• Best of luck to the class of 2024 for their HSC exams. You got this!
    Let us know your thoughts on the HSC exams here
  • YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page
MedVision ad

HSC 2014 MX2 Marathon (archive) (2 Viewers)

Status
Not open for further replies.

Ikki

Active Member
Joined
Oct 29, 2012
Messages
130
Gender
Male
HSC
2014
Re: HSC 2014 4U Marathon

We know from diagram (triangle inside the circle):
APxPQ=BPxPC

Working backwards from what to prove:
BPxPC=PQx(PB+PC)
BPxPC=PQxBC

If we equate what to prove and what we know:
BC=AP? But BC=AB
so, AB=AP which makes no sense. (Does not necessarily have to be true and shouldn't)
 

Sy123

This too shall pass
Joined
Nov 6, 2011
Messages
3,730
Gender
Male
HSC
2013
Re: HSC 2014 4U Marathon

We know from diagram (triangle inside the circle):
APxPQ=BPxPC

Working backwards from what to prove:
BPxPC=PQx(PB+PC)
BPxPC=PQxBC

If we equate what to prove and what we know:
BC=AP? But BC=AB
so, AB=AP which makes no sense. (Does not necessarily have to be true and shouldn't)
You have made a mistake in your first line, Q is the intersection between the 2 chords, not P.

So from your proof it now is:

AQ x QP = BQ x QC

--

I can reveal my proof if you wish, or I can let you have another go
 

Davo_01

Active Member
Joined
Apr 8, 2014
Messages
116
Gender
Male
HSC
N/A
Re: HSC 2014 4U Marathon

You have made a mistake in your first line, Q is the intersection between the 2 chords, not P.

So from your proof it now is:

AQ x QP = BQ x QC

--

I can reveal my proof if you wish, or I can let you have another go
This is what i did:






 
Last edited:

RealiseNothing

what is that?It is Cowpea
Joined
Jul 10, 2011
Messages
4,591
Location
Sydney
Gender
Male
HSC
2013
Re: HSC 2014 4U Marathon

Hey dunjaa and Sy do one of you think you could explain part i of this answer to me? I understand the rest of it but can't quite follow the first step. Thanks.
His solution to part (i) is wrong.
 

kev-

Member
Joined
Feb 11, 2012
Messages
84
Gender
Male
HSC
2014
Re: HSC 2014 4U Marathon

Hello, I need help
3 letters, A B C. How many words can be made with n letters where A occurs zero or an even number of times. (n is an even positive integer)
 

dunjaaa

Active Member
Joined
Oct 10, 2012
Messages
473
Gender
Male
HSC
2014
Re: HSC 2014 4U Marathon

Woops, I kind of screwed up the transitivity lol. I typed the solution straight out and didn't realise that I couldn't do it via that method.
 

dunjaaa

Active Member
Joined
Oct 10, 2012
Messages
473
Gender
Male
HSC
2014
Re: HSC 2014 4U Marathon

My solution was ugly but I got OB^2=26cm. Yeah, I went brute force with angles, I'm trying to think of a more elegant geometrical solution.
 

Sy123

This too shall pass
Joined
Nov 6, 2011
Messages
3,730
Gender
Male
HSC
2013
Re: HSC 2014 4U Marathon

My solution was ugly but I got OB^2=26cm. Yeah, I went brute force with angles, I'm trying to think of a more elegant geometrical solution.
Yea I did it via angles as well
 
Status
Not open for further replies.

Users Who Are Viewing This Thread (Users: 0, Guests: 2)

Top