OCR H240/01 2022 June — Question 7

Exam BoardOCR
ModuleH240/01 (Pure Mathematics)
Year2022
SessionJune
TopicImplicit equations and differentiation

7 A curve has equation \(2 x ^ { 3 } + 6 x y - 3 y ^ { 2 } = 2\).
Show that there are no points on this curve where the tangent is parallel to \(y = x\).