Question

Which of the following pair(s) of circles are externally tangent? Select all that apply.

Answer 1

Answer:

B & C

Step-by-step explanation:

Hello, the answer to your question would be the above, based off of the common external tangent definition.

A common external tangent does not intersect the line segment joining the centers of circles.

Therefore, viewing the graph, we can deduce that B & C is the correct answer.

The other two are internally tangent, due to the fact they intersect the line segment adjoining the circle centers.

Hope it helps.

Answer 2

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