The maximum number of common tangents drawn to two intersecting circles at two points is

1

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2

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3

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4

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Solution

The correct option is C $2$
Consider the two intersecting circle.
In this case the maximum number of common tangent drawn to intersecting circle is $2$ .
Hence, this is the answer.

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Similar questions

The maximum number of common tangents that can be drawn to two given circles is

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

If from any point on the common chord of two intersecting circles, tangents be drawn to the circles, prove that they are equal.

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