Gce Model Questions Vol1 2017 Further Mathematics Question 5

Practice objective / multiple choice question 5 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 5 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

The system of equations\n\\[\n\begin{cases}\n(p+1)x + 2y - z = 3\\\n4x + (p-2)y + 5z = p\\\n-2x + y + (p+3)z = 4\n\end{cases}\n\\]\ndepends on the real parameter \(p\). (a) State the condition on \(p\) for which the system has a unique solution. (b) For \(p=2\) find the value of \(x\).

Answer Options

A. unique for all real p except the real root of p^{3}+2p^{2}-20p-55=0 (≈4.718); for p=2, x = -5\/79
B. unique for all real p except the real root of p^{3}+2p^{2}-20p-55=0 (≈4.718); for p=2, x = 3\/79
Correct Answer C. unique for all real p except the real root of p^{3}+2p^{2}-20p-55=0 (≈4.718); for p=2, x = -3/79
D. unique for all real p except the real root of p^{3}+2p^{2}-20p-55=0 (≈4.718); for p=2, x = -3\/78
Correct Answer
C
Correct Option:
unique for all real p except the real root of p^{3}+2p^{2}-20p-55=0 (≈4.718); for p=2, x = -3/79

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 5. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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