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Circle

If two circle...

Question

If two circles touch each other externally then the 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 externally ,three common tangents can be drawn.In the given figure three tangents are AB,CD and EF .

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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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