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Let P(x,y) be a point and L_1 and L_2 be two lines in the number plane. Let C be the set of all points P such that the sum of the squares of the distances of P from L_1 and L_2 is r^2. Prove that C is a circle if and only if L_1 and L_2 are perpendicular.

So anyone seen Ong Bak? awesome stuff.. ..

Anyone heard of tricking or X-treme Martial Arts? it's starting to get quite popular.. It's basically a combination of gymnastics, breakdancing and various disciplines of martial arts .. but all the focus is on specific moves such as backflips, kicks (mainly from taekwondo), aerial...

How well do you need to know someone to really be in 'love' with them? how well did you know your partner before you started being socially accepted as gf/bf? did you 'start out' as good friends or strangers.

Does anyone busk?

Does anyone here do any, or know anyone who does first aid volunteer work for Red Cross ( VASC) or St. John's or whatever such organisation?

Usually, at the end or middle of an interview, you would be asked "do you have any questions". What are some good generic questions to ask to showcase your enthusiasm and whichever? ...

It's that time of year again.. time to BUY some REAL books. I was thinking about getting the Dark Materials trilogy.. i've heard alot about them but never got around to reading them. Are there any new great books that i should consider?

Thanks to all those people who helped and all those people who were helped who in the process of being helped helped the helpers due to a sort of inverse square helping law. Good luck with your Uni courses and the rest of your lives... and just forget about Physics forever... unless you're...

A bullet is fired into the air. If all friction and resistance is negligible, which of the following statements are true: A) Energy of the bullet and acceleration remain constant B) Energy varies and acceleration remains constant C) Energy constant while acceleration varies D) Evergy and...

Here's ironic and useless physics fact #1 It is an interesting historical point that Sir Joseph John Thomson was awarded the 1906 Nobel Prize in Physics for proving that the electron is a particle, and his son, Sir George Paget Thomson was awarded the 1937 Nobel Prize for Physics for showing...

Okay so this was in CSSA 2003 trial: find the ionisation energy for hydrogen - 3 marks. Do they seriously expect everyone to know what ionisation is and use the E=hcR thing, or is there some kind of super quick way.. mind you they don't provide the energy diagram so you can't just say...

What's the effect of a uniform magnetic field on the ring? The rest are pretty straightforward, but a few weird things i dont get:

Okay so.. i know "what" a phonon is. It's a quantised lattice vibration right? It's a boson with zero spin. But what does it have to do with BCS theory? What is the significance of a phonon being given off when it attracts the lattice? So an electron travels through, attracts the...

Has anyone read the Magus by John Fowles?

Is it the Pi-Meson (Pion) or the Gluon or both? Actaully, more specifically, what the hell is the difference between fundamental and residual force? it's always mentioned, but i don't know what it is. Or is this Chromodynamics, and out of our league. What else could you talk about in that...

Spam here to release pent up emotions.

Consider the polynomial P(z) = z^3 + az^2 + bz + c where a,b,c are real. If P(xi) = 0 where x is real and non zero: explain why P(-xi) = 0; show that P(z) has one real zero; and hence show that c=ab, where b>0 I ended up screwing around with everything until i got c=-ab, and i'm...

It's one of those stupid neologisms that dont really make any sense when you try to include it in a sentence. So what is it and how would you use it in a sentence? Please someone give me an example... my idea is that a text contains so many ideas and themes, that the numerous...

Im not sure if this has been posted before, and the search didnt show anything.. From the 2001 2U HSC, 5b)ii well okay, Heres the question for those who dont know it i) Find log10 (2^1000), correct to 3 decimal places ii) We know that 2^10 = 1024, so that 2^10 can be represented by...