Railways RRB (Assistant Loco Pilot & Technician) Solved Paper-2 (2013)

  • question_answer
    If \[x+y=20\]and \[xy=84;\]what is the value of \[{{(x)}^{2}}+({{y}^{2}})\]?

    A)  232

    B)  400

    C)  128                  

    D)  Cannot be determined

    Correct Answer: A

    Solution :

    Given \[x+y=20\] \[\Rightarrow \] \[{{(x+y)}^{2}}={{(20)}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}+2xy=400\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}=400-2\times 84\]    \[(\because \,\,xy=84)\] \[=400-168=232\]


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