Moderate -0.8 This is a straightforward application of the circle-from-diameter formula requiring finding the midpoint (center) and radius, then expanding to the required form. It involves only routine coordinate geometry techniques with no problem-solving insight needed, making it easier than average but not trivial due to the algebraic manipulation required.
The points \(P\) and \(Q\) have coordinates \((2, -5)\) and \((3, 1)\) respectively.
Determine the equation of the circle that has \(PQ\) as a diameter. Give your answer in the form \(x^2 + y^2 + ax + by + c = 0\), where \(a\), \(b\) and \(c\) are integers. [4]
The points $P$ and $Q$ have coordinates $(2, -5)$ and $(3, 1)$ respectively.
Determine the equation of the circle that has $PQ$ as a diameter. Give your answer in the form $x^2 + y^2 + ax + by + c = 0$, where $a$, $b$ and $c$ are integers. [4]
\hfill \mbox{\textit{OCR H240/03 2022 Q3 [4]}}