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The radius of the circle passing through...

The radius of the circle passing through the foci of the ellipse `(x^2)/(16)+(y^2)/9` and having its center (0, 3) is (a)4 (b) 3 (c) `sqrt(12)` (d) `7/2`

Text Solution

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Coordinates for focia re (ae, 0) , (-ar, 0)
`:. e=sqrt(1-(9)/(16))rArre=(sqrt(7))/(4)`
Coordinates of foci are `(sqrt(7),0),(-sqrt(7),0)`

Radius ` R=sqrt(7+9)=4`
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