Points `A(-1, y)` and `B(5,7)` lie on a circle with centre `O(2,-3y)dot` Find the values of `ydot` Hence, find the radius of the circle.

Explanation

To solve the problem, we need to find the values of \( y \) such that points \( A(-1, y) \) and \( B(5, 7) \) lie on a circle with center \( O(2, -3y) \). We will also find the radius of the circle.

### Step 1: Write the equation of the circle

The general equation of a circle with center \( (h, k) \) and radius \( r \) is given by:

\[
(x - h)^2 + (y - k)^2 = r^2
...