Gce Model Questions Vol1 2020 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 14 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

The curve is defined by \(x^{3}+y^{3}=6xy\). (i) Find \(\frac{dy}{dx}\) at the point \((3,3)\). (ii) Write the equation of the normal line to the curve at that point.

Answer Options

A. dy\/dx = 0; normal line: y = x
B. dy\/dx = -1; normal line: y = -x
Correct Answer C. dy/dx = -1; normal line: y = x
D. dy\/dx = 2; normal line: y = x + 6
Correct Answer
C
Correct Option:
dy/dx = -1; normal line: y = x

About This Question

This is Gce Model Questions Vol1 2020 Further Mathematics Question 14. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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