Question

There are 2 circles say A, B. A is smaller than B and they are not intersecting at any point. Where will be the intersection point of internal tangents for these circles?

(a) to the left of two circles

(b) to the right of the two circles

(c) middle of the two circles

(d) they intersect at midpoint of line joining the centers

The question was posed to me in an interview for internship.

This interesting question is from Drawing Tangents and Normals for Different Conditions of Circle topic in chapter Geometrical Construction of Engineering Drawing

Answer 1

Correct answer is (b) to the right of the two circles

To explain: A is smaller than B so the intersection point of internal tangents will not be on the midpoint of the line joining the centers. And we asked for internal tangents so they will not meet away from the circles. They meet in between them.