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2018 EJC Promo Q9 The curve $C$ has equation $y=frac{{{x}^{2}}+ax-4}{x+b}$, where $a$ and $b$ are constants, and $xne -b$. It is given that the asymptotes of $C$ are $y=x-2$ and
2018 RI Promo Q9 The curve $C$ has equation $y=frac{{{x}^{2}}+3x-1}{x-2}$, $xin mathbb{R}$, $xne 2$. (i) Using an algebraic method, find the range of values that $y$ can take. [4] (ii)
These Ten-Year-Series (TYS) worked solutions with video explanations for 2007 A Level H2 Mathematics Paper 1 Question 11 are suggested by Mr Gan. For any comments or suggestions please contact
2008 AJC P1 Q12 [Modified] A curve $C$ has parametric equations $x=ln (2t)$, $y={{tan }^{-1}}(2t)$, where $t>0$. (i) Describe the behaviour of the curve $C$ as $xto infty $ and
These Ten-Year-Series (TYS) worked solutions with video explanations for 2011 A Level H2 Mathematics Paper 1 Question 3 are suggested by Mr Gan. For any comments or suggestions please contact
2019 DHS P1 Q7 A curve $C$ has parametric equation $x=4sin 2theta -2$, $y=3-4cos 2theta $ for $0le theta <pi $. (i) Find a cartesian equation of $C$. Give the
2018 TJC P2 Q1 A curve $C$ has parametric equations $x=2{{e}^{t}}$, $y={{t}^{3}}-t$, where $-1le tle frac{3}{2}$. (i) Find $frac{text{d}y}{text{d}x}$ in terms of $t$. Hence find the exact equations of the
2018 SRJC P1 Q5 (ii) The curve $C$ is defined by the parametric equations $x=2t-2ln left( t+1 right)+2$, $y=-2t-2ln left( t+1 right)+1$ where $t>-1$. Another curve $L$ is defined by
2018 NYJC P1 Q8 A curve $C$ is represented by the parametric equations $x={{t}^{2}}(t+6)$, $y={{t}^{2}}+t-6$, for $t<0$. (i) Find the equation(s) of the tangent to the curve $C$ which is
2018 HCI P1 Q6 A curve $C$ has parametric equations $x=2sin t$, $y=1+cos t$, $0<t<pi $ (i) Show that the equation of the tangent to $C$ at the point $P(2sin