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8th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions & Identities

  • question_answer
    If \[\mathbf{ab}=\mathbf{6}\]and \[\mathbf{a}+\mathbf{b}=\mathbf{5}\], then the value of \[{{\mathbf{a}}^{\mathbf{2}}}+{{\mathbf{b}}^{\mathbf{2}}}\]is

    A)  11                               

    B)  12             

    C)  13 

    D)  16

    Correct Answer: C

    Solution :

    (c): \[{{a}^{2}}+{{b}^{2}}={{\left( a+b \right)}^{2}}-2ab\]             \[=25-2\times 6=13.\]    


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