2020 VJC J1 MYE Q7
Timothy Gan
22nd September 2023
2020 VJC J1 MYE Q7 A curve $C$ has parametric equations $x=sin t-frac{1}{2}t,$ $y=cos t,$ for $0<t<pi $ (i) Show that the equation of the normal to $C$ at the
Parametric Equations
Timothy Gan
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2018 HCI Promo Q5
Timothy Gan
16th August 2023
2018 HCI Promo Q5 A curve $C$ has parametric equations $x=ln left( cos 2theta right)$, $y=ln left( sin 2theta right)$, where $0<theta <frac{pi }{4}$. (i) Show that the gradient of
N2015 P1 Q11
Timothy Gan
2nd August 2023
These Ten-Year-Series (TYS) worked solutions with video explanations for 2015 A Level H2 Mathematics Paper 1 Question 11 are suggested by Mr Gan. For any comments or suggestions please contact
ACJC Tutorial 13 Q1
Timothy Gan
2nd August 2023
ACJC Tutorial 13 Q1 The parametric equations of a curve $C$ are $x=1-sin t$ and $y=cos t$, $0le tle 2pi $. (i) Find $frac{text{d}y}{text{d}x}$. [1] (ii) Find the exact value(s)
2008 CJC J1 MYE Q2
Timothy Gan
10th July 2023
Home 2008 CJC J1 MYE Q2 Find the cartesian equation of the curve with parametric equations: $x=-4t-frac{1}{t}$, $y=3t+frac{1}{2t}$, $tin mathbb{R}$, $tne 0$. Suggested Video Solutions Suggested Handwritten Solutions Written by Did You
2022 NYJC J1 CT Q4
Timothy Gan
15th June 2023
2022 NYJC J1 CT Q4 The curve $C$ has parametric equations $x=5alpha sec theta $, $y=3alpha tan theta $, where $-frac{pi }{2}<theta <frac{pi }{2}$ and $alpha $ is a positive
N2009 P2 Q1
Timothy Gan
12th May 2023
These Ten-Year-Series (TYS) worked solutions with video explanations for 2009 A Level H2 Mathematics Paper 2 Question 1 are suggested by Mr Gan. For any comments or suggestions please contact
2005 TJC P2
Timothy Gan
24th April 2023
Home 2005 TJC P2 Urn $1$ contains $5$ black balls and $3$ red balls. Urn $2$ contains $4$ black balls and $4$ red balls. An experiment is conducted in the
NJC Tutorial Curve Sketching Q10
Timothy Gan
20th April 2023
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
Timothy Gan
20th April 2023
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