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If x+y+z=0, then the value of (x^(2)y^(2...

If `x+y+z=0`, then the value of `(x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2))/(x^(4)+y^(4)+z^(4))` is

A

0

B

`(1)/(2)`

C

1

D

2

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Knowledge Check

  • If x + y + z = 0 then the value of (x^2 y^2 + y^2z^2 + z^2x^2)/(x^4 + y^4 + z^4) is :

    A
    0
    B
    `1/2`
    C
    `1`
    D
    `2`

  • If x+y+z=0, then the value of (x^2y^2+y^2z^2+z^2x^2)/(x^4+y^4+z^4) is :

    A
    0
    B
    `1/2`
    C
    1
    D
    2

  • If x+y+z=0 then what is the value of (1)/(x^(2)+y^(2)-z^(2)) +(1)/(y^(2)+z^(2)-x^(2)) +(1)/(z^(2)+x^(2)-y^(2)) ?

    A
    `(1)/(x^(2)+y^(2)+z^(2))`
    B
    1
    C
    `-1`
    D
    0

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