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SSC Sample Paper SSC CGL - Sample Paper-6

  • question_answer
    For what value (s) of a is \[x+\frac{1}{4}\sqrt{x}+{{a}^{2}}\] a perfect square?

    A)  \[\pm \frac{1}{18}\]                 

    B)  \[\pm \frac{1}{8}\]

    C)  \[-\frac{1}{5}\]                        

    D)  \[\frac{1}{4}\]

    Correct Answer: B

    Solution :

    \[x+\frac{1}{6}\sqrt{x}+{{a}^{2}}={{(\sqrt{x})}^{2}}+2\sqrt{x}\cdot \frac{1}{8}+{{(a)}^{2}}\] Clearly \[a=\frac{1}{8}\] Then, expression \[={{\left( \sqrt{x}+\frac{1}{8} \right)}^{2}}\]


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