Respuesta :
Answer:
Point T is on the circle
Step-by-step explanation:
To check where the point lies, we need to find its distance to the center of the circle.
The distance between two points (x1, y1) and (x2, y2) is given by:
[tex]distance = \sqrt[2]{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
If the first point is O(0,0) and the second is T(5, -2), we have:
[tex]distance = \sqrt[2]{(5 - 0)^{2} + (-2 - 0)^{2}}[/tex]
[tex]distance = \sqrt{29}[/tex]
The distance between the points is equal the radius of the circle, that means the point T is on the circle.
