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If tan alpha tan beta are the roots of ...

If `tan alpha tan beta` are the roots of the equation `x^2 + px +q =0(p!=0)` then

A

`sin^(2) (alpha +beta) + p sin (alpha+ beta) cos (alpha +beta)+ q cos^(2) (alpha + beta) =q`

B

`tan (alpha +beta) = (p)/(q-1)`

C

`cos (alpha +beta)=1-q`

D

`sin (alpha +beta)= -p`

Text Solution

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The correct Answer is:
A, B
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