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Equation of a common tangent to the circ...

Equation of a common tangent to the circle `x^(2)+y^(2)-6x=0` and the parabola `y^(2)=4x` is

A

`2sqrt(3)=12x+1`

B

`sqrt(3)y=x+3`

C

`2sqrt(3)=-x-12`

D

`sqrt(3)y=3x+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Equation of tangent to parabola is `y=mx+1/m`
For it to be tangent to the circle `|(3m+1/m)/(sqrt(m^(2)+1))|=3impliesm=+-1/(sqrt(3))`
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