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LetA = {1, 2, 3}Then number of relations...

Let`A = {1, 2, 3}`Then number of relations containing `(1, 2) a n d (1, 3)`which are reflexive and symmetric but not transitive is

A

1

B

2

C

3

D

4

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The correct Answer is:
A
R is reflexive `rArr (1,1),(2,2),(3,3) in A`
R is symmetic `rArr (1,2),(2,1) in R`
`and (1,3),(3,1) in R`
R is not transitive `rArr (3,1),(1,2) in R`
but `(3,2) in R`
`therefore (3,2) in R and (2,3)j in R`
Therefore number of required relations =1
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