# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | Oct-Nov | (P2-9709/21) | Q#8

Question The equation of a curve is y2 + 2xy − x2 = 2. i. Find the coordinates of the two points on the curve where x = 1. ii. Show by differentiation that at one of these points the tangent to the curve is parallel to the x- […]