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SSC Sample Paper Mock Test-13 SSC CGL Tear-II Paper-1

  • question_answer
    If \[\frac{\sqrt{x+4}+\sqrt{x-4}}{\sqrt{x+4}-\sqrt{x-4}}=2\]then x is equal to

    A) 2.4

    B)  3.2      

    C)  4

    D)  5

    Correct Answer: D

    Solution :

    \[\frac{\sqrt{x+4}+\sqrt{x-4}}{\sqrt{x+4}-\sqrt{x-4}}=\frac{2}{1}\] By componendo and dividendo, we get \[\frac{2\sqrt{x+4}}{2\sqrt{x-4}}=\frac{3}{1}\] On squaring, \[\frac{x+4}{x-4}=\frac{9}{1}\] \[\Rightarrow \]   \[9x-36=x+4\]\[\Rightarrow \]\[8x=40\]\[\therefore \]\[x=5\]


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