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The circle x^(2)+y^(2)-8x=0 and hyperbol...

The circle `x^(2)+y^(2)-8x=0` and hyperbola `(x^(2))/(9)-(y^(2))/(4)=1` intersect at the points `A` and `B`. The equation of a common tangent with positive slope to the circle as well as to the hyperbola, is

A

`2x-5sqrt(y)-20=0`

B

`2x-sqrt(5)y+4=0`

C

`3x-4y+8=0`

D

`4x-3y+4=0`

Text Solution

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The correct Answer is:
B
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