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2016 ACJC MYE Q4 The curve $C$ has parametric equation $x=3-2cos ,t$, $y=-tan ,t$ for $0<t<frac{pi }{2}$. Using differentiation, show that the curve $C$ does not have any stationary point.
2018 EJC P1 Q3 The parametric equations of curve $C$, is given as $x=at$, $y=a{{t}^{3}}$, where $a$ is a positive constant. (i) The point $P$ on the curve has parameter
YI Tutorial Q1 The parametric equations of a curve is given by $x={{sin }^{2}}t$, $y=3cos t$ for $0le tle pi $ (i) Find the cartesian equation of this curve. (ii)
2020 ACJC PROMO Q11 A curve $C$ has parametric equations $x=frac{1}{sqrt{1-4{{t}^{2}}}}$ and $y={{sin }^{-1}}2t$, for $-frac{1}{2}<t<frac{1}{2}$. (i) Show that $frac{text{d}y}{text{d}x}=2left( 1-4{{t}^{2}} right)$ and explain why the gradient is always positive
ACJC Tutorial Q2 A curve is given by the parametric equations $x={{t}^{2}}-3,,,y=t({{t}^{2}}-3)$. (a) Find the Cartesian equation. (b) Prove that the curve is symmetrical about the $x$-axis. (c) Show that
These Ten-Year-Series (TYS) worked solutions with video explanations for 1995 A Level H2 Mathematics Paper 2 Question 12 [Modified] are suggested by Mr Gan. For any comments or suggestions please
2007 AJC P1 Q12 (b) A curve is defined by the parametric equations $x=a{{t}^{2}},,y=2at.$ Show that the equation of the normal to the curve at the point $(a{{t}^{2}},,2at)$ is at
2017 IJC Promo Q8 A curve $D$ has parametric equations $x=1-cos theta $, $y=theta +sin theta $, for $0le theta le 2pi $. (i) Sketch the graph of $D$, stating
2018 SRJC P2 Q2 (i) A curve has parametric equations $x=tan theta $, $y=2sec theta $ for $0le theta <2pi $.The equation of the tangent to the curve at the
2016 MI P1 Q11 A curve $C$ has parametric equations $x={{sin }^{2}}theta $, $y=2sin theta -{{sin }^{3}}theta $, where $-frac{pi }{2}le theta le frac{pi }{2}$. (i) Find the value(s) of