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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    If HCF and LCM of two terms a and b are x and y respectively and \[\mathbf{a}+\mathbf{b}=\mathbf{x}+\mathbf{y},\] then \[{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{=?}\]

    A)  \[{{a}^{2}}-{{b}^{2}}\]                   

    B)  \[2{{a}^{2}}+{{b}^{2}}\]       

    C)  \[{{a}^{2}}+{{b}^{2}}\]    

    D)  \[{{a}^{2}}+2{{b}^{2}}\]

    Correct Answer: C

    Solution :

    (c): \[\because p\left( x \right)\times q\left( x \right)=LCM\times HCF\] And, proceed.                          


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