1. Assertion: A relation R = {(1, 1), (1,2), (2, 2), (2, 3) (3,3)} defined on the set A={1, 2, 3} is reflexive
Reason: A relation R on the set A is said to be reflexive if (a, a) ER, A a E A
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Step-by-step explanation:
Correct option is
A
reflexive but not symmetric
It is reflexive because (a,a)∈R.
It is not symmetric.
(a,b)∈R
But (b,a)∈/R
(1,2)∈R but (2,1)∈/R
(1,2)∈R and (2,3)∈R & (1,3)∈R
So, R is transitive.
So, only Option A satisfies.
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