Mathematics - Sets and Relations Question with Solution | TestHub

MathematicsSets and RelationsQuestions on number of relations and setsMedium2 minPYQ_2021
MathematicsMediumsingle choice

LetA=2,3,4,5,.,30and''be an equivalence relation onA×A,defined bya,bc,d,if and only ifad=bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair4,3is equal to :

Options:

Answer:
D
Solution:

A=2,3,4,5,,,30

a,b=c,dad=bc

4,3=c,d  4d=3c

43=cd

cd=43 & c,d2,3,,30

c, d =4,3,8,6,12,9,16,12,20,15,24,18,28,21

No. of ordered pair =7

Stream:JEESubject:MathematicsTopic:Sets and RelationsSubtopic:Questions on number of relations and sets
2mℹ️ Source: PYQ_2021

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