2015 NJC P1 Q7 (a)

2015 NJC P1 Q7 (a)

4 marks
Prelims

It is given that the curve \(C\) has equation

\(y=\frac{(x-1)(x-2)}{x-3},\mathrm{ }x\in \mathbb{R},\mathrm{ }x\ne 3.\)

Use an algebraic method to find exactly the set of values that \(y\) can take.[4]

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Answer:y ≤ 3 - 2√2 or y ≥ 3 + 2√2

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