If ( - 1, 3) and (, β) are the extremities of the diameter of the circle x2 + y2 – 6x + 5y – 7 = 0, find the coordinates (, β).

Given x2 + y2 – 6x + 5y – 7 = 0


Centre( 3, )


As ( - 1, 3) & (, β) are the 2 extremities of the diameter, using mid - point formula we can write




and



(, β) = (7, - 8)


1