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SSC Sample Paper SSC CHSL (10+2) Sample Test Paper-9

  • question_answer
    The term to be added to \[121\,{{a}^{2}}+64\text{ }{{b}^{2}}\]to make a perfect square is

    A) 176 ab             

    B) 276 \[{{a}^{2}}b\]

    C) 178 ab                         

    D) 188 \[{{b}^{2}}a\]

    Correct Answer: A

    Solution :

    \[121{{a}^{2}}+64{{b}^{2}}\] \[={{(11a)}^{2}}+{{(8b)}^{2}}\] \[\because \] \[{{(x+y)}^{2}}={{x}^{2}}+{{y}^{2}}+2xy\] \[\therefore \] Required expression \[=2\times 11a\times 8b\] \[=176ab\]


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