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The slope of a common tangent to the ell...

The slope of a common tangent to the ellipse `(x^(2))/(49) + (y^(2))/(4) =1` and the circle `x^(2) + y^(2) = 16` is

A

`(5)/(sqrt11)`

B

`(4)/(sqrt11)`

C

`(3)/(sqrt11)`

D

`(2)/(sqrt11)`

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The correct Answer is:
D
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