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Question

The common tangents to the circles x2+y26x=0 and x2+y2+2x=0 is/are

A
x=0
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B
3y=x+3
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C
3y+x+3=0
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D
y=0
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Solution

The correct option is C 3y+x+3=0
Using the section formulae we get P(3,0)
Now angle made by the tangents to the xaxis is
sinθ=12θ=30°
So the equation of the tangents will be
3y=±(x+3) and x=0

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