Question

Describe a circle tangent to two given circles, one of the points of contact is given.

Answer 1

This is what I'm trying to do sort of lol, but it looks so damn weird. https://puu.sh/skVhC/89c17a765c.png

Answer 2

As I want the radius drawn from the point of tangency to be perpendicular for all circles, but I don't think that's possible haha

Answer 3

uh wait

Answer 4

oh baby that should do the trick, I don't even need that line m heh

Answer 5

I think..mhmm, these problems are pretty tough >.<

Answer 6

What is the exact problem ?

Answer 7

"Describe a circle tangent to two given circles, one of the points of contact is given."

Answer 8

Yup, that's how all the problems are, you get one little statement and you write 3 pages of proof figuring out what the heck to do.

Answer 9

Basically they gave us two circles in a plane and we have to find a circle that is tangent to both the circles ?

Answer 10

If I drew a secant for the circle notice how it will be a secant for all of the circles

Answer 11

Yes

Answer 12

They gave us one of the contact points also

Answer 13

Yup so I can say like that point A is given

Answer 14

Exactly, that's the plan :p

Answer 15

So you think that's fine assuming that huge shaded in black circle is the given point?

Answer 16

Is this going to be a messy coordinate geometry proof ? If so, we have to assume the centers of those two circles are also given..