Question

A circle in the standard (x,y) coordinate plane h center C(-1,2) and passes through A(2,6). Lir segment bar (AB) is a diameter of this circle. What are t coordinates of point B ?

Answer 1

The coordinates of point B are (-2, -6).

Step-by-step explanation:

To find the coordinates of point B, we first need to find the midpoint of line segment AB, which will be the center of the circle. The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates. In this case, the midpoint is (-1, 2). Since this is the center of the circle, the coordinates of point B will be equal to the opposite of the coordinates of point A, with respect to the center. Therefore, point B has coordinates (-2, -6).