I understand. The correct answer is (B).Lnewqban said:
I am not sure about that answer, songoku.songoku said:
No, it is not official answer. It is my own answer.Lnewqban said:
Your reasoning and working are perfect.songoku said:
Wow, that's amazing.Lnewqban said:
Common tangents of two circles are straight lines that touch both circles at exactly one point without crossing them. There are two types of common tangents: external tangents, which lie outside both circles, and internal tangents, which lie between the circles.
Two circles can have a maximum of four common tangents: two external tangents and two internal tangents. However, the actual number of common tangents depends on the relative positions and sizes of the circles.
Two circles have no common tangents when one circle is completely inside the other without touching it. In this case, there are no lines that can touch both circles at a single point.
Two circles have exactly one common tangent when they are tangent to each other at a single point. This occurs either when the circles touch externally (one external tangent) or when one circle is internally tangent to the other (one internal tangent).
Yes, common tangents can be determined using the radii and centers of the circles. The distances between the centers and the radii of the circles are used to calculate the existence and types of common tangents through geometric or algebraic methods.