Q.
Let R be a relation on the set N of natural numbers defined by nRm⇔n is a factor of m (i.e., n\m). Then R is
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
a
Reflexive and symmetric
b
Transitive and symmetric
c
Equivalence
d
Reflexive, transitive but not symmetric
answer is D.
(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
Since n\n for all n∈N, therefore R is reflexive. Since 26 but 6/2, therefore R is not symmetric.Let n R m and mRp⇒nm and mp⇒n|p⇒nRp. So, R is transtive.
Watch 3-min video & get full concept clarity