These Ten-Year-Series (TYS) worked solutions with video explanations for 2018 A Level H2 Mathematics are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
Share with your friends!
Share with your friends!
Share with your friends!
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]
Share with your friends!
Share with your friends!
Share with your friends!
Share with your friends!
Share with your friends!
Share with your friends!
Share with your friends!
