If two circles touch externally, then number of common tangents is

2

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3

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1

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0

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Solution

The correct option is B $3$

$\Rightarrow$ In the diagram, we have two circles with center $A$ and center $B$ touching externally.

$\Rightarrow$ Tangents $m, n$ and $l$ are direct common tangent touches circle..

$∴$ If two circles touch externally, then the number of common tangents is $3$

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Similar questions

r_{1}

r_{2}

With respect to position of two circles which of the following statements is/are correct?

1. If one circle lies completely outside the other circle,

Number of direct common tangents = 2

Number of transverse common tangents = 2

2. If two circles touch each other externally

Number of direct common tangents = 2

Number of transverse common tangents = 1

3. If two circles touch each other internally

Number of direct common tangents = 1

Number of transverse common tangents = 0

4. If two circles intersect each other at two points

Number of direct common tangents = 2

Number of transverse common tangents = 0

5. If one circle lies completely inside the other circle

Number of direct common tangents = 0

Number of transverse common tangents = 0

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