If aN={an:n∈N}  and  bN∩cN=dN where a,b,c∈N and, b,c are coprime, then

If aN={an:nN}  and  bNcN=dN where a,b,cN and, b,c are coprime, then

  1. A

    b=cd

  2. B

    c=bd 

  3. C

    d= bc

  4. D

    None of these

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    Solution:

    Given that,

    aN={an:nN}bN={bn:nN} and cN={cn:nN}

    Also given,

    bNcN=dNbcbNcN or bcdNbc=d [b and c are coprime ]

    [ coprime numbers are those numbers, whose common factor is 1. e.g., (i) 3 and 5 (ii) 5 and 9 etc.]

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