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

  • question_answer
    If \[x:y=2:1,\]then \[(5{{x}^{2}}-13xy+6{{y}^{2}})\]is equal to

    A)  \[\frac{3}{4}\] 

    B)  \[\frac{4}{3}\]

    C)  0

    D)  \[\frac{55}{4}\]

    Correct Answer: C

    Solution :

    \[\frac{x}{y}=2\]\[\Rightarrow \]\[x=2y\] \[\Rightarrow \]\[x-2y=0\]                         ?(i) \[\therefore \]\[5{{x}^{2}}-13xy+6{{y}^{2}}\] \[=5{{x}^{2}}-10xy-3xy+6{{y}^{2}}=5x\,\,(x-2y)-3y\,\,(x-2y)\] \[=(x-2y)(5x-3y)=0\times (5x-3y)=0\]


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