Gce Model Questions Vol1 2022 Further Mathematics Question 11

Practice objective / multiple choice question 11 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 11 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

The curve is given by \(y = x^{3} - 6x^{2} + 9x + 2\). The line through the points \((1,4)\) and \((4,10)\) has a certain slope. Find the x‑coordinate of the point on the curve where the tangent line is parallel to this line and has x > 2.

Answer Options

A. 2+\frac{\sqrt{12}}{3}
Correct Answer B. 2+\frac{\sqrt{15}}{3}
C. 2+\frac{\sqrt{15}}{2}
D. 2-\frac{\sqrt{15}}{3}
Correct Answer
B
Correct Option:
2+\frac{\sqrt{15}}{3}

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 11. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support