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Q.

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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a

4

b

3

c

2

d

1

answer is A.

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Detailed Solution

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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