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SMK (P) SULTAN IBRAHIMJOHOR BAHRU

Instruction to candidates:

Answer allquestions in Part Aand answer any onequestion in Part B.

Answers may be written in either English or Malay.

All necessary working should be shown clearly.

Non-exact numerical answers may be given correct to three significant figures, or one

decimal lace in the case of angles in degrees, unless a different level of accuracy issecified in the question.

Mathematical tables, a list of mathematical formulae and grah aer are rovided.

Arahan kepada calon:

!awab semuasoalan ada bahagian Adanjawab mana-manasatu soalan ada

bahagian B.

!awaan boleh ditulis dalam bahasa "nggeris atau bahasa Melayu.

#emua ker$a yang erlu hendaklah ditun$ukkan dengan $elas.

!awaan berangka tak teat boleh diberikan betul hingga tiga angka bererti, atau satutemat eruluhan dalam kes sudut dalam dar$ah, kecuali aras ke$ituan yang lain ditentukan

dalam soalan.

#ifir matematik, senarai rumus matematik, dan kertas graf dibekalkan.

This question paper consists o ! printed pages.

"ertas soalan ini terdiri daripada ! halaman bercetak.

One and a half hours (Satu

UJIAN PRA"P#NTAKSIRAN

PR#STASI STPM $%&''*&

MATH#MATI+S T (MAT#MATIK T)

PAP#R & (K#RTAS &)

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#ection A $%& marks'

Answer all questions in this section.

( (a) A function g is defined as g(x) = x3 3x2+ x + 1

Find g(1) and g(-2) and hence state a factor of g(x).

Express in the form (x +a) (x2 + x + c) !here a" and c are numers to e determined.

#3 mar$s%

()&he functions f and g are defined '

()*+,"1

-f xx

x (a rea numer except /ero)

xxx "12-g .

Find composite f g and its domain #0 mar$s%

) Express2

1

21

1

++

x

x as a series of ascending po!ers up to the term inx3. # mar$s%

! (a) sing eementar' ro! operations" find the inerse of the matrix of A A=

# mar$s%

() 4ence" soe the s'stem of inear e5uationsx+y+% = 0"

2xy+ 3% = 1" 3x+2y+% = 1. # mar$s%

% (a) 6ien that (x+ i')2= + 12i !herexandyare rea"

find the possie aues ofxand y. #0 mar$s%

() 4ence" soe the e5uation /2+ 0/ = 7 + 2i #0 mar$s%

& An eipse is gien ' the e5uation 18x2+ 0'2 80x 0*' + 1** = *.

(a) 9e!rite the e5uation in standard form of eipse. #3 mar$s%() Find the centre" foci and ertices. :$etch the eipse. #8 mar$s%

* 6ien that A(1" 1" 1) " ;(1" 2" *) and

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through A" ; and

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