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Grade 12th PassMagical Mathematics[Interesting Approach]

IF a SET A=(1,2,3,4) and the relation is R={(2,2),(3,3),(4,4),(1,2)} ....so what is relation? transitive or reflexive or symmertic?

ans is reflexive.

Profile image of shelley dubey
14 Years agoGrade 12th Pass
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2 Answers

Profile image of shelley dubey
14 Years ago

sorry by mistaken... ans is transitive. but plz further xplain it.

Profile image of Neer Varshney
ApprovedApproved Tutor Answer14 Years ago

for every x € A there is (x,x) does not belong to R (as 1,1 is not there) 

so not reflexive.

for every x,y € R there is y,x € R. 

so not symmetric as 1,2  € R but 2,1 does not € R

for every x,y € R and y,z € R there is x,z € R which is true

THerefore it is transitive as 1,2 € R 2,2 €R therefore 1,2 € R