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SSC Sample Paper SSC-CGL TIER - I Sample Test Paper-9

  • question_answer
    If \[x+y=2\], then the value of \[xy.(x-y)+{{x}^{2}}(x-2)+{{y}^{2}}(2-y)\]is-

    A) 0                     

    B) 1

    C) 4                     

    D) None of the above

    Correct Answer: A

    Solution :

    \[x+y=2\] (given) Now, \[\Rightarrow \,\,\,\,\,xy\left( x-y \right)+{{x}^{2}}\left( x-y \right)+{{y}^{2}}\left( 2-y \right)\] \[\Rightarrow \,\,\,\,\,xy\left( x-y \right)+{{x}^{2}}\left( -y \right)+{{y}^{2}}\times x\] \[[\therefore \,\,\,\,\,x+y=2]\] \[\Rightarrow \,\,\,\,\,\,xy[x-y-x+y]\Rightarrow xy[0]\] = 0


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