Which of the following pair(s) of circles have / as a common external tangent? Select all that apply.
A and B
A and C
B and C

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Аноним Аноним · Answer 1 · 2019-07-24T13:07:01+02:00

Answer with explanation:

A tangent to a circle is a Line which touches a circle at a single point.

There can be Infinite number of tangents to a circle which are external only.

In the given figure:

⇒ There are three circles having Centers A, B and C.Circle having Center B lies inside the circle having center C.

⇒The three circles intersect at point T.

⇒The common tangent of these three circles passes through Point T.

⇒Circles having Center B and Center C , have a common external Tangent.

Option A,B and C:

→A and B

→A and C

→B and C

ankitprmr2 ankitprmr2 · Answer 2 · 2021-11-19T06:33:11+01:00

Tangent is the line that intersects the circle at a single point. Thus, Option A, B, and C all apply.

Three different circles are given in the question that is A, B, and C.

We have to determine the pair of circles that have a common external tangent.

Therefore, take circles A and B from the given figure.

Line " L " is the common tangent to both circles. It is clear from the figure that it is an external tangent to both circles.

Hence, Option A applies.

Now, take circles A and C from the given figure.

Line " L " is the common tangent to both circles. It is clear from the figure that it is an external tangent to both circles.

Hence, Option B applies.

Further, take the circles B and C from the given figure.

Line " L " is the common tangent to both circles. It is clear from the figure that it is an external tangent to both circles.

Hence, Option C applies.

Thus, Option A, B, and C all apply.

To know more about the tangents, please refer to the link:

https://brainly.com/question/16831668