The centres of a set of circles, each of radius 3, lie on the circle The locus of any point in the set is
As we learnt in
Common tangents of two circle -
Where two circle neither intersect nor touch each other, there are 4 common tangents.Two are transverse and two are direct common tangents.
- wherein
and
Common tangents of two circle -
When they intersect, there are two common tangents, both of them being direct.
- wherein
and
Common tangents of two circles -
When two circles touch each other externally, there are three common tangents, two of them are direct.
- wherein
We should have
So,
Option 1)
This option is correct
Option 2)
This option is incorrect
Option 3)
This option is incorrect
Option 4)
This option is incorrect
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