Neco 2019 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 14 NECO • 2019 • FURTHER_MATHEMATICS • objective

The curve is defined by \(x^{2}y + y^{2}=12\).\n(a) Find \(\dfrac{dy}{dx}\) at the point \((2,2)\).\n(b) Write the equation of the tangent line at that point.\n(c) Determine the x‑intercept of this tangent line.

Correct Answer A. dy/dx = -1; tangent: y = -x + 4; x‑intercept = 4

B. dy\/dx = -1; tangent: y = -x + 4; x‑intercept = 5

C. dy\/dx = -2; tangent: y = -2x + 6; x‑intercept = 3

D. dy\/dx = -1; tangent: y = -x + 5; x‑intercept = 5

Correct Answer

Correct Option:

dy/dx = -1; tangent: y = -x + 4; x‑intercept = 4

This is Neco 2019 Further Mathematics Question 14. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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