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If alpha(1),alpha(2) are the roots of x^...

If `alpha_(1),alpha_(2)` are the roots of `x^(2)+ax+1=0andalpha_(3),alpha_(4)` are the roots of `x^(2)+bx+1=0` then `(alpha_(1)+alpha_(3))(alpha_(2)+alpha_(3))(alpha_(1)+alpha_(2))(alpha_(2)+alpha_(4))=`

A

`3a^(2)- b^(2)`

B

`a^(2)- 3b^(2)`

C

`(a- b)^(2)`

D

`(a+b)^(2)`

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The correct Answer is:
D
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