Skip to main content
A-LevelFurther MathematicsCalculus (Implicit Differentiation & Stationary Points)Oct/Nov 2016Paper 1 Q811 Marks

A curve C has equation x² + 4xy – y² + 20 = 0. Show that, at stationary points on C, x = −2y. Find the coordinates of the stationary points on C, and determine their nature by considering the value of d²y/dx² at the stationary points.

✓ Correct Answer

The correct answer is . This question tests the candidate's understanding of calculus (implicit differentiation & stationary points) within the Further Mathematicssyllabus. The examiner's mark scheme requires...

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🔒

Unlock the Examiner's Answer

Sign up for free to reveal the correct answer, the official mark scheme breakdown, and the examiner trap analysis for this question.

Sign Up Free to Unlock →

Join thousands of Cambridge students already using Oracle Prep

About This A-Level Further Mathematics Question

This structured question appeared in the Cambridge A-Level Further Mathematics (9231) Oct/Nov 2016 examination, Paper 1 Variant 2. It tests the topic of Calculus (Implicit Differentiation & Stationary Points) and is worth 11 marks.

Oracle Prep provides AI-powered practice for all Cambridge O-Level and A-Level subjects. Our platform includes topic predictions with 87.7% accuracy, AI essay grading, and a comprehensive question bank spanning 25 years of past papers.

© 2026 Oracle Prep — The AI-Powered Cambridge Exam Engine