Curve $C$ has equation $y = \frac{px^2 + qx + r}{x - 1}$, where $p$, $q$ and $r$ are

Question

Curve $C$ has equation $y = \frac{px^2 + qx + r}{x - 1}$, where $p$, $q$ and $r$ are real numbers. Given that $C$ has a turning point at $(3, 7)$ and an oblique asymptote parallel to the line $y = \frac{3}{2}x + \sqrt{5}$, find $p$, $q$ and $r$.[4]

Accepted Answer

$p = \frac{3}{2}, \; q = -2, \; r = \frac{13}{2}$

2025 NYJC P1 Q1

2025 NYJC P1 Q1

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