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Let `X={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9}` , Let `R_1` be a relation on `X` given by `R_1={(x ,\ y): x-y` is divisible by 3} and `R_2` be another relation on `X` given by `R_2={(x ,\ y):{x ,\ y}sub{1,\ 4,\ 7}` or `{x ,\ y}sub{2,\ 5,\ 8}` or `{x ,\ y}sub{3,\ 6,\ 9}}dot` Show that `R_1=R_2` .

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RD SHARMA ENGLISH-RELATIONS-All Questions
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  14. Test whether, R2 on Z defined by (a ,\ b) in R2<=>|a-b|lt=5 is (i) re...

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  15. Test whether, R3 on R defined by (a ,\ b) in R3<=> a^2-4\ a b+3b^2=0 ...

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  16. Find whether or not R1={(1,\ 1),\ (1,\ 3),\ (3,\ 1),\ (2,\ 2),\ (2,\ 1...

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  17. Find whether or not R2={(2,\ 2),\ (3,\ 1),\ (1,\ 3)} , on A={1,\ 2,\ 3...

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  18. Find whether or not R3={(1,\ 3),\ (3,\ 3)} , on A={1,\ 2,\ 3} is (i) r...

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  19. a R b if a-b >0 is defined on the set of real numbers, find whether...

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