Practice Series 5 P2
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7/24/2019 Practice Series 5 P2
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Practice Series 5 2009
ADDITIONAL MATHEMATICS 2
TIME : 1 Hour
Answer alluestions :
Section A
1! So"#e t$e si%u"taneous euations &i#in& answers to '
(eci%a" )"aces!
2
* + ,- . 10
*/ '- .
2
5 %ars 3
2! A cur#e wit$ &ra(ient 4unction *26 ,* ! I4 t$e cur#e
)asses t$rou&$ t$e
)oint P728 +18 4in(
a in( t$e euation o4 t$e cur#e ' %ars 3
; in( t$e euation o4 t$e nor%a" at P! 5 %ars 3
'! Setc$ t$e cur#e ' sin * +1y = 4or0 2x ! ' %ars 3
* usin& a sca"e o4 2 c% to 0!2 unit on t$e
1>*+a*is an( 2 c% to 0!2 unit on t$e "o&10 -+a*is! Hence8
(raw t$e "ine o4 ;est
4it 5 %ars 3
i ro% -our &ra)$ 8 4in( t$e #a"ue o4 $ an( !
5 %ars 3
5! In Dia&ra% 18 #ector pOM 2= an( qON 5=
1
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7a ?i#en t$at MAOM =' an( ONAB 2= ! E*)ress eac$ o4 t$e
4o""owin& #ector in
ter%s o4 pan(> or q!
7i MN7ii OB
7; ?i#en t$at MNhLN = an( OBkLB = !
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22 c%
= c%
A
11 c%
500
Dia&ra% s$ows a trian&"e A@C an( trian&"e @CD! ?i#en
sin @AC .5
'an( @AC
is o;tuse!
Ca"cu"ate
7a T$e "en&t$ o4 @C
7; An&"e @DC
7c T$e area o4 A@CD!
ANSEBS
1! * . 12!198 * . 5!1,0
- . 0!5,9 8 - . +1!215' 22! 2 2 9
1
1 =
a y x x
b y x
=
=
'! , so"utions
,!
5! 2 5
= 10
2 5 8
'
a MN p q
ii OB p q
b h k
= +
= +
= =
%uuur
% %
! * . 112!5
- . ,!25
. 5
;115!15
c1,!'9
(120!9
! a@C . 1=!05
;'=!9,
c22,!92
'
C
D
@
