Which of the following have transverse tangents?

Two concentric circles.

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Non-intersecting circles.

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Two circles touching internally.

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Circles intersecting at two distinct points.

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Solution

The correct option is B Non-intersecting circles.
For the two circles with centers A and B, CD and EF are the transverse common tangents (Only two transverse common tangents are possible).
Non-intersecting circles have transverse tangents

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Similar questions

Find the number of common tangents when circles are non intersecting, intersecting, externally touching, internally touching to each other.

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 two circles intersect at two distinct points, there are ___ tangents that are common to both the circles.

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