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Co - ordinate Geometry Circles
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Q.
The number of common tangents to the circles x
2
+y
2
-4x-6y-12=0 and x
2
+y
2
+6x+18y+26=0 is
A.
1
B.
2
C.
3
D.
4
E.
None of the above
View Answer
Correct choice: C
Explanation:
Centres of circles are C
1
(2,3) and C
2
(-3,-9) and their radii are r
1
= 5 and r
1
= 8.
Obviously r
1
+r
2
= C
1
C
2
i.e., circles touch each other externally. Hence there are three common tangents.
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