OCR MEI Paper 3 2021 November — Question 8

Exam BoardOCR MEI
ModulePaper 3 (Paper 3)
Year2021
SessionNovember
TopicPolynomial Division & Manipulation

8 For a particular value of \(a\), the curve \(\mathrm { y } = \frac { \mathrm { a } } { \mathrm { x } ^ { 2 } }\) passes through the point \(( 3,1 )\).
Find the coordinates of all the other points on the curve where both the \(x\)-coordinate and the \(y\)-coordinate are integers.