Points A(-l, y) and B(5,7) lie on a circle with centre 0(2, -3y). Find the values of y. Hence, find the radius of the circle

The answer is below

Step-by-step explanation:

Points A(-l, y) and B(5,7) lie on a circle with centre O(2, -3y). This means that AB is the diameter of the circle and OA = OB = radius.

For two points X() and Y(), the coordinates of the midpoint (x, y) between the two points is given as:

.

For A(-l, y) and B(5,7) with center O(2, -3y), the value of y can be gotten by:

The value of y is -1. Therefore A is at (-1, -1) and O is at (2, -3(-1))= (2, 3)

The radius of the circle = OA. The distance between two points X() and Y() is given as:

The radius of the circle is 5 units

step-by-step explanation: