NYJC Graphing Techniques Tutorial Q8 Sketch the curves given parametrically by the following equations and find the Cartesian equations of these curves: (a) $x=1-t$, $y=2{{t}^{2}}$, where $t<1$ (b) $x=sin theta
NYJC Basic Graphing Techniques Assignment Q3 On the same axes, sketch the graphs of ${{y}^{2}}=-3x$ and $y=ln left( x+1.5 right)$. Give the equations of the asymptotes and the exact coordinates
NYJC Basic Graphing Techniques Assignment Q2 The curve $y=text{f}left( x right)$ for $0le x<3$ is shown below. It is given that $text{f}$ is an odd function, $text{f}left( -x right)=-text{f}left( x
Show circle $C$ passing through $Pleft( p,0 right)$, $Qleft( 0,q right)$and the origin has equation ${{x}^{2}}-px+{{y}^{2}}-qy=0$ (*) Let $p$ and $q$ be positive real numbers. Let $P$ denote the point
2023 JPJC P1 Q4 The curve $C$ has equation $y=frac{{{x}^{2}}+x+3}{x-2}$. (i) Without using a calculator, find the set of values that $y$ can take. [4] (ii) Sketch the graph of
These Ten-Year-Series (TYS) worked solutions with video explanations for 2022 A Level H2 Mathematics Paper 1 Question 10 are suggested by Mr Gan. For any comments or suggestions please contact
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
2022 VJC Promo Q8 A curve $C$ has equation $y=frac{{{x}^{2}}-2x+7}{x-3}$. (i) Using an algebraic method, find the range of values that $y$ cannot take. Leave your answer in exact form.
2020 EJC Promo Q3 (i) Sketch the curve with equation $y=frac{{{x}^{2}}+9x-5}{x+10}$, indicating clearly the equations of any asymptotes, the coordinates of any points where the curve crosses the axes and
2022 EJC Promo Q5 (a) Sketch the graph of ${{y}^{2}}-{{left( x-3 right)}^{2}}=1$, labelling all essential features. [3] (b) Find the set of values of $m$ such that the line $y=mleft(