Question

Rule of the power of point A

Answer 1

[AI-generated answer — Bot GPT 3.5]

The Rule of the Power of Point A states that if a line or a circle intersects a circle at two points, and a point A is located on this line, then the product of the lengths of the segments formed by the line and the circle on point A is equal to the square of the distance between point A and the center of the circle.

Mathematically, if point A is located on the line, and the distances between point A and the two points of intersection of the line and circle are denoted as p and q, and the distance between point A and the center of the circle is denoted as d, then the rule states:

p * q = d²