7 In this question you must show detailed reasoning.
The points \(\mathrm { A } ( - 1,4 )\) and \(\mathrm { B } ( 7 , - 2 )\) are at opposite ends of a diameter of a circle.
- Find the equation of the circle.
- Find the coordinates of the points of intersection of the circle and the line \(y = 2 x + 5\).
- Q is the point of intersection with the larger \(y\)-coordinate.
Calculate the area of the triangle ABQ .