OCR MEI Paper 2 2023 June — Question 6

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2023
SessionJune
TopicParametric equations

6 The parametric equations of a circle are
\(x = 2 \cos \theta - 3\) and \(y = 2 \sin \theta + 1\).
Determine the cartesian equation of the circle in the form \(( \mathrm { x } - \mathrm { a } ) ^ { 2 } + ( \mathrm { y } - \mathrm { b } ) ^ { 2 } = \mathrm { k }\), where \(a , b\) and \(k\) are integers.