2024 A-Level H2 Mathematics
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Question 1Linear Equations and Inequalities4 marks
The graph of \(y=\frac{x+1}{a{{x}^{2}}+bx+c}\), where \(a\), \(b\) and \(c\) are non-zero constants, has an asymptote at \(x=-\frac{1}{2}\).
The graph also has a turning point at \(\left( -2,\ -\frac{1}{9} \right)\).
Find the values of \(a\), \(b\) and \(c\).[4]
Final Answer:
\(a = 2, b = -1, c = -1\)