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I'm interested as well :)

Less than*

They just expanded the brackets

and boiling water haha

thanks! Your feedback definitely helped a lot for sure :) I think it is. I'm not sure though since I learnt it in prelim and some schools definitely test on that. As for the actual HSC no idea sorry

mostly good Got mixed up between the dates of some of my statistics and I left out two sentences from my prepared essay due to the time limit. Otherwise I wrote pretty much everything I wanted to say :) Wrote 8 pages without diagrams in 40 minutes but my handwriting got so messy that I could...

I quite like the 2nd, especially the first movement

Re: HSC 2013 4U Marathon no it isn't

Re: HSC 2013 4U Marathon probably both :p

Re: HSC 2013 4U Marathon...

Re: HSC 2013 4U Marathon There you go Sy123 $Suppose $k\left | z-z_1 \right |=l\left | z-z_2 \right |,$ where $k\neq l$ and both are positive real numbers.$\\$(a) Show that the locus of $z$ in the Argand Diagram is a circle with centre $\frac{k^2z_1-l^2z_2}{k^2-l^2}$ and radius...

Re: HSC 2013 4U Marathon not sure if this is right lol. a, b and c are meant to be integers as well right? \\S(x)=ax^2+bx+c\\$let the roots be $\alpha$ and $\beta\\\alpha +\beta=-\frac{b}{a}\\b=-a(\alpha +\beta)\\\alpha \beta=\frac{c}{a}\\c=a\alpha \beta\\\therefore$ b and c are divisible by...

Re: HSC 2013 4U Marathon \\$a) by writing $-i=i^3$ solve the equation $z^3=i(z+1)^3\\$b) Prove that the roots of the equation $z^3=i(z+1)^3$ are collinear.$

Re: HSC 2013 4U Marathon haha, it was the first thing that came into my mind when I saw all those moduli $Three complex numbers $z_1,z_2$ and $z_3$ are represented by points $p_1,p_2,p_3$ respectively in an Argand Diagram. If $p_{1}p_{2}p_{3}$ is an equilateral triangle, show that...

Re: HSC 2013 4U Marathon $LHS$=|z_1-z_2|^2+|z_1+z_2|^2\\=(z_1-z_2)(\overline{z_1-z_2})+(z_1+z_2)(\overline{z_1+z_2})$ using...

Re: HSC 2013 4U Marathon $Describe the locus of$\\$a) Re$(z^2)+$Im$(z^2)=0\\$b) Arg$(z-1)=\frac{\pi}{4}\\$c) Im$(z)\leq \frac{1}{2}\left | z \right |\\$d) Im\left ( z+\frac{1}{z} \right )=0

Re: HSC 2013 4U Marathon $let the points A,B,C and D represent the complex numbers $z_1, z_2, z_3, z_4\\$Since the points are concyclic$, \angle BAD+ \angle ADC=\pi$ (opposite angles in cyclic quadrilaterals are supplementary)$\\\therefore \arg\left (...

Re: HSC 2013 4U Marathon $Prove that the diagonals of a rhombus intersect at right angles$\\$(Hint: $\left | z_1 \right |=\left | z_2 \right |)

Re: HSC 2013 4U Marathon yep totes