Maths-
General
Easy
Question
The relation R defined in N as aRb 
b is divisible by a is
- Reflexive but not symmetric
- Symmetric but not transitive
- Symmetric and transitive
- None of these
The correct answer is: Reflexive but not symmetric
To define the given relation.
Given, aRb b is divisible by a
1R1 = 1 is divisible by 1
(a, a) ∈ R is Reflexive
aRb = bRa
But 2R4 = 4 is divisible by 2 but 4R2 ⇒ 2 is not divisible by 4
It is not symmetric.
Hence, the given relations is reflexive but not symmetric.
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