If two circles touch each other externally, then the maximum number of common tangents to the circles is

4

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3

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2

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1

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Solution

The correct option is B $3$
If two circles touch each other externally then the number of common tangents to the circle is 3.
two tangents passing parallel to each other and one passing vertically in between the circles through the point of contact.

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Similar questions

∠ A C B

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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