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If alpha and beta the rots of the quadra...

If `alpha and beta` the rots of the quadratic equation, `x^(2)+x sintheta-2sintheta=0,theta in(0,(pi)/(2)),` then `(alpha^(12)+beta^(12))/((alpha^(-12)+beta^(-12))(alpha-beta)^(24))` is equal to

A

`(2^(12))/((sin theta -8)^6)`

B

`(2^(12))/(( sin theta + 8 )^(12))`

C

`(2^(12))/((sin theta -4)^(12))`

D

`(2^(6))/(( sin theta + 8)^(12))`

Text Solution

Verified by Experts

The correct Answer is:
B
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