Ten-Year-Series (TYS) Solutions | Past Year Exam Questions

2018 A Level H2 Math

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2018 A Level H2 Math Paper 1 Question 1
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2018 A Level H2 Math Paper 1 Question 5
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2018 A Level H2 Math Paper 1 Question 6
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2018 A Level H2 Math Paper 1 Question 7

A curve $C$ has equation $\frac{{{x}^{2}}-4{{y}^{2}}}{{{x}^{2}}+x{{y}^{2}}}=\frac{1}{2}$.

(i)

Show that $\frac{\text{d}y}{\text{d}x}=\frac{2x-{{y}^{2}}}{2xy+16y}$.

[3]

(i) Show that $\frac{\text{d}y}{\text{d}x}=\frac{2x-{{y}^{2}}}{2xy+16y}$.

[3]

The points $P$ and $Q$ on $C$ each have $x$-coordinate $1$. The tangents to $C$ at $P$ and $Q$ meet at the point $N$.

(ii)

Find the exact coordinates of $N$.

[6]

(ii) Find the exact coordinates of $N$.

[6]

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2018 A Level H2 Math Paper 1 Question 9
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2018 A Level H2 Math Paper 1 Question 10
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2018 A Level H2 Math Paper 1 Question 11
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2018 A Level H2 Math Paper 2 Question 4
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2018 A Level H2 Math Paper 2 Question 6
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2018 A Level H2 Math Paper 2 Question 7
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