Multiple Choice Questions on If x2 y2 z2 14 and xy yz zx 11 then the value of x y z 2 is ........ for SSC CGL Exam Preparation

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Multiple Choice Questions

If x2 y2 z2 14 and xy yz zx 11 then the value of x y z 2 is ........

Quantitative Aptitude (CGL) Algebra
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    If x2+y2+z2 = 14 and xy + yz + zx = 11, then the value of (x+y+z)2 is

    16

    Incorrect Answer

    25

    Incorrect Answer

    36

    Correct Answer

    49

    Incorrect Answer
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    Explanation:

    x2+y2+z2 = 14  -----------eq.(i.)
    xy + yz + zx = 11  -------------eq.(ii.)
    Adding eq.(i.) and 2 x eq.(ii.), we get-
    x2+y2+z2 +2(xy + yz + zx) = 14 + 2*11=36;
    (x+y+z)2 =36;

    By: MIRZA SADDAM HUSSAIN
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