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Deepak Patra posted an Question
September 26, 2021 • 22:14 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Zs. let bethe set olrationals and define a binary operation on q by a*b=ut+b-ab. then (a) () is a group (b) (s,") is agroup for somc subset s q |h, (c} (9.*) is

ZS. Let bethe set olrationals and define a binary operation on Q by a*b=ut+b-ab. Then (a) () is a group (b) (S,") is agroup for somc subset S Q |H, (c} (9.*) is not associative (d) (.*) has no'identity

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  • Anonymous User best-answer

    options A is wrong because inverse of 1 dose not exist. options c is wrong bcz Q is associated options D is wrong because O is an identity elements which is in Q so options B is right for this check attachment taking S=Q* which is subset of Q

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