Question

Which of the following pair(s) of circles have l as a common internal tangent? Select ALL that apply.

A and B
A and C
B and C

Answer 1

It looks like only A and B, but could be trick question?

Answer 2

A and B

A and C

Explanation:

Common internal tangents intersect the segment joining the centers of the two circles.

Tangent I is common internal tangent to circles A and B as the line joining the centers of circles will intersect the tangent I.

Tangent I is also a common internal tangent to circle A and C.The line joining the centers of circles A and C intersects tangent I .

Tangent I is not a common internal tangent to circles B and C,