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If tan alpha and tan beta are the root...

If tan `alpha and tan beta` are the roots of the equation `x^(2) +px + q = 0` , then the value of `sin^(2) (alpha +beta) + p cos (alpha + beta) sin (alpha + beta) + q cos^(2) (alpha + beta) ` is

A

p + q

B

p

C

q

D

`(p)/(p +q)`

Text Solution

Verified by Experts

The correct Answer is:
C
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