A curve has the equation 3x2+xy+y2=203x^2 + xy + y^2 = 203x2+xy+y2=20
The gradient of the tangent to the curve is 43\displaystyle \frac{4}{3}34 at the points P P\,P and QQQ.
Show that 2x+y=02x + y = 02x+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.
