The curve $C$ has an equation $y=\frac{{{x}^{2}}}{x+\lambda }$,where $\lambda$ is a non-zero constan

Question

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 $\lambda >0$, $\lambda <0$.

Accepted Answer

Asymptotes: $y = x - \lambda$, $x = -\lambda$

N2005 P1 Q3 (FM)

N2005 P1 Q3 (FM)

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