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Question

Which of the following statements is/are correct?

1. With respect to a tangent both the circles lie on the same side, this tangent is called direct common tangent.

2. With respect to a tangent both the circles lie on the opposite side, this tangent is called transverse (indirect) common tangent.


A

Only 1

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B

Only 2

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C

Both 1 & 2

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D

None of these

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Solution

The correct option is C

Both 1 & 2


This is the definition of direct & transverse common tangents.

Both the statements are correct.

For eg:

In the given figure straight lines 1 & 2 are direct common tangents because both the circles lie on the same side while straight line 3 & 4 are transverse common tangents because both the circles lie on the opposite sides.


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