Find the point of intersection of the tangent lines.

Hi I need to write a function in Python, in which I have to find the point of intersection of two tangents of a circle.

I just need the mathematical formula. I would appreciate your help.

Following are the details:

**We are given following two information: **

(1) Two points on the circumference of a circle: P (x1, x2) and Q (y1, y2)

(2) The angle (A) at the intersection of the two tangent lines through the points P and Q.

To find: The point (x, y) at the intersection of the tangent lines.

Thank you.

Or the center of the circle

Or alternatively it will work for me **if we could find the CENTER of the circle when the ****two points** at the circumference and the **angle **at the center of the circle are given.