The curve $C_1$ is given by the equation $$y = \frac{ax^2 + bx}{x + c}$$ The curve $C_1$ has a v

Question

The curve $C_1$ is given by the equation $$y = \frac{ax^2 + bx}{x + c}$$ The curve $C_1$ has a vertical asymptote at $x = 2$. The linear oblique asymptote of $C_1$ passes through the points with coordinates $(0, 10)$ and $(-2, 0)$. Determine the values of the unknown constants $a$, $b$ and $c$. Hence sketch $C_1$, stating clearly the equation(s) of any asymptote(s) and the coordinates of any stationary point(s).

Accepted Answer

(i) $a=5$, $b=0$, $c=-2$

2014 NJC MYE Q7

2014 NJC MYE Q7

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