2012 HSC Extension 2 Mathematics Solutions (1 Viewer)

[Carrotsticks]

Here is a first and quick draft: http://www.mediafire.com/view/?39c7ddyqussbj3n

Please excuse any typographical errors or Mathematical errors, if they exist.

 

[lonelynight99]

Here is a first and quick draft: http://www.mediafire.com/view/?kb77vbp9fk53byn

Please excuse any typographical errors or Mathematical errors, if they exist.

couldnt see it

 

[lolcakes52]

invalid or deleted file?

 

[SpiralFlex]

Cheerio, get well soon Carrot.

 

[Carrotsticks]

Sorry fixed.

 

[4025808]

Good lord, you beat Terry Lee to the test

 

[kman16]

Hey carrot for question 12. d) (ii), once you found the midpoint aren't you then meant to find a cartesian expression for the locus?
Also thanks for the solutions Made me realise how simple some of the questions that i couldnt figure out were

 

[Carrotsticks]

The locus is a fixed point, so there isn't an 'Equation' as you think it is (I presume you mean equation as in a curve).

 

[motaba]

Thanks so much

 

[kman16]

The locus is a fixed point, so there isn't an 'Equation' as you think it is (I presume you mean equation as in a curve).

Ahh I see. I wrote x= (u1 + u2)/2 , y=( (z-u1) + (u2-z) ) / 2 and then I eliminated u2 and left an equation in terms of y, x, u1. Do you think I might still get the two marks?

 

[Carrotsticks]

If you are lucky yes.

 

[Nooblet94]

Carrot brah, thought you were coming to girra. totes devo when I walked out and you weren't there

 

[WitchKingAngmar]

That locus... Couldn't believe it could be a fixed point... dammit!!!

 

[visipac]

Could you please check up on 15)a)ii), isn't it meant to be four identical objects instead of three?

 

[Carrotsticks]

Three dividers break the entire thing into 4 groups.

 

[Au_SNlPE]

Holy shit. <30. LMFAO.

 

[lgnorance]

strong solutions carrot.

respect.

 

[Trebla]

Ahh I see. I wrote x= (u1 + u2)/2 , y=( (z-u1) + (u2-z) ) / 2 and then I eliminated u2 and left an equation in terms of y, x, u1. Do you think I might still get the two marks?

I don't think that is correct because u1 and u2 are complex numbers (i.e. x and y still contain an imaginary part within u1, u2 and z)

I personally think that locus question is pretty dodgy or there is some sort of typo because it is obvious by inspection that since B1 and B2 are fixed then clearly their midpoint is fixed.

 

[lonelynight99]

Here is a first and quick draft: http://www.mediafire.com/view/?39c7ddyqussbj3n

Please excuse any typographical errors or Mathematical errors, if they exist.

Hi Carrot, for q15. Part A. is your way the only way or do u think there's another way to do it?

 

[Carrotsticks]

Can't think of any over the top of my head.