A Unit circle has center at (5,0) and second circle with a radius 2 units has its center at (11,0). A common tangent to both circles intersects x-axis at Q(a,0) what is value of a

geoNewbie21 Apr 4, 2021

#2**0 **

Hi,

Could you please explain how you arrived at the answer? I would like to understand how to solve these problems.

Thanks

geoNewbie21 Apr 4, 2021

#4

#5**+3 **

I think both of you are correct. (At least regarding the word common )

In Alan's case, the tangent is called a Common external tangent. (or common direct tangent)

In your case, it's called a **Common internal tangent. (or common indirect tangent)**

**But if circles are tangent to each other, then there are 2 external and 1 internal tangent.**

**Which one of these two is more common? **

Btw, the first answer is mine.

jugoslav
Apr 5, 2021