There are two circles whose equations are and . If the two circles have exactly two common tangents then the number of possible values of is |
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a) |
2 |
b) |
8 |
c) |
9 |
d) |
None of these |

There are two circles whose equations are and . If the two circles have exactly two common tangents then the number of possible values of is |
|||||||

a) |
2 |
b) |
8 |
c) |
9 |
d) |
None of these |

1 Answer - 5876 Votes

3537

**(c)**

For , the centre and the radius

For ,

The centre and the radius

or or

Circles should cut to have exactly two common tangents

So, (distance between centres)

or

or

or

Therefore, common values of should satisfy

But . So,