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If x = a + (1)/(a) and y = a - (1)/(a) t...

If `x = a + (1)/(a)` and `y = a - (1)/(a)` then `sqrt(x^(4) + y^(4) - 2x^(2)y^(2))` is equal to :

A

8

B

`(8)/( a^2)`

C

`16 a^2`

D

4

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The correct Answer is:
D
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