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NTSE Sample Paper NTSE SAT Practice Test-17

  • question_answer
    On simplification of \[\frac{\left[ \begin{align}   & bx({{a}^{2}}{{x}^{2}}+2{{a}^{2}}{{y}^{2}}+{{b}^{2}}{{y}^{2}}) \\  & +ay({{a}^{2}}x+2{{b}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}} \\ \end{align} \right]}{bx+ay}\] we get:                      

    A) \[{{a}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}}\]       

    B) \[{{(ax+by)}^{2}}\]

    C) \[{{(bx+ay)}^{2}}\]    

    D) \[(ax+by)(bx+ay)\]

    Correct Answer: B

    Solution :

    [b] The given expression can be expressed as \[{{a}^{2}}{{x}^{2}}(bx+ay)+2{{a}^{2}}{{y}^{2}}bx+2{{b}^{2}}{{x}^{2}}ay\] \[\frac{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+{{b}^{2}}{{y}^{2}}(bx+ay)}{bx+ay}\] \[={{a}^{2}}{{x}^{2}}+{{b}^{2}}{{y}^{2}}+2ax.by\] \[={{(ax+by)}^{2}}\]


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