Gce Model Questions Vol1 2025 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 14 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

Consider the matrix \(A=\begin{pmatrix}2&x&1\\0&3&y\\4&0&6\end{pmatrix}\). It is known that \(\det A =0\) and that \(x\) and \(y\) are integers with \(|x|\le5\) and \(|y|\le5\). List all possible ordered pairs \((x,y)\) that satisfy these conditions.

Answer Options

A. (-2,3), (2,-3), (-3,2), (2,2)
B. (-2,3), (2,-3), (-3,-2), (3,2)
C. (-2,-3), (2,3), (-3,2), (3,-2)
Correct Answer D. (-2,3), (2,-3), (-3,2), (3,-2)
Correct Answer
D
Correct Option:
(-2,3), (2,-3), (-3,2), (3,-2)

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 14. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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