A curve has the equation x2−xy+y2=12x^2 - xy + y^2 = 12x2−xy+y2=12
The gradient of the tangent to the curve is 1 at the points P P\,P and QQQ.
Show that x+y=0x + y = 0x+y=0 at P P\,P and QQQ.
Find the coordinates of P P\,P and QQQ.
Practise Edexcel A Level Maths 9.8 Implicit Differentiation with exam-style questions for A Level Maths. 48 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
