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Hello, I'm having a problem with a conics midpoint locus question. Thanks to anyone who can help me. y=mx+1 is a chord of the ellipse x2+4y2=16 that passes through (0,1) for all real values of m. Find the locus of the midpoint of the chord as m varies. I can find the midpoint in terms of m...

Hello, Just wondering, wouldn't it be a good idea to keep this forum from being displayed in the main page under 'Currently discussed topics' (which is where I see it now, even as a guest!). The title kinda gives away what we're doing, and I assume we want to keep this private... "Petitions for...

Hi, I have no idea on how to approach this question. I'd appreciate it if someone could help me. Thank you 3x-2y-1=0 is a chord of the ellipse (what is this?) x2+4y2=9. Find the coordinates of its midpoint.

Yeah, I don't feel that there's any point in studying for Preliminary Maths before the school term starts. Unless of course you really want to go an award or something that your school offers for having the highest assessment marks.

lol, my pile of my maths books is as tall as Mt Everest :P

Yeah you got the answer correctly, but I'm not sure about one thing: Where did you get x(h)=ah + b and y(h)= ch + d from? Thanks

Nope, it's 4cm by 3cm and 8cm by 5cm respectively.

Hmm, so those intending to do medicine should undertake Biology, Chemistry and Physics at High School? Hypothetically speaking, what happens if someone didn't undertake all those three sciences and decided that they wanted to do medicine late into Year 12?

Hello, For the UMAT, if I understand it correctly, you get tested on Biology, Chemistry and Physics. Does this mean that you should've done those subjects at school? What happens if you didn't do them (or didn't do some of them), and you want to sit for the UMAT? Thanks

I actually think that the ability to be good at Maths is in the genes. Of course that is debatable. Some general student actually had a problem with a question and asked few 3U students. None of them could them except for me, which admitedly still did take a few goes. With general the actual...

Personally, it'd try 3U then drop down if I don't like it. It doesn't hurt to try 3U for a term or so.

Hey Trebla thanks for that. I get it now. But I have a problem with another question. It'd be great if anybody could help me out. Question is: The figure (attached) shows a cistern whose top and bottom rectangular faces measure 4cm by 3cm and 8cm by 5cm respectively. If these parrallel faces...

Haha, I need to revise induction. Might be a good idea to do that soon :P |x|/(x-1) ] > 2 b.s.*(x-1)2 |x|(x-1)>2(x-1)2 |x|(x-1)>2x2-4x+2 Case 1: x(x-1) > 2x2-4x+2 x2 > 2x2-4x+2 x2-3x+2 <0 (x-2)(x-1)<0 By drawing a facilitating graph, 1 < x < 2 Case 2: x(x-1) < -2x2-4x+2 3x2+3x-2<0 Now...

Hello, Got a problem this question. Could anyone please help me out? I wrote the whole question so it makes sense. I'm happy if you just wanna do (a), and I could probably work out the rest from it. Thanks! A solid is formed such that its cross-sections by the plane parallel to the base and...

Hello, I was doing some stuff on t-results and my textbook let t=tanx (instead of t=tan(x/2)) for some examples and I have no idea why. How come this is the case? Thanks

Ahh, I think I know how to do this now!! Thanks everyone.

Hi guys, I actually posted one part of the question by mistake, here is the whole question: a) Find all the solutions to the equation z6=1 in the form of x+iy b) If ω is a non real solution to z6=1, show that ω6+ω4=-1 [as above] c) By choosing one particular value of ω, explain with the aid of...

Hello, I haven't come across this one before, except in this year's Ext 2 trial for my school. I have no idea on how to solve it. Could someone please help me out? If ω is a non real solution to z6=1, show that ω6+ω4=-1 Thanks

Hello, I still can't prove it using t-results. Could someone please do it me? Thanks

Uhh, I'll try it with t-results. Thanks