35. ACB, B CC=ACC. This property is
known as .....
( )
A) reflexive B) associative
C) transitive D) symmetric
Answers
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1
Step-by-step explanation:
R is reflexive and symmetric, but not transitive
R is reflexive and transitive, but not symmetric
R is reflexive, but neither symmetric nor transitive
R is reflexive, symmetric and transitive
Answer :
C
Solution :
Let A = {a, b, c,} and
R={(a,a),(a,b),(b,c),(b,b),(c,c),(c,a)}
Since, (a,a),(b,b),(c,c)∈R
∴ R is reflexive relation
But (a,b)∈R and (b,a)∈R.
∴ R is not symmetric relation.
Also, (a,b),(b,c)∈R
⇒(c,a)∈R But (a,c)∈R
∴ R is not transitive relations.
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