31LI f '.t {

[oqO1E 8QO agnlar.

@ffi 4wffiwffiF@sqryiqB1$nqFEfF'6?mryq*d@!'s @.,*,**assPef mnw[@il,srq{ltrYtw+Y,,ryw1FI I r lri i il

>t wTEJl,R-lA toOo,

gdzn @CCI e 8Beft .m,€d" oe.d.e csooajrn.

1. g{ogoced drSoC 1000rs gqed 8%rs OcUBD Eo o.oc@ ggec6aozil csood a(ozgoro arzderdad8. ergp O6ecs gOeecznoc$ @O $qe eoqoc OgO 86 Oar ooc$cs oaco@d q?

2. ddod o1o:o SogiObo SO2s dzsczocd o@ui ad8. @OO ddoo SogCGDad 1202o gddoOnJ 66'@0 oro ozn tocecs eloO@zd elescordrs.

3. e6cor6ls qcrocdocszrl qz$Onlan: 3a = 8L

rl4. gd rodoJa:, ti-zii

5. dloocl Q qB oocd4dl qlgod?r} OEC A 8ocgdoco eescrcaJur.

,X,odadc olod Eo 6600 OAgzrI l0 oqa4o ftn 8zd qoor oO co18 qrdrloOrrl4 rod q1o. Qar 56aJO@ OlOcc EO 8600 erocoOo OAgaJ o6a:d o(ocQc oo 94 q?

- zryr,c 4f oal o6cc gaDccsar oqoro8 zgoc o oe,cg e{6cr$rdc: ooccoEJur.

E. caeorl Q q16 qocszrl qe@6?r, .,tfr Aegg rsnlEa6edo otrCdnlat.

52, 5.3, 5:7, 5.g

9. dle:oc{ Q gz8 ormdtBdl qlgednl cos 0 E qocs oesccsa&r:.

10. AcsoBoA n(A)=5,2(B)=7eoo n(AUB) = 10 oa o6Q I z1ea oqrod zrr@ n(AflB) I qocs

eoccsaJur.

11. rosors ocsccsrja: * -lO

ogcrod.Sed 10H es@od EzBd rsg, ogcod,Acs8?rJ o6cod.8ed 35d rsczrJnoorJ EBrd 69 Q oozl:q18 qrad 986co 86O2rJ 88o166 Q ooa qlo.EeO qlEo0 Q Od dcsgceoros?EQ e@6zd orlCdc opgoaloal ur@ dc.:gcozocsc 86@coe A@O csOoc8oco 4od q?

AB oA O ezdalgcs B Oadrsocl Eda@ocs8. C gdo:oo Oadao Ors

8808. AB = lO cm q CB = 6 cm Q 2tro AC I Qo oozrlB0odoezrJoescozrJa-

14. Eeeqlrlzo: (x + 2\ (,r - l) = 0

dtcrsoJ Q qr8 $eaCo qee.dzt| gocD€o@ 6.d5egoec!@gd0oO@ go6cs aogzltc orE@o oc8o rog qoddco ercro Q fi6 O, @ac @ qod& qeod2fJ ooidc oc:o cs0rrl gdd qQalo.

(D sc. oroC. e:c. @ oroC. oaC. oc. @ e:t. err. erc.

19. Arp B a))3c€o

^=(1)

1. :a'!- [i@ i],?.,-.ri:s:-r.M ;:-,. r

oc B=(-l 2)@StrJ Q Ern.r{^Eln::mcoo ecoccszrJan.

A TB eogg, ne6?IoA oodalgcJ e oadocs @o BBE

S3,ff:6' dlerocJ Q q'-s t''oe? srsod'J x E qoc.:

EQTEI 686 omo0-5 3

5-10 l0l0-20 10

--=----t7'

:ETf xllop oezdaJic, s oadaocl drcce6. Zedoao xt,oo gSoc qldod dloo<$

Q

eoo Q g1E oad da$ gacocs ga(dq ao y', ezp6 e ftd? a€x'ee6 e eQ6@cd g1g ozooeO qg, oocqalar.

XY=2Y2

xdy = zxoz

d1eoc,' A'B @EzrJ gQercocdcsad q r J, o"o6_zrJ zBoc oocoQ oqrozs q gzt'oo. " ""ffiEj;3::3 jr'"S":'S-:=^=y.* :f"d::ry-u!'",L", a Eodooo zode. B I

Bl?Sl:l;?#:oodco*,,"r*r."BJqA-,#;oX3?_,IoI.ffiffi ;.3"SJ(E6zderoc,:aJod

6,coO6f oa)c€oet$o o6aJar.)

-5-f, oz$zrlgcs Q edulia OdOced dlooc{ Q g1rn. IMoUOcOOd LV @SAcOOd es@g6rl I4M Ococc @o 88Oarezsopcs ocoEoo go_*1 "*-U-9l$-_g@.cge*ge*39g_eo_"d-_ _qEzrJ6r.-

21.

6,4 7 m g aS oadro 8@alOdcsro o6oco 88 m3 ro@ 8@nJOdocC creoC q6ca 6rado@a} eaccsnlo:.(seod qdcs r eDc ct! ft oar a$ oadro 8@zrJodcsro o6@co nrzh OAaJ @qe 6:1o6. rr8 qocs ceqoc227 @cacQc ouJar.)

23. Q erA dlee@cd, AEa6g oUOc OdOcs Oa D6de:ocs BEOo

q1a. ABCD cs@cnlodcgod OUod6o I cm2 oO Q q1Eoocdqdl cplgodul ACE Ao6i 06o66o ecsccsala:.

Q ezA dleocS, KLMN Oadro O4dgcs8. (N oUOcO Pqdoc Qd od g1ro. Q qrA or*r64d1 qplgodrl x I qoco

eescoala:.

dte@cd, A an B gdon eodaor c:an od6 oUOcoO qEOOdcs oesconJa:.

ou?fr1

loootE 8po 06ala.

---.,-.,,**.*;*@6ry,8+.fflm6r&r.qqffiffiqmFs;n W'sqj'

B o@Oc!gdzrr 6odeP O 8€eOr cOl9 gdco ogod O oooaja.

1. SOtozo qrE de o1o6ozil ce@gEoeoai dg@cszlJ E5.n,s. Or"SocJ q18 d6ood #O e<oodroo

d6o q10oo., +zs ur1@o ocaa orooU. rv

(i) ooOdoO d6cs q0@O rno lrl1@0 ocOo zodrdeu} OroE@d q(8 degccrJ roOd tocood gBococcsajzo.

or"8@d 986 ozrr deocsuJ # O *n" odQ@o oc8ro oaoU.

(ii) q(gO odq@o oc8b roduJeuJ toOgUoecorJ 86 E18 aloSecJ dgoceal ro06 ocoozd gBeeocozdor.

(iii) ?nJ olo6ec$ aod ocooz* U$o.saf 86 5@a gB ecoccouftn

l

Ioodrdgo eod 50H p0olcrJooocs8 goouDc €oqaoc oc8o rog EO Ol"Eocezrl f,d UgoonieoE.

(iv) Ol"EocC Oc6ocO eOdOeuJ oasccctJa.

Q q.8 droco, ABDEagfozsC.ocgozocd onococs8al teo oadalg ozoC+rc,s 45od oa BCDedrrlero OdOcsrogczocdocl Q ozocOo8rJ cqg€ Odoro qg oOoarE. oO8 BD = L4m oO.

22eoo q1doOu: cD.€68)co 86006 Q zB qoo trrgrn 7 occcqc oalur.(i) BCD orscOod O5odgco ecsccsuinr

ABDEoatOed OUod6c,, BCD orocOod ObodgooOuJ orad q6l:d eO.

(ii) AB I Qo otscoaJnr.

(iii) DCOcercqJ Qo oocoaJu:.

(iv) Odod oBBEcs oesccsrJn:.

. -..!" d"**.,-:.-.".-".,.=.,,.

ouzor7tSus-I (NEw) - t-

Odt6 a4O Aro@coo@ srocOd l00d 8e&. pq6f OUecozd gcd@oocl Q Og OO ozocOdo@zrJ

4{hd eacOcszil d'r8c:C 210 arBerl 8ag.6e0 co.

(i) A 66coo@ -@rota-Ci -tr EB666t J "bdro -CrQ giC-,?1rlccadn,. -

A ee@coo0 orococs zrc A8'&@oa, erg€ 90 9qe @ oocqc oozrr d@ pq@ oUeo qcd@oocj Q @

Odt6, oacOcezt d't8od ?fr a&ulozlr B a0coo@ oasod o@ g@coiod @e Q odod cc.

(ii) 046, B ee@co@al @e Q od orocOe3 o6ro ocscouJur.

Qq6f OUocs qOtscarc<3 Q erocoo o6to A o@ro@ eacOeoroO A6.eC 15 OrBuJ ooOzo gq qod B

o@ooO eaoOesaO dl8od 18 OrBzrJ eoOzl gQ. i

(iii) A oc B cc@co@OeztJ OgA e€€ $€ gcocoo qcqco@ eoccsaJnr.

(iv) A aOcoo@ Scsg @ erocOd aOc go raOc ozncoozn, E@ es@cos€ otocOd 4.H EQSo Brsocoo@ oacod 06 Q o1E@ Ecsc pq6f oUocs qOescaod Q OgO e€€ q@od Qctocoo qcqco@

oocouJzo.

Oz$odc er€oers 6 odie@,cC cslo 8go4 @ oeeoulqtfta Sscscs

aqoc 68, zt{g@ aoc cso8oc,: ozrr Eocscozrl 4oa:rl OdEoocsz$ o@6d oraddcoo Se 6o. Sgul eOO 8occcsaJ

eroCdcod qcardcs erano g1doO.

2D€O oroCdcod Sgri odro 69 ooCdcod Agzrl co65)o0al 4al qScsd q oo6rlo ooidcod SgzrI oaar EBo#cod Sgul ooar oozr! crd qocoad Q oO.

(i) 5B ooCdcod Agrrl @6111 9d EgnJ o6od ococsdogcs @orrlro.

(ii) Sococozd 4zrrO qpdler ezSu$zo O<dOoe ozSolg

oroCaog Eoc6dO co6zr)co rod, dOc Q qi8 OO

gdracdcs e€ qQc€ 8d e6 @a @or qzSOzdar.

aeA oocfcfrcl 6oood cddood(pe6o Gldooo Oo e6o6o

(iii) Sg oroddcod Egal o6a 30 zo@ o@@ eceso6!6odeod SEar pO ASrJ odzr: oeoccsaJan.

O

i [qoo18 8flo a6zdar.

4.

oooocgOe

{dpu

oumflBzls-l NEW -u-

eo8 oqzozoo c:ts O,cso@roo ooddcod Agaboal 15 oqourailrQ€dJqd Esoo 6gogO @cft rod o&o.

G1D*"-gqgDdg"gdq*qg9_.qno SEcocsoJ ep @ qrecril oq-o$-gQ- eq ztro oo gdroc&sro, 69EecscsO ggdzer odu$zo A€dO@d ozJa3g ozoCoo eoccszJzn'

eolOocsul oc A@c6ooEJ csUOesO aCA 5d ee:O8oa q1a. oO@ AdaOe2d 2d 8$dg6 O6fO Ozn

qod 986 doc oocq a6la e0.l

osOOelcsal qEoE @G€o a6faof gOroO eou: Oco o6zJsc rod anrOa O@ O6fOcs oeOOoO .@geoOd oCOcod qog oecs ec:OEocoal goroo ocoan o6zdsc todg 61eO.

(i) OCo qooo o16o@ erBdoooo gqcg EcqQgOrococs Q e16 @z$€ q@C 'x'ezEd oc.tcQc

Edtedca rodzrJrs:. 8€dg€ adA Bl at B,oe€E E oocq O6fO Grczoc G, ogco q qdoc

Stto'

(ii) go@ oooouJ od 8€dg€ adiacadod eorooorEo@ A{Ecs @to€ er@e8 oorsd qdolo8es@oc8rDcO otsccaujzl:,

o€A gooo q6O

(iii) goa er6zdodceO qgg, q€o0gUd drz$ coOoard ooo Q q1ro. qgd6: o@o€roc qdO0ai d1dtsOaoor o@g6.em zodaJa.

8€edg€ OelOcsd B @6rJ Q oeocq OCOcozil G O65J q Edlo6cs ozooU.l

ctg goooqas

(iv) o@o er6zdoood Q gooo ou$u:c o6fo oqorouJ Od agfacsd c:O6d EEdg€ orsd EoO

eo0oc8oco, dlzf eoooar qlgedrl oescouJzo.

I6IBII

Br 82 Gr

fu@M7rM/,p@,J

qOteoan o.crcg o

*,Iyl pry3| "Odr !"1rgtur putrr "frd", 20u reocriufi

Cenem Ce,rdtcate of faucaton tqq, Lcvel)

;F A oaorod gdar crod oc B effiood gdar ood ooidc oozn gdzr: gooroo g€rodr ..occzdzr.* gdrrogo 8€rBdr rslo8o@ Q qoe6c!o6 oc {i&dQdcoo @r,:c qdo,"Jar{e o1@ gdarcsroO O ee€ l0ar6zrJ gO @O.

{( cre@C qdct r Q c€c ll q ors egf oada od4Oro o6@co l*in ,A.{e q6ca r Our eoCgccrs o6@cO tnf oa. i

I

Ac@O6gdur oo@ o@6zd 8€rgdr ccooaJar.

oOO O:rcd8ocj Oco ezd8cs occccszrjzrr_

ggg 6,oto6!8o oo:ran:sozd ocEoooal ood qal goc:8rrl ooC desrsl86lgro 6lo:ral doa3occocscotlJa.

o@O O6ooci desal8@ olroOporo dorol8@ l2&d g0.q oO.(iii) o00(6 od qrooeoro q1B dcoalE@o6 dronJocs Eocarcs rodaJar.(iv) ooo ouoecj doal8@ ddo lq)r$ ddocqa 6oqo egoC 5&d oo. olrooeors q1g dtgrolg@

Edocqaro csqoc Olcs Oar gQe 6(BcsC0eerf EOcarcs rodalar.

(i) .r = -2 orrt Eo y I qocc ococcsatan.

(ii) 'r-qz$ocs Qodd y-gzdoo E@dd zBoc oogo 1046J droro drsd Ed1.6o oar od o6oc6o<acoc? oEOzrJ, gdrocd ro0ggoro Ooo 6oe.J gdoc&s qq6Jrr.

gd@Oo o0omd. eroo Q q1B gdrrOeA ggrDdl oooerJur.(iii) y a6o gg 0o, .,Q qra x B gocs gcnrodcs ocscoaJrr.(iv) Q qra 6os: y = (x + a)2 -D qczscdooal gzoco rodalar; o@8 a oc D csg egoorc oqrog.$ {^. ! - '= ?o@roddocs8

oa geo ocg qo@ddcznoo oescoc 0o861 .6. oqo, qoesrlzrrqocozS ecsccsaJzrr.

ozdodc otJocsro dcsrsro€ l(xhs, oro ororo cslalao dd,ooe5j @1a: oal2'rc eE oo orocd4dl cr€odzrJeocOurou: GQ ooO:rcro O:scd&szd ooro qzJ0r q1ro. i -'

(i)(ii)

,,

! = x- + 4x- 2 6'od gdaodo qlQo coqoc orod rodur gq g..oguo qoo oqod eroo Q g1o.

loqot8 8po o6alar.

. , .-os;gerEe;:-

4.

q6pc6csd 6'00B ooor g66' -lr

gqg, ocrc@es cs@o Oad Oe6rocsd AqEC-1100 a(SnJ Oa tc@rrs: Oc8zo Oc6a 2A BaJ oo0r 80 ae

"b "@-q O6 froo o18 cs. oOO +AO pOcs aqoc ooc@o osalco rsdp g0aloal Ear Oar odo

6c;cl oocogoozo A, B oc Tcsa: d&r6Oe 8g@Og2tj qo ocod, oaod ocsd oi oec6f ood 88oc cpla-

Ao. 6,q6al B qL Ao zr{ocDa86iri Tq 88oc q1o. rao q AT= lfi) m ao I8o f A Qo"ocs L62" @O-

(i) A, B oc T8 88OOog qg cooourzd cp1q Q g15 OgO coooal roduJzo.

(ii) nfn A 6ec6doo oescoaJzn.

(iii) $oaC.o08zo oq ocEioocaal AB A6 OodoeztJ oocc.suiur.

Ao 6,464|, Arrc B grod, CdOralocJ Eqd 88oc qldod TC = 175 m OzD o6Q o.

(iv) $srodo0Sro oq ocDrooou} eef a Oocgdoo oocouiar.

(a) OB gqUcoarozd esqoc ae0o erpOe Og osrri ooo qdoc q1o.

or6S8coeo - dficsC ?25

g,Ocs4o - dr8ccC 150

or68&saJeoal eso eo8uJeouJ oOzrJEo ardOcood OdO oOO gqUoroo aqdilOO 6doorod q1ro. o@@ rodOccso0 SEar gO8al co62D, O(AAAcctr, cDdzt o@zll oqqooO OOc ood016 cs. eOO rodOcoO aqoc grbOo eBO6O Oto Dur 90 9qe dt8oC 6 525 A.

(i) rodOccsoO 88a O1EEEoJ or6ur ro.ees oc gO8ul @{6u) yoe6 ooan coOocO ccozod.c6

gcoecszil oocozooa}o.(ii) csOoc0 cs0zodd g@ecc Eaqc rodOccsoO 80u: O16BEccuJ o6ur oc g,O8nl oSa oO5)

oOa @ ocscoajur.

(b) 225 p+3750s5500oro gco0crrocO E qrpo oro or8 Co6O 65eOo gocs otocorlur.

etora gdoon: rag drc, oquo EgooerrJ gdo droro x B oodraccSnl qUOcozS oc q6cs droro (x + 2) IOadocs8rJ ooodal uoeod oO.

o6 d1o oqoa8 O6oOe eoOcur lrq, r qlgoduJ OUod a0roddcszd oosOanoc Oo BcoQeOzrJ

x8 qocs eg,Q qoOdocanoo Sardq { ocsroalar. ,E A qcoco coqtoo l.4l ocscqc ordro.

(qdce r our oudrxsro o6od6cs or' "b.)

5.

larJftA 8gO oeu&o.

-2-

B €@ffi- - - --gdrrr ffiOrrO{md "Afur-uercszrho:*

(a) ee@ca oeoc6f roro toc8oocsnl 8d 6@d @ra 8d€$ Ad8cad e:oo gdooa o6Q oocOaogetoa. i

o EdEod ergg od@ce oo6c6f ato l068rd oorddro o8.o o€9 ode,crO eeogrJ 886 o1@ od@cso O 916 ooOc6! zolO o6a: dO qceeaJrnecsal @

oo@rrl 884 @dgod q18 oeoc6f a1O o6arO OOc 4a8reJ qg co.

o qOteczr: @dg@d cpldod Od ooOc6! rorOcszJ o@&.

(i) @O@ Ad8@ci B8O oooqd rsr,o od@ o<6rrr oesccarfur.

(ii)e@@Ed8cgorod86@o@Cocqceozoq16$6oooc6|b1o@6?'eescco5J2'.

(b) goaCahoO ogl8oro €r€,9 crQci 2 eO. OO.d8*J o€rqg qgcrcocs oan Oar qrod, @qO2fr cso 4olOurerQoe o0rsnc.: ?A or9.

(i) @O@ oglsocJ @crog ggetcoco orscoaJan.

(ii) ooo od8od adoa eqc: 1458ao oe:nJozrizr:.

t. eoro qzJoOro ESOc<6 esqac cm/mm o6OcrrcszS co8o eod6 qcdcsd oc zsOzoQOd er@.od oc8oadu}1. Et1@c6 oBOc e4a4Q@ o qdoulzo.

(i) AB = 8.0 cm, AC =1.5 cm eoc gAC = 60o oa trQ g ABC SoroCoco EUocdco rodzrJan.

(ii) AiB I ozoCer cooOodqrso EU@coc.3 rodaJzo.

(iii) CD = 5 cm Oar eBQ BC ecqce Oro D gdorcs ee€ rod D edeDor$ Q BC ecqcl de:Uo zodzn

at leBB ezoCo o@OoSqzscs @o O odrdgce 88ozo oodocs EUococs zodaJa.

(iv) goa E6Ocdcs zodzn 6q OadocsO B8O rDOd do6ceacsd Etf@c'c6cs zo6, Oce Oodocs detlo rodur

gdorcs Eo6ce zo@ zo-dia :

(v) P gzJersr,r, Qzd roc BE@o 88oa o6Q oc BAP = ertno^ er6q I ABPaO{Eecq $ozo$ocsEU@c+6o zodafal.

l

g. A,Bat C csg d6:oc3 Q q18 oadoco Oo 888 gz$e:s 36. CBcoA E tp18 oadood EdrsOocs8. Qdrsg, CBoUOoO oc Agzdorocd Q OadrooO qrQ deUoroo O I Q o$ o8. loO Q O8O OadooO qrQ

qoad derUcszscs @o E gdexs 88Oc qldod CAQEOada O4dgcsd Ozn e6Q ,a. ae n = ro 5)@

Atn = 3xo ao oerzrJoarfar.

loooQf BQo asuJor.

-3-

0* d.zered--Q*sr6-.dae5edeeo{dg= rg"q-r9-s.I-ee-reE-ge9992'' AC ac BC I oor sziloroO. AIoc BXoUoc

"E Q o8q:oo eO.

dleo @oO Epedr elBcoO EOod todoala.

(i) ABX L,= ABY L,oo oerzdorda.

(ii) BtY = 2rAB oo oealonjar.

(iii) Xf cec zo6zr&o. ABY LOUpOecs =ZxNY A OUoO6cs OO ee*riOzrJnr.

I

q662cm Ozt tso: csro6 ooC6cbd 6,d olocO eoCeoc.J cr6OcOO ccOcu: o6@cOd q16 tia agf Oado

oz$4Od €scQc co€ eOaJelzrI ed4eo o4egf 49o oc OB 6Oa 6;o qod qpercrlco 3:4Oa trgQ ca'

€ocqc oE 60zo 6@ ozdqoo erA6C qdca 2 * VI c* oo ooatoc, Ggl@6ro oq oc8roocoul oB qcoo

oqozn qe@e$Oczooa 8ftdQ o ococcsaJa

Eg5lJ 50 oqzo4oozrl o@nJ8o oaJ6orso 0,@eo, @oga go66)o rog o'&ro olog 4ad @qzD eE.

OgztJ @OO orOg Eoqc 5Q gcacfto SEaq oncd4ft 88ood ooo Q q1o'

o olOg 4oaxrt Od olOgOaOOd 8O1dq 6cog@ ozlcglp 85zd oorn 66'

. O olOgOO o@+6d 8O(dQ Ecog@ e1Q SgrrJ odzn 20 8.

. @ ologoo 8a.dq Eaog@ 6xP AgaJ oszo 8 8.

. @ o, @ olog oqroO O SOIO? Ecsg0 g;1Q 88 O Agoe ourc8 o'

(i) erora Q qB qcsOg6{6 oOrJ diecsOour OoA EgeC( ergcoO EOod rsdoour 9oo Q qBoocd461 d eg 8d1e6o rodnJzn.

@ ceqo, 8e(dq coqoc EoldQScog@ 61Q EcsgO erQ SguJ

(ii) dd olOgOroO OOc 016 olOg csoO:rcOroO 8ftdE Oeo6O erQ ABaJ Edlo'6o roda otroqdoOzr3 d1cxsOoouJ g96r rod qz$Orlzo.

(iii) @ ologoo EordQ Etsg@ erQ AguJ odzr oeoccsuJEr.

(iv) O ologoo AoidQ 6esg@ era SgaI CD52r @ olagoo Aa(dQ EogO ete Sgzd cD62r)

oqq6c.r8. orOE oqzoroO 6A1OQ AcsS@ etg 86zd o'our ococcsajar.

12.

O esqoe 8o(dqEtsgO erQ AgzrJ