E{ERZT-,EA SENXGR E{TGE{ SCHOCIL

"If you will it, tt is no legend"

MATE{EVIAT'ICS PAFER 2

GR.ADE 12

MONDAV 5TT{ StrPTtrMBER 2S16

ANSWER. BOOK

O{JEST'TON h{.&RK T'OT'AL

x. L2

1 I4J af

4 1E

Z3

6 6

7 9

E 1,8

9 t3

10 19

TOT,dL 150

NAME:

TtrACH{trR:

Ivl nf,rl sa-R-G, io,i

'fvfo*c

QUEST'ION X

Solution Marks

1.1 7- : tg1-

(2))7

il? i'7 )8 v

1.2 Nr^: 8c, ,, lo -, I

(3)

rl t/O,: lq l-/

Qe ' zt+\4a.K : 2- G I

1.3

(2)-/

7.4 Ske;ol. b +Ae- e+b'4(1)

1.5 €- = b. t+6 ,?I

1,6 x_7 t7 tk .-r L,+

(2)

/

, 23.65( 3 )U d" At;6ns-.

{t121

QUESTION 2

Solution NXan[<s

2.1

2.2 fu=t-h*

LA

5 /

2, [tr(3)

2.3 re"^rtwryry,,/

.AL.+ Varq s'tr" *4 ( p" s; t;"i \

-9

ffio)qs ,/

2.5

(1)

ie]

QUEST{ON 3

So[ution Mar'Ies

3.1 Anqi, L*weon (^/',*<GLa*,,1*) q- 6"*q""*-n 1, )(1)

iU

3.L fuo* p"Lh, ?c'= Lo'L+to- ,,/

3)(2)

= 5c0'- kc- =.fs-r?

n r{ IoJF

.-,J.J (l<-s) + (z i"rt)- = 5.ro t/

G)

(4)

(v** = io K^-bK -1 : o \/C< -t)( x+ ) = oV

\= 7 o{ -l0l- l<'- bv -7 = o

K='7 /( f,"sto */)v

3.4 fx*2fo J"+,Y: tr--b(>)

(2)

----- , r.. ,,/V

PR=

Pr= +

3.5Sr n ce C.S ('r*d,i^,s

,,L Ps ,,/ C-)

(2)

3.6.1

(t)

(2)

Tv/ ,J.'. ,--q.Z * +x=3"c.-69 :4'/-

3.6.2 P( -t?" *ll \ "^A cG -,)[1a-20-

: \^^ { 'c? = 6,17s,u,o-. PC = i<,C tv^d,. Tc tS t;-mmq- '

(3)

G),/in ,A Pf C- ,r^rl, A P-TC V(TL*^, ri-f,a 4, 9o';H'S )T Pr ,, zo /,r{{(,u PqLlr)

3.7 .1 [r )(1)

)./.L { - Lt- *^t+-= / (r)(1)

3./.3 m,+ crr,l@

G)(r_l

1.,.J,*r rP :W;rrcJe- o "fre M; tR, +P.. =l+

i2'!IZ,

QUESTTON 4

Solutiom MaB'I<s

4.1 Mtr:-+) ,/ (r )(i)

A'\--L 014-= t-+ €t)'=go {

(')

(2)

oM =JTt '/ (+tf,.)

A-+-1 0t{ = 0M -F Nffl7P.^Aius\3t

(3)

'= ^\tr"-Jf,., / /a rFr-

t/^\

4.4 Pit4 : qc" ( {c,...{}r,,g l- t*^a ,rrll

@)(2)

? ,. lL- o nht (or,rt f lffl) /b"+h FeoJonl reqzr,r.ire/

I

4.5 fl,^*, = * rt,/ = * f-

G;(4)

r- | /8 LY(;ccqL zb, s6')

--------_--__---

/ ./A'\- /3

aT d*)Th"u*s r(l = Torn 63 Lt-f o: Z -lZWTL{ , 2-.a + C-

SutLsV (* -+) { '. -+ = | b +L "' c= *zc

S=ztc-20(r, -r)

: 2^ X- - 2-O t"nt. (= - *

i':tL* 1- G+ * t+x2-b+x-r25G==O ,"/

* i 6>c- :o

X=ll

QUEST'ION s

Solution hdanks

5.1.1 o?=-13 (r"qLhcd?>

I

(2)

C..l =-{/0

ot' (

5.1.2'J3'

(s)

(3)

:S,ieo"6s"< : t,I ndv

*i'L-s €- ll e

z- /\ ,? 1

-S .+lz-13Z6

5.2

I

3)

(s)

Gshv. 6s el":t Sn'e '

-

n'pa -ffi\'/.-. Sl ,-, ' e

C"s'' G ,F t lr/

9

5.3 ,+ S, nL + Z (l-zSt"zx\ * zzl.S,n/- f L -; 5,

f-Jrn'XS"rn x =

.inZ - t)M S^Z

IL/

:l

'x = o'+K(r.1- ' (3 o**ua + K3

tt

ao

ffiYrR

l&I

.Afi

(6)

,/(. . \' (r" -... . -\-s4 I

I

l

I

ri. :c 6s

4.$*'

( 6sz - S,nx- { C.sx +.S",r )

hs' o + z Si^r.6i + S "'*:(eT'^

(s)

-./

= tb Jl^z 6s L a/ffira_

= 2 -(,,.' ZX-'/A<2f_

= Ails

10

s.s I s i r{a,s

+)

(4)

w

Y ,r/

/ tb1v* ? S,n x As {- q

IL{ -- S,, ,- \/ -. ci

IL-(',rr ?-tL : l* 't -t6

=7,,1/t o v

QIJESTION 6

Solution Marks

6.1 -or/D=30(2)

la=-L ,/V -l Y

?

6.2 srxe L,:.t(2)

(2)

6.3 shi {-r_utr

1200

e_ bA' to A,,a-

L; ch'" *"-C

-[o 8- t //lrt-

zuf *o +he \ A/t6,

L1

QUESTION 7

Solution Mar[<s

7.1 Gsr+(: b+, '/ SrnD Singoo

G)

(3)

fl +1 65 gt.",6=37.90 sin0= JFq.65

=2{" / 8l(Al = +q,65r)

7.2 Bc * = gt'" +N7'2--zk,)Gz) Gs I2,6 V

's)

(3)

= t+t3D d titl"'zi=rlL'*Ttt+,'7s /r,/

R(' = tth, qd rvl

naI ..) 6a/\-1 UJrn T>r R F .\,- ttCl .t

(;)

(3)

At+ ilo. '. Si ,, lCn = 6n- {,n il 0^ ./

llo. q'?*'o -f; f n

_w

QUEST'ION E

Solution Manks

8.i.i P = rB'c ** i+8'

@,ll)= ?L',,/ (r'pa Ls a+ C.q)

l/{

8.1.2 fi =)'i -. ,,/ \e)

(2)

| = htu'/ ( rtr*trrc..l

-L TH )

8. i.3 Tn APMs - PrhS = t6oo--(Zr7++z,,)c)

(')\= /d 5 " 1/ et4aATh*s drns = toS

*- tB'= tr7'/8. i.4 lR* *1q" v/

G:,(2)

:( (oxl,. L 4 e"q.',J " y' a rl

13

8.2

cD'((-est-, Ls = " -AB

C :$ =t-Ter*6^t rH

F=E-a

s- hBllDcCO *itc,ND€ = l(o'"-

:l&obTfu*s f e-s r,'t L

L4

QUEST'nOlq I

->*-***

-(0ffi'"

",

I5

9.2 SrnLa Be"S^bbe""'As A, *?L{b,

()\

f A 7 Ti ) tl Dr'tz*b,.o il c-c'6;;.k'/ /t t 6 tz

9.3 ffi is cL c-q (,^f=)

(3)

A = L. = x- ( s*6{"t, be)iI

A

Tht*s Fee = 'x- * -x'*.x-: -Z >c ,./

A ,-./.A

9.4 nS,^Ia'J),= C =d{M

(3)

AD= I3C / \-,,

Nl .o^,1n, Ab : An: ft tve^4 \Ll t/- VTTrr^s {,cstr-l b

[13]

-t t)

QUEST'ION 10

i0.1

Mar}<s i

G" : MoJ<e M P *- AK

sAs

VTv

L7

ta.2

Solurtion Marks

rc.2.1

(a)T* /\ \s K.G d ar^{ t< a F -.,

(3)

i\ A r-r C,o{Wrw{vt V-h d, € e ft^LL otc,u\r\ l-/4ll..,nrl

lr- -f-Rn-s,^ lt C Affi> I/

li5)

t0.2.1

tD)

ffrnrt, ltl ,rt to"z. 1 @)

(3)

VG AYE ,/GH ay't-, r

.'. i<G ^etr = Ka.GA vSr,o,ce KG; trtr (atue*r) v/'. ae -< *lt c

10.2.t

(c)Srnc-a fn6IIEK t/ k- P.p.+h

(3)

EF A,,KF ./ )*,v

Fvl YG^- EF l<G = ef4,l<F

Sin.e €-F = KG t( c-lftt,lrr4 ){2 r . '.1€

\/

74.2.2 .;o,rr (b ) a4,LA ( C)

2

EF- = KG2-- VT-L-n s [<a, G hf = EM , l<F v/

". EM = l(9" GrHKtr

=2Atu

= .q i.j iL( t- t/

[1e]

I.9

Additional space Marks

lo .?.2 .

EF" = KE x GH

= zo x +

eF = 4.fs? /EF = KG

KG' = erw.v?(a[il)' = ern" tb/

8o = erqlb

E+4 =g t/