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Q.

Matrix matching

 

Column - I

 

Column - II

1)If A={a,b,c,d} , then a relation  R={(a,b),(b,a),(a,a)} isp)Not symmetric
2)Let R={(1,3),(4,2),(2,4),(2,3),(3,1)} be a relation on the set A={1,2,3,4}  then the relation  R isq)An equivalence relation
3)The relation  R={(1,1),(2,2),(3,3)} on the set  {1,2,3} isr)Reflexive and transitive
4)If  R is a relation on set  of natural numbers defined by  xRyx divides y  then R  iss)Symmetric only

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a

1r,2p,3s,4q

b

1p,2s,3q,4r

c

1s,2p,3q,4r

d

1q,2p,3s,4r

answer is D.

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Detailed Solution

(1) R={(a,b),(b,a),(a,a)}  is symmetric only
(2)  {(1,3),(4,2),(2,4),(2,3),(3,1)}
 (2,3)R  but  (3,2)R  not symmetric
(3)  R={(1,1),(3,3),(3,3)}  is  an equivalence
(4)  xRyx  divides y is reflexive and transitive only
 

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