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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


Question ID - 56691 | Toppr Answer

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

Answer Key : (c) -

(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,



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