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    Question

    If a =

    src='https://static.ixambee.com/public/images/quesimg/RRB NTPC (CBT, Stage 1)/Quantitative Aptitude/Algebra/77087_3753501.gif'> and bĀ =Ā  Ā  Ā ,Ā then the value of (a2+b2+ab) is
    A 678 Correct Answer Incorrect Answer
    B 665 Correct Answer Incorrect Answer
    C 675 Correct Answer Incorrect Answer
    D 676 Correct Answer Incorrect Answer

    Solution

    a =   and b  =    So here, ab  =      = 1 & a+b =          = = 2{ (√7)2+ (√6) 2}/1 = 2(7+6) =26 then the value of (a2+b2+ab) = a2+b2+2ab -ab = (a+b)2 -ab = 262 - 1 = 676 -1 = 675.

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