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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 - 4)^(12))`

B

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

C

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

D

`(2^(6))/((sintheta - 8)^(6))`

Text Solution

Verified by Experts

The correct Answer is:
C
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