# For  the  two  circles  and , there is/are : Option 1)   one pair of common tangents      Option 2)  two pairs of common tangents     Option 3) three common tangents      Option 4)  no common tangent

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

Common tangents of two circle -

When they intersect, there are two common tangents, both of them being direct.

- wherein

Common tangents of two circles -

When two circles touch  each other externally, there are three common tangents, two of them are direct.

- wherein

Common tangents of two circles -

When two circles touch each other internally, there is only one common tangent.

- wherein

There will be no tangent.

Option 1)

one pair of common tangents

This option is incorrect.

Option 2)

two pairs of common tangents

This option is incorrect.

Option 3)

three common tangents

This option is incorrect.

Option 4)

no common tangent

This option is correct.

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