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Maths T STPM Sem 1 Model Question Set 1-6 Answer

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(1)

M a.Ft.r-rrna,tic^s T (q5+/ I ) sh€

t.

tcql +(r.) = x3-

ex:

$rc+ta

:$<3+$1*s)Crl

\rc*p

)

[.r*]

-$-1a-i6tg + ko:a

R.r- Ra -+ Rr : !a:= Str -. \5 Rr-fa3-? F-1 Lu.) ) >o

'. [cntr-)\r]

- (xr-

\e

*3) > o K1-R3.-+ e.=

4cr-

('xtrll+\ )

o

4s-

o$

x-\:

R.1-Rs+F.'1

2,

- -rr*3r - F 3 - -t--r- r{3F

3 =

FrCr+a) -r

Gc

? J= A(;t)=f A-\

I

'r- o =- A't

B

=+ E,

--\

I r(r!4-t x+\r

*D,=

?: 6

l-l

o

o_{

-\

alt

o-t

2t +25-h31:13 X*:J-k ? = 6

-r

-(

t\-: +-t';

>ft

leb_+l

+t* *"i.r-*.,*

ii-l

t*t{

--,4+***na.**ET

t2_ a+\ ( t 5t,\\ I I r/

(E-t';mt

&-a\ :Je\ =ll

J,)(

I

=(t

: +-o-o-o :*

jc.,

t-!r?) ( r, 13)

Urtr =

tl r tU.t -\ USt , . -.

-+rtr:r.r:

IEI-:S

:

*

-[fr*

*ql

-

i

n"sCe') =

toi

t+i

'=

e'

_:_Eqr_'t:?=yx:

r,

c^s Cx+a.L

i

g,

%_:-1_8,

-+)

= (ar

r)

= ts. [a^.t.crtrs( -eln)(,".,f*r]i q.r.ls I x-z- r 4 =B-l

eZ-= f. ce'.sof -O : = r.s51< _O .1

:4 *\ :3

-'-

[a=J:t-]-

fg

N-r )v

(>r-2)\s

fi$'):?q2l

a.

JE,t ost-)ei.a. a

-

\cos Ce*$')

(2)

--r-S'cc.1l.

z.q+_--:a=l!4:f

=, c ^ _:3-Y: \

i!=

P

_]3

-.-q(x2-+r1x)-

l6(f-zs) -l:9=o

;

+:'=

(- :a (

a)n\

(

:

P-*

3 -' .1 q

[c*"tF.r]

- t ( [ cs-r]-11 -{r\, = o -IT .: 1x+9

-2?=-t+

'+

*

(

i)

-

-ri

3Cx+uP- t G,(y-\)a

= llttl

r)=

sc^{s. (lr)) , Dfr:-c*<\o<: :3:S

Cr,.:*-Cz->f :-*(rJ(s-3)

Qt-zta: -BCs-3)*

G_F _h_

+s

A

:

t

(

e)

+^(i)

-

(rrJl,(*)="

(r+G+ rr)

{

\Ct*qdq)

*(6-t.l)

= o

*'. \-=-Z

i

='. ?(o,*lr-z)

.l

C3r2, 1:9'-:-4:

"-:-sb?

-&:

(

U_lS

=*:-

+:i-€--

I

-{il{l)=

lii

-' , qg = 3x* to , atg: -.?:t- Z q= rl b --ts

nL€I-G):::r

;-

e=s

5 rt

->g*ne

=

r|$.x

6a-tEg)?+c->)' :.

11'(1qt )

r-a:?

Cr.-zf:

arC>)

(:r+r)

(

rt-:-)

---

B Cg+r

)

(3)

c-s,

T

Cq=rrlr) g3 -t\.|-:-t{}L'?o

:

.?3

-

/t{-z [_r _

il

-.. ] +

(**+)

<- t6-

Bxt

:tz

:

I

xz-

\

)-:c)

o

[o.s$Js

-ri

st.

(s?:3)tt

gl

><-(>c-tr-)> o

+sr

k-= O

.tl

L:'*_ [1

9:l_1":C

.,*^

C.+ "'u*f] b z" =

a!.^"

(1-l):l^ t-DI

*

\*=

-rt<*.o\

u{x=rt*j

zr

=:

Ic^. (

+)*t:r.".

(

+)l

/-=>

(-

^"

(-€)11s\ng

++)]rh

.t

-+

x<, o qr tl(:t

= r Cc^."A,Giltro( *S-\,,rO."A.f.() f,io =Zo6" ?rG * VrG

..52

=r.cxs.t

-(D

Jlts

=c.sn\.,(-qg

-)A Iat

(-3J)*lst^

C?l

..^Q....IG-r.(5)tgc:$

-)( [o.t',

-t s +L

t

s+tJ=

tqa;

cr so'+ JG sin9

=

\.

cos Cg- s: ->t1) .

= . c-rg+,JGti,rg

--tf

>3113 c-c,

(9- Ez.'rV'):*$

R:-€t-rRr

lt t t

l1

Co-

s>-z\i)

--\

R3-P1?1"3

\o t z

lV €s Or',.i^: €-S}->\lo-\gf,

-'.

g:=

>3].>\Po ' QP)

\

^,

eo.,

[

9--

sr.rt1')

: ]

($) +JG o..^('$):

l

$-::-rv"'=.--.il(4)

=

-\t

"41'

-Q.\s)-t-lt-!y1

ta=l

9r.q,a ::a 2l 'G6o

A==)(At)=z(>)

=1-

).

( E)--q

=6-tLatc-!::(r.a;

=:(.r*+)=

\1-:x *', !-tC,=3

-@

A+zlCA

ftRlrft3)=5(r+\+\t):1qe_

_!0. G):=

3-r-t

c

-O

=@eAn'taAn 0.? Let Nern\ --

PN !-Tr

r'-

c.

(

t)

=:

= q1-) I

-t

r=

>ca',-t ) An h: -2

(4)

.seg

2

'1"

91

itxt-B*-t*: -\=o

rrr-I+1+-=IP*-B):-!=9-Tl>:

:.xtl-?=e:r2

.. (i)=o--4!

;-t)"-

\c;D'--

+

c4)

li)

.G)=

Jr.^]i[

ror0

e

,:f

:

o.lE;

i

--. c.sr€

= =-

=-z

C-t r

>)

4 X\S'. x+l =s

_-.

e

=qq.s{

&ggld"-!3s:1^

p\o.^-c * ?: \

Lcxab=e'=l

15:l

-.. .1,:

r=

(

"l)*)..

(e

)

(r+B(o1\11)=

EE=

(i)"(

-rt9.) I

---l

I : -=JE

.{-.ci

C-\,>..JE

s: +

=3

(x*t)

-(t -e/,

-- Y->:

a

g

-l 3-o

-

1- t-r-c )

rt=:

r.

(jr-)=

(

i).

(

3x*

?g-\tz

e -[

tdr Ve-d,es : C'1 1 51, (-l rt)

4oc,*s : (-t

rS) _.- *X-r By*3 Z = 2-C.e.rtfe-: (-lr>)

L'=JE

(5)

lr4avftne-c.,n.atrlc-s-T Cflg+ / I )

B

t " Cq) 4ot)=aa*>a.-6

:(:'c*rf-T

Gfr

(z)

=

.ea.ca CktO

-

qaq(t+:.J:)

Re.

ts"

9>-GJ

:.(g)-+G)_:-**

g=-t {cr

zG

=

[

t

Ccas

(-+)ris+-,(-*))]

=

ta

[

^

r (-sa) -t't srr,".

(-Eill

(b=rrr,

/

I-

:

{e

t-t*Lco)l=-it8

Rg-b+

k(g:j-*<s<l

*'-

"0.,^

[ao;., : o +

tz-1A^: 1

i6

i kcx-t3)z

*qrt:

36 (-Zl =O : -B+t+a,->!a t4 =O

--Gqf;;q:-_Z:;';t

_.. ^z{ El5, := \ _G)

':

€a<te.- F3 ro).p

B)-

3o

:

>+

*1q

*3b+6

=3o

i lo g+h crQ *€v <x\s = )a- 6;* 3a.-tLt

: -\

-O

-..

_1-o'.9-_-l L_

li:*:i-?rE::L

) == x3

-

>c-t

(

= (rc*>1

1x2->x+3)

i

>-:

-i:.= R(il) + A=-Z

tJ r O:a A<rg :+ € a2

xof:

o=3t\+.Lc-=l

<,=3

i

3tr>y*t<-e =

3*k

Itrc >r+ 3 a p1r1 tE-2;F :r-r)-.LB

3.

J

Tp

G^-e*

=

)

re<\x*r

.\<\

R>-Rs -+ Ra

xt\ <-L or

L< t+x

-

{.ke

x

<-3}

U

)(>\\

Foc r.*SMxc-n^.-..1 r-\-ti.-. *- Uc=3.,\o

--_is-*'

7"#,

<l L"t-

a:t : 9*3?e

g

:{

g

=-3C

xf Jf2?:Z E> )C: t*Z-k-3 t -+-o I

a

o

\E\ =

T

:Lnzft+

=

t-2-lt

i

3Kt- R3-+Rs

S.

\2.-

t q5z';>!Fx:o

4(lc2+6.)

+ng'=o

t1-f(:c*a)z-qJ -t{52 = o .(j-Ero)

|

&ttJEro2 to

'-

9 f -. *

x.= l?., -', )C=L*rr g=-3Lq

(6)

?,:t-sery3

\-QX, >-^llsi..O

-:larS :

r.. s-tn(g-"t)

: r

Istr.9-c-n.r

-c,\sg.of',-d

lTr : 9*-+g+3g= \S'+rf. (

', As c st ? 2 rl-a

-O C sicl€t- 2 -e) h) {sa*- N q.r n

:=.1:t

o

-r-%

Xen

'

.:_(H

"{

P-on^.O

=

r(t) =2

=i

r-+

-'-llSltfE&l*):t

-JEsTnO-}c,ssg

:

t\-

*i^

(9- (-zo -:e

t2t)

*

\

(>srt

(t9)=\5

Ca)

..Ilslog-

css0

.'=

'IE

-G<

z) _._

\=

t

l'-

c=

(iJ*"

(+")

$

=tn(e-t):

>E

--. oN =

p.*1!-:5\:]l$l

-tcrl(Jg)= L\EJ

-

o-t

_f,L

='fffi== IE*

\r*.

c.

(s,z,-B) ,

*- (i)

*gik--6 -L \ 2- -tc

:-L:J-gt:g--=(

"-

(+)'e)=Jf,'ffi

c-so

i

-'.

e:*6.+q'(H:.?*")

F{a.^..-S

ff G*tog-c^sg<,.[i-:

-G>)

t

----

n*By+q==L-{

ai',

(s-t)

<

)*IE-{e-- o <e<

q*\

u

{e

=

*L<ecur

Ln1

3--!{lgr:,

,xhe.-.

e-E:* j -'"

>rt-6s*

E=

.:F g.ff

*

:- a=?*, I

TrrrBrr>;

t\x-2Zy:33

qry*-f

%-qrr,

Iho^

e-E

=+

-'- (\r-\ rL) .-. I e^J a\l ITg

-].- rR<

-',9=

+L

-. (-?r)'(

)=o

i x (-t") =

i)

*

(=1)= I i I -i

(7)

trrrad,t€r.^.aalq-g'T

(f

S+/t

)

.S€A

.ka.yt

(3o'*gl : )ta^

(eo'^91

T-z

I fr-l

-1\+.an(3oofg)l

r-Rz*

R>- t -2

c^,,f13o'+9)

=

2- 7Rr- R3-+R3

o q

-r€;

!a.^

C. O + 30'J

:

lL

^l:- '= :L ta-.a Eq:Tf

3laz-

Rs t"2

I '{rBO' : 5ca,1ear, \25.26o

ooo

"- $

=- >4--++e

, gs.26o,

To hc.ve- gs(u*isng : Lr---22 :g

33-52:2

(t""r

E:L)

=

\

-

><

*!*. -!f-+

.--.

)*

(+)=^It-Eni

=

oF

= \.?32-oS CS{?)

.#*. 5. strr@- r,rn1n€(R:G-+i' is q nss6)

r €cx)- xazx

-3

? (z*r )2-

+

--" )--,; i,s a,\S- cr G,rL

'+

2

*-€sr<)g+

(pore) ts a.4o.,{'rr

&3ro) t -'- *>-+?.+B is a,*ocfor

--- zts

tn^?z+n>

+tb

cLl kL+-tCx)=q

= 4Cu)=X \r>o

o^=

z*\=--7,. rA---$tS=-J

-... Cr.r+rf-+ =- X I .'- *t^.- othc-r esqrtS : )-A 1-2

._ 4*r __x_+

*\*Jr#t

.

x>_3 I +

D*r: {x:}.>-3}

___ _

'++

{a) Foc

t'te.ee:

.t,E'r I \+?\l=111} e-*L\-@

qtgt-=e!9!Hl

:

J(r+rla-4

rt+ =

2(\\

i

6-Ot t=-\

-'.

^=-t

ciorg:

It*

=e

.TC\.br_2)

q1{:a-+xt\

a{ -_:3=!r_l_:_ar9-,+

r

X}O

__Frsr,^6):

_)jl)=

-\*

(-t)

Ree' fe:9>l\.,o

(8)

Ses\

J.Cq> (rt

:

:. [o"s (+)

-

i s\,.,

(t)l

q)

"l(r'- }:c

* 8q:

tS = O =

>

C"-'kE)f'rs*6ftE)l

qf:-: tl:8s___

q5s

u:_ffia

Qr-t)r: -8 (S->)

=

t^9(z*1.

=

tTtar: €

u)= SaegCtrt)-S Qrc >

-rtrse_1i_"1{_::

+tcxt3)2-1f

*qs>=o

cf(x{3)"*ig2

-3(

yr

+

=O

:=_1tiff*"*$fl-l

91*r:r

a,=B1Lc=z: e:Jll{=JE

q?r9}1

<x\r:

:l-

b

=

g,

e*)

-=

(-*)

=

-*n

cc6 L ac6(u) S*

6+ Z*-ttG?>rt6-

o

$[**rl -t16t?\r)=5

zz+r)

Cz++rq) =

o 66 3\=*f6 l.= tg (ror(:-l"n+rr)* i sin Cr,t.rrtn)

-Po- iz,= O.tl r--2 --" I

n".

( t 12)V

!c,*)

lCx-t)

;+;G;E;".tj

=

,n;^n;

='l:

r

I co s Ct)*t.+^ Ft)-]= .I- - L,J2- i (-C ro) = >

[.t

H-tira,r,

t)=

-.fa+lF=

*

tz)

--+I.-.t-xt-gt-l

6 x.-&.r

*t

(

:

o 4 [ (xrzlz-

iJ-

tcg -+")'-t

q]

e =o

*

(x -r1e

-

(g4-)L

.-

( 6

:l

-'- t.\ :2)c- B ., 5=-2rc ! I i I I I I

_i_

I

z Ic"s

tQ)-tiot^(-Ql=

-*l=

-LJE-E, C.Er

E)

(9)

I\a:t\nes.aal4es (< S9/r ) Sec- 5

i=

gt*e

I

.(ar

(t+

s-.)

=

3"h ?L

(e->q)+SPL :3'F:lL

P-),4-=

3

I

5e

=:t

i .5,s

o.5 raS 5$

--'Z=5o

r!:.sr=ss+

5-\

--_-sr-x-r>.s

ts

-s > = tas=+ X=>S <b U=

P:a+bL

\

q'=q-l-i-

J

4Ca)6(xoS=

'r +1

\+5a)

(atoz)

- >(a-Lr)

-- 3-r?L -3t)-l

q -E t- -)4.) -\L

(t*Bq

rlb)

= 3+?a i

-q-5b:3

1Jl-*Sa.:]

Ir8 oR

,.t,

//

OF -: 4= }- 1 !=--l

oP

-h-

oR a*J

oP-Jq-os gc:= 2-L : n- --f L _rr-42.e1qyr= 36

=*

$

*

S=

I

q=3,

\a=2 :

cE

Ja*q

=

J!

iS. t

.

3einrt*B{?c^st =r.r.1,.(x+.t)

:

Fs<,\

(tJE,o)

: f " fat^.x.cA r s{+ c4rtrc. sa.CX,)

-'.

k\53go.t'-la.

:

Foc^

C*-JE's)

j

F-...^

O: r (t)-g

o?

r-6

r: *=:L>c:)3'=12:ci

-6

'n 3 ..'.

For

O

<

3siqr+3tr5c"rrX<3,8:

!s--:-)l)

t.tt

'

{ <*.{ \G

tx=

+

<x<rE;

3. ? z?<

rsraf

?=5So

=efl-!+$+.-.re*)*r]

Hl=_+IIc+)^l

,

;;i:i;

\-tr=

(lCr- -"7?

p=

*

,oL=-g

oP

t3 Bz , -)€e

(10)

Sel=5

.', -r:-2 r\O='G

*it>=[G+B-8-tr--\:s

I-...t:r=(i)*\(

_____.-jj.:t) ir

o\ss o..Aoaro.c=$4c"1

i

*.

#

-=

+

=

=it

.:"]+*

{cttt '= ,= a"-r, Q!-t)

o";")

Ot*r)

lr."t

.

C>*1r-o]_____iSr,

u-+t)

I

.

!.

G)_=

G

-=-c*t*

k

-"

)G'- >^*;t---

-l-

--1^.lS=

G

€o: l-l+a,tlo-$:=()

8-

$r

:

x*zg+t=g

s)

i.

(t)=h -<O

.a.+12:

+

-O

\e

" ) x-4g-2=

2rg

".

(r1)

:

Z--<D 3)= 6S=

8l+2?+9q+L-+=

68 Cz)

O--+O=

3x-25:

(

Bq

_t -

_\a

_€

k:t, )C-A : I =-3 r 2= lQ k'€, g= 9 ; XzZ 17zZ I .: xtt -

x?-

Lxz-t Gx

-\

(-k)-(i)=(,

:= Qt*t) (n+r')

(rca-:-:r*r):* i **?5-Bz :

6

:*

4ctf =o

: )t:

\ r-L

,

>:"

c)

(

+

).

(*)

=

*\f .

Jt

c-oso

-

--+----a"g:

H

:-Z-r,:

++?

:CtZl"

[-r\*r"A^El

i

=

\Eo-9

=

=t.,1nz'

(.*1+

[o.

(-4)t

is\.'.

eEll

^gJrt

#--

_-.

fu

*

€*

ful

r

:CJ5')t

[

ft-]

-

ts]K

(11)

5na;t{ne,rr^auc.s.T Cq

S*/

r

)

=3t

G l -Car

4 \r l-\

trnve*:a-:

dd

De,s = (l ) [ eba-a.") '

i

-

tt?

(*t

- b.'J

+ct ? [o"- -

t?l

-r _.- 4-{ ex.\Cts ra -$crt >

!-.u= )( :)

,.^

- -%

i =a

(bt--") - qt(b-

c?* bc. ( ro-.1 ..,

+n=x--+

e.U-.,aCg

-

=CAToot^"or* t

-K€+-t:

tg=

9>o\

* o,>'(.t-l)'-'

i)*

(-i)=

'l

6 {at }-:2t3cssO -) aos$= *

=-to

' -[

X+C.r-ril=-ro

!):z2c-org-1

:$ 3t',0: +

gi,\cg c--"3S+ st^zg - I : eg t()* 4err -l o I ltoo k-*l glool (s1-r)

*lo\

* R>-+Rr- OO

to

+ €.3'i ts-3

o-l

t Qr)k- -+ R.r <r Q=t) K3 I 3 -Ln- ?v

t(a*

Br

X:

>c

<-0n=)

*.

--. { s=

-f;i,-\L,

t-9.

,-+-$l

t ?_ \.

\o

o

L_'"

oo

{

I o o l:gTo\,

3r":

(>r-i) R.r

*

\ag3-+6.2.

(12)

5oe

G

/B

-7- 'Tl r.

'-

(- . [*? =

)

=>2 5x-3,q+a=

2_O &.tql

$=

3

t-r!-+t*t

;*)=

3L

![: -9- * 3b

t-L'-iE-3i(t-i)

(t+i)

*

<.Ct+?)

+3t(\-a)

-3r1T\: -l(r:q E+2L-o Cb Lst^"o-

a\_S:&

*\

:gff:.il

,Ls-L $:e i =.!q:" -*- L i.S a fqirt -) -L i,s e\ss €. fsrt

jt.

r

c:

(

i)*\(

g')

-'-

Cu-:-+\)

is

a,4act$,r

.

tstl'-r^13*r*l-u:

+ \ =Q

Ct^"+t).(t^t-H

tt)

=

o -:.

c,-sg-

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'=

7W

_:-

9-=

63'+t'+* (

g$-.d"*.]

f:h"-:Sl_:

-i-,

t-r

EL*

!

Ge.

{*r

Tl3

} Cc)

Lls

= l6JE + tGL --.

?s:

\6-

\C.Ei

=lG

(t-Gt)

_.. Laa3 .* = 92

Lo*

(-*)*r*^C$J

*_- q__3r*

,-2::!::lH1"1

s+l

+r"-

\c=ortl ,{2

i*'

I ---l-I

References

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