Locus of a point

[A dummy progression]

Can someone help me?? Explain to me what sould do? I tried to use the method to find the tangents from a point exterior to the circle and the angle formed by two lines but i don't have any information.

Can someone help me?

 

[Dr.Peterson]

Apparently you are taking "circumscribed to the circle" as meaning "circumscribed by the circle"; I'm not used to the word "to" in this context, so I need to check that you are sure of its meaning. (It could be taken to mean "circumscribed about the circle".)

Also,

1. in your drawing you don't show angle AMC;
2. I wouldn't take "the angle of the tangents" as meaning MPQ;
3. the square you've drawn would be called ABDC, not ABCD, so you should probably relabel it. That will make a big change.

 

[Dr.Peterson]

Here is my version of your interpretation of the problem:



I am convinced that the locus in this case is empty.

Here is an interpretation that has a nice solution: