ACJC Parametric Equations Tutorial 4 Q7 The pirate ship Shark is chasing down a ship Arica loaded with treasure. On a rectangular grid in units of kilometres at time $t=0$,
2012 NJC P1 Q2 Relative to the origin $O$, the position vectors of the points $A$, $B$ and $P$ are $-mathbf{i}-3mathbf{j}+2mathbf{k}$, $5mathbf{i}+2mathbf{k}$ and $left( 1+2lambda right)mathbf{i}+left( lambda -2 right)mathbf{j}+2mathbf{k}$ respectively,
2018 EJC Promo Q5 (a) Given that $mathbf{u}$ and $mathbf{v}$ are non-zero vectors such that $mathbf{u}times mathbf{v}=left( mathbf{u}-mathbf{v} right)times left( mathbf{u}+mathbf{v} right)$, what can be deduced about $mathbf{u}$ and $mathbf{v}$?
RI Parametric Equations Tutorial Q11 The parametric equations of a curve are $x=at$, $y=a{{t}^{2}}$ where $a$ is a positive constant. The points $Pleft( ap,,,a{{p}^{2}} right)$ and $Qleft( aq,,,a{{q}^{2}} right)$ lie
2015 NYJC P1 Q9 (a) A geometric sequence ${{x}_{1}}$, ${{x}_{2}}$, ${{x}_{3}}$, … has first term $a$ and common ratio $r$, where $a>0$, $r>0$. The sequence of numbers ${{y}_{1}}$, ${{y}_{2}}$, ${{y}_{3}}$,
TJC Inequalities Tutorial Q10 (i) A wooden artwork is designed to take the form of a right pyramid with square base of sides $2x$m and fixed volume $frac{4}{3}$m$^{3}$. All its
HCI Sequence and Series Tutorial Q7 The Sierpinski sieve, which is an example of a fractal, is constructed by starting with a solid black equilateral triangle. This triangle is divided
These Ten-Year-Series (TYS) worked solutions with video explanations for 2015 A Level H2 Mathematics Paper 2 Question 3 are suggested by Mr Gan. For any comments or suggestions please contact
These Ten-Year-Series (TYS) worked solutions with video explanations for 2023 A Level H2 Mathematics Paper 1 Question 4 are suggested by Mr Gan. For any comments or suggestions please contact
HCI Tutorial 2A Graphs And Transformations Q4 (e) Sketch the curve whose parametric equations are $x=2cos tcos 2t$, $y=sin tcos 2t$, $0le t<2pi $. Suggested Video and Handwritten Solutions Continue