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If tangents are drawn from any point on the circle `x^(2) + y^(2) = 25` the ellipse `(x^(2))/(16) + (y^(2))/(9) =1` then the angle between the tangents is

A

`(2pi)/(3)`

B

`(pi)/(4)`

C

`(pi)/(3)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given, circle is a director circle to the given ellipse.
`therefore` Angle between tangent is `theta = (pi)/(2)`
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