In the expansion of ((x)/(costheta)+(1)/...

In the expansion of `((x)/(costheta)+(1)/(xsintheta))^(16)`, if `l_(1)` is the least value of the term independent of `x` when `(pi)/(8) le theta le (pi)/(4)` and `l_(2)` is the least value of the term independent of `x` when `(pi)/(16) le theta le (pi)/(8)`, then the value of `(l_(2))/(l_(1))` is

A

`1:8`

B

`1:16`

C

`8:1`

D

`16:1`

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The correct Answer is:

D

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