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If theta(2) and theta(2) are the angles ...

If `theta_(2) and theta_(2)` are the angles made by the lines `(x^(2)+y^(2))(cos^(2) theta sin^(2) alpha+ sin^(2) theta)= (x tan alpha- y sin theta)^(2)` with positive axis of x in the anticlock wise direction, if `theta=(pi)/(6), tan theta_(1)+ tan theta_(2)`, equals

A

`(-8/3)sin^2 alpha`

B

`(-8sqrt3)cosec2alpha`

C

`(-8/3)cosec2alpha`

D

`(-4sqrt3)cosec2alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
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