Question

There are 2 circles say A, B. A has 20 units radius and B has 10 units radius and distance from centers of A and B is 40 units. Where will be the intersection point of external tangents?

(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

I had been asked this question in homework.

I want to ask this question from Drawing Tangents and Normals for Different Conditions of Circle in section Geometrical Construction of Engineering Drawing

Answer 1

The correct option is (b) to the right of the two circles

To elaborate: A has 20 units radius and B has 10 units radius. So, the tangents go along the circles and meet at after the second circle that is B that is the right side of both circles. And we asked for external tangents so they meet away from the circles but not in between them.