Neco 2018 Further Mathematics Question 37

Practice objective / multiple choice question 37 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Hard Difficulty
Question 37 NECO • 2018 • FURTHER_MATHEMATICS • objective

A linear transformation \(T\) in \(\mathbb{R}^{2}\) is represented by the matrix \(A=\begin{pmatrix}a&b\\c&d\end{pmatrix}\). It maps \((1,2)\) to \((3,5)\) and maps \((2,-1)\) to \((k,4)\). If the transformation doubles the area of any triangle (i.e. \(|\det A|=2\)), find the value of \(k\).

Answer Options

A. \frac{22}{7}
B. \frac{20}{5}
C. \frac{24}{5}
Correct Answer D. \frac{22}{5}
Correct Answer
D
Correct Option:
\frac{22}{5}

About This Question

This is Neco 2018 Further Mathematics Question 37. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Hard .

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