For any a∈R, we have a≥a, therefore the relation R is reflexive but it is not symmetric as (2, 1)∈R but (1, 2)∉R. The relation R is transitive also, because (a, b)∈R, (b, c)∈R imply that a≥b and b≥c which is turn imply that a≥c.
Watch 3-min video & get full concept clarity