These Ten-Year-Series (TYS) worked solutions with video explanations for 2021 A Level H2 Mathematics Paper 1 Question 6 are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2021 A Level H2 Math Paper 1 Question 6
A curve $C$ has equation $y=\frac{1}{\sqrt{4ax-{{x}^{2}}}}$, where $a>0$.
(a)
Sketch $C$ and give the equations of any asymptotes, in terms of $a$ where appropriate.
[4]
(a) Sketch $C$ and give the equations of any asymptotes, in terms of $a$ where appropriate.
[4]
(b)
Find the smallest possible value of $y$ in terms of $a$.
[1]
(b) Find the smallest possible value of $y$ in terms of $a$.
[1]
(c)
Describe the transformation that maps the graph of $C$ onto the graph of $y=\frac{1}{\sqrt{4{{a}^{2}}-{{x}^{2}}}}$.
[3]
(c) Describe the transformation that maps the graph of $C$ onto the graph of $y=\frac{1}{\sqrt{4{{a}^{2}}-{{x}^{2}}}}$.
[3]
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