2004 Ext1 Maths Paper (1 Viewer)

[mattchan]

http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2004exams/pdf_doc/maths_ext1_04.pdf


Could someone please show me how to do Question 3B, Question 4B ii and Question 6A ii

Cheers

 

[acmilan]

http://www.boredofstudies.org/community/showthread.php?t=50130

Answers the whole test

 

[withoutaface]

3b)i) Well given the remainder when P(x) is divided by x+1, then P(-1)=-11 and we can then say P(-1)= (-1+1)(-1-3)Q(-1) + a(-1+1) +b
-11=b
ii) P(3)= (3+1)(3-3)Q(3)+a(3+1) -11
1=4a-11
12=4a
3=a
Remainder is 3x-8

4b)ii)
Since POQ is a right angle then m_OP*m_OQ=-1

m_OP= ap²/2ap=p/2

similarly m_OQ=q/2

pq/4=-1
pq=-4

y=apq=-4a, the locus of R is y=-4a


6a)ii) AD=2r because since DBF is 90', hence AD subtends a right angle at B by angles on a straight line being supplementary.

 

[mattchan]

Thanks alot mate