Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-6

  • question_answer
    Find the mean proportional of \[(x-y),({{x}^{3}}-{{x}^{2}}y).\]

    A)  \[y(x+y)\]        

    B)  \[x(x-y)\]

    C)  \[\frac{xy}{x-y}\]         

    D)  \[\frac{x+y}{x-y}\]

    Correct Answer: B

    Solution :

    Let mean proportional =M \[\therefore \]      \[(x-y):M::M({{x}^{3}}-{{x}^{2}}y)\] \[\Rightarrow \]   \[{{M}^{2}}=(x-y)\times ({{x}^{3}}-{{x}^{2}}y)\] \[=(x-y)\times {{x}^{2}}\times (x-y)\] \[\,={{x}^{2}}\times {{(x-y)}^{2}}\] \[\therefore \]      \[M=x\,\times \,(x-y)\]


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