Tangents are drawn from any point on the circle x 2 + y 2 = 41 to the Ellipse x 2 25 + y 2 16 = 1 then the angle between the two tangents is Options: A . &nbspπ4 B . &nbspπ3 C . &nbspπ6 D . &nbspπ2

Tangents are drawn from any point on the circle x2+y2=41 to the Ellipse x225+y21

Question

Tangents are drawn from any point on the circle

x^{2} + y^{2} = 41

to the Ellipse

\frac{x^{2}}{25} + \frac{y^{2}}{16} = 1

then the angle between the two tangents is

Options:

A . π4

B . π3

C . π6

D . π2

Answer: Option D
:
D
The given circle is the director circle of the ellipse,so the angle between the tangents is

\frac{π}{2}

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