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The equation of a common tangent to the ...

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

A

`y=(2)/(sqrt(11)) x-4 sqrt((15)/(11))`

B

`x=(2)/(sqrt(11)) y+4 sqrt((15)/(11))`

C

` y=(2)/(sqrt(11)) x+4 sqrt((15)/(11))`

D

`y=4 sqrt((15)/(11)) x+(2)/(sqrt(11))`

Text Solution

Verified by Experts

The correct Answer is:
C
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