2025 AHS PRELIMS P2 Q7

2025 AHS PRELIMS P2 Q7

Secondary 4
3 marks

The position vector of point \(C\) is \(\begin{pmatrix}2\\-3\end{pmatrix}\). The position vector of point \(D\) is \(\begin{pmatrix}4\\h\end{pmatrix}\). \(|\overrightarrow{CD}|=\sqrt{20}\). Find the two possible values of \(h\).[3]

Solution:

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Answer:\(h=1\) or \(h=-7\)

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