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If tan A and tan B are the roots of th...

If tan A and tan B are the roots of the equation `x ^(2) -ax+b=0,` then the value of `sin ^(2) (A+B)` is

A

`a^2/(a^2+(1-b)^2)`

B

`a^2/(a^2+b^2)`

C

`a^2/(a+b)^2`

D

`a^2/(b^2+(1-a)^2)`

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