If the tangent at the point (4 cos theta...

If the tangent at the point `(4 cos theta, (16)/(sqrt(11)) sin theta)` to the ellipse `16x^(2) + 11y^(2) = 256` is also a tangent to the circle `x^(2) + y^(2) - 2x - 15 = 0`, then the value of `theta`, is

A

`pm pi//2`

B

`pm pi//4`

C

`pm pi//3`

D

`pm pi//6`

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The correct Answer is:

C

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