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Tangents are drawn to the ellipse (x^2)/...

Tangents are drawn to the ellipse `(x^2)/(25) + (y^2)/(16) = 1` at all the four ends of its latusrectum. Then, the area (in sq units) of the quadrilateral formed by these tangents is

A

`125/6`

B

`250/3`

C

`80/3`

D

`260/3`

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The correct Answer is:
B
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