2005 A-Level H2 Mathematics
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Question 3Graphing Techniques
The curve $C$ has an equation $y=\frac{{{x}^{2}}}{x+\lambda }$,where $\lambda$ is a non-zero constant. Obtain the equations of the asymptotes of $C$.
In separate diagrams, sketch $C$ for the cases where
- $\lambda >0$,
- $\lambda <0$.
Final Answer:
Asymptotes: \(y = x - \lambda\), \(x = -\lambda\)