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7th Class Mathematics Integers Question Bank Number System

  • question_answer
    If \[\mathbf{x}=\mathbf{2}.\overline{\mathbf{3}}-\mathbf{0}.\overline{\mathbf{9}},\] \[\mathbf{y}=\mathbf{2}\mathbf{.}\overline{\mathbf{5}}-\mathbf{0}.\overline{\mathbf{5}},\] then \[{{x}^{2}}+{{y}^{2}}-2xy\] is

    A)  \[\frac{1}{4}\]

    B)  \[\frac{1}{3}\]

    C)  \[\frac{1}{2}\]                         

    D)  \[\frac{1}{5}\]

    Correct Answer: A

    Solution :

     (a): \[{{x}^{2}}+{{y}^{2}}-2xy={{\left( x-y \right)}^{2}}\]and solve


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