Multiple Choice Questions on If x v2 1 and y 1 v2 then value of x 2 y 2 xy 2 ........ for CDS Exam Preparation

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Multiple Choice Questions

If x v2 1 and y 1 v2 then value of x 2 y 2 xy 2 ........

Quantitative Aptitude (CDS) Simplification
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    If x=(v2  +1) and y=(1 -v2) then value of (x^2 +y^2 +xy +2) 

    6

    Incorrect Answer

    7

    Correct Answer

    8

    Incorrect Answer

    9

    Incorrect Answer
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    Explanation:

    (x-y)^2 =x^2 + y^2 -2xy
    (x-y)^2 +3xy =x^2 + y^2 -2xy +3xy
    ((v2  +1)-(1 -v2))^2+3(v2  +1)(1 -v2)=x^2 +y^2 +xy
    (2v2 )^2 +3(-1)=x^2 +y^2 +xy
    8-3=x^2 +y^2 +xy
    x^2 +y^2 +xy=5
    x^2 +y^2 +xy+2=5+2=7

    By: bhavesh kumar singh
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