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How many common tangents can be drawn to the following circles $x^{2} + y^{2} = 6 x$ and $x^{2} + y^{2} + 6 x + 2 y + 1 = 0 ?$

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Correct option is A

The coordiantes of the centres of the given circles are: C1(3,0),C2(−3,−1) and corresponding radii are r1=3 and r2=3, respectively.Now, C1C2=37>r1+r2So, 4 common tangents can be drawn to the given circles.

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How many common tangents can be drawn to the following circles x2+y2=6x and x2+y2+6x+2y+1=0?

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Ready to Test Your Skills?

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How many common tangents can be drawn to the following circles $x^{2} + y^{2} = 6 x$ and $x^{2} + y^{2} + 6 x + 2 y + 1 = 0 ?$