Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.
NJC Tutorial Curve Sketching Q10 A particle of negligible size is lodged onto the circumference of a circular wheel of radius $1$. Initially, the wheel is at rest with its
NJC Tutorial Curve Sketching Q7 A satellite is orbiting sound around the planet Earth. Taking the plane of its orbit as the $xtext{-}y$ plane, the position of the satellite is
NJC Tutorial Curve Sketching Q4 Sketch the curve with equations $y=frac{6x+25}{8x+12}$ and ${{x}^{2}}+{{y}^{2}}=frac{125}{16}$ on the same diagram. Hence, or otherwise, solve the equation ${{x}^{2}}+{{left( frac{6x+25}{8x+12} right)}^{2}}=frac{125}{16}$. Suggested Video Solutions Suggested
These Ten-Year-Series (TYS) worked solutions with video explanations for 2019 A Level H2 Mathematics Paper 1 Question 3 are suggested by Mr Gan. For any comments or suggestions please contact
2019 ASRJC Promo Q6 (a) It is given that $text{f}left( x right)=left{ begin{matrix}& 2+sqrt{9-{{left( x-3 right)}^{2}}},,,,,text{for},,,,0<x<6, \&2,,,,,,,,,,,,,,,,,,,text{for},,,,,6le xle 12. \ end{matrix} right.$ and that $text{f}left( x right)=text{f}left( x+12 right)$ for
2018 AJC Promo Q4 The curve ${{C}_{1}}$ has equation $y=frac{{{x}^{2}}-5x+10}{x-2}$, $xne 2$. The curve ${{C}_{2}}$ has equation ${{x}^{2}}-{{y}^{2}}=4$. (i) Sketch ${{C}_{1}}$ and ${{C}_{2}}$ on the same diagram, indicating any points
2021 VJC Promo Q4 The diagram below shows the graph of $y=text{f}left( -x+1 right)$ which has a minimum point at $left( -2,4 right)$ and has lines $y=frac{x}{2}+4$ and $y=-frac{x}{2}+2$ as
2021 VJC P1 Q2 (i) Given that $a$ is a positive constant, sketch the curve with equation $y=frac{x+a}{x-a}$. State the equations of any asymptotes and the coordinates of the points
2020 VJC J1 MYE Q8 (i) Find the exact roots of the equation $2left| {{x}^{2}}-12x right|=x+3$. [4] (ii) On the same axes, sketch the curves with equations $y=2left| {{x}^{2}}-12x right|$
2021 MI P1 Q6 (i) Sketch the curve with equation $y=left| frac{1}{a-x} right|$, where $a$ is a positive constant. State, in terms of $a$, the equations of the asymptotes and