OCR H240/03 2022 June — Question 3

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2022
SessionJune
TopicCircles

3 The points \(P\) and \(Q\) have coordinates \(( 2 , - 5 )\) and \(( 3,1 )\) respectively.
Determine the equation of the circle that has \(P Q\) as a diameter. Give your answer in the form \(x ^ { 2 } + y ^ { 2 } + a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.