Question

Identify two common internal tangents.

A. EF and DC
B. AB and GH
C. BC and CD
D. EF and GH

Answer 1

check the picture below, those red ones

internal tangents are the ones touching both circles and in between

Answer 2

D. EF and GH

Explanation:

Common internal tangent : A tangent of two circles is called a common internal tangent when the tangent intersects the line segment joining the center of the circles.

Here, AB, CD, GH and EF are tangent lines of the circles,

But, the intersection of AB and line joining the center as well as the intersection of CD and line joining the center is emptied,

Hence, Option A, B, C can not be correct.

Also, both tangent lines EF and GH can intersect the line segment joining the center of the circles.

Hence, Option 'D' correct