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if the tangent at the point (4 cos p...

if the tangent at the point `(4 cos phi , (16)/(sqrt(11) )sin phi )` to the ellipse `16x^(2)+11y^(2) =256` Is also a tangent to the circle `x^(2) +y^(2)-2x=15,` then the value of `phi` is

A

`(pi)/(3)`

B

`(pi)/(6)`

C

`-(pi)/(6)`

D

`-(pi)/(3)`

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The correct Answer is:
A, D
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