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If `tan A` and `tan B` are the roots of the quadratic equation `x^2-px + q =0` then value of `sin^2(A+B)`

A

`(p^(2))/(p^(2) +q^(2))`

B

`(p^(2))/((q+p)^(2))`

C

`(p^(2))/((1 - q)^(2) + p^(2))`

D

`1 - (p^(2))/((1 - q)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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