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)