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Let -(pi)/6ltthetalt -(pi)/12. Suppose a...

Let `-(pi)/6ltthetalt -(pi)/12`. Suppose `alpha_(1)` and `beta_(1)` are the roots of the equation `x^(2)-2x sec theta+1=0` and `alpha_(2)` and `beta_(2)` are the roots of the equation `x^(2)+2xtan theta-1=0`. If `alpha_(1)gtbeta_(1)` and `alpha_(2)gtbeta_(2)` then `alpha_(1)+beta_(2)` equals

A

`2(sec theta- tan theta)`

B

`2 sec theta`

C

`-2 tan theta`

D

0

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The correct Answer is:
c
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