Mathematics Grade 11 Paper 2 Eastern Cape November 2017 Memo

Downloaded from hlayiso.com “=e basic education | aa Department: Os Basic Education SZ REPUBLIC OF SOUTH AFRICA | NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 11 | SS ce sas yas 5S Sm ee ae | 7 MATHEMATICS P2/WISKUNDE V2 bt i ii i NOVEMBER 2017 . i i " Hy MARKING GUIDELINES/NASIENRIGL YNE A WEerrrrrerretitrrrrrerrerrrrrrrrrerrerrrrrreree MARKS/PUNTE: 150 | DEPARTMENT OF BASIC | | epucation | PRIVATE BAG X395, PRETORIA 6001 | 2017 -il- 15 APPROVED MARKING GUIDELINE | XAMINATION | Bad These marking guidelines consist of 20 pages. Hierdie nasienriglyne bestaan uit 20 bladsye. Govonde! is|n| 207 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief |

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 2 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrigiyne NOTE: Ifa candidate answered a question TWICE, mark only the FIRST attempt. e Ifacandidate crossed out an answer and did not redo it, mark the crossed-out answer. e Consistent accuracy applies to ALL aspects of the marking guidelines. e Assuming values/answers in order to solve a problem is unacceptable. LET WEL: e As 'n kandidaat 'n vraag TWEE keer beantwoord het, sien slegs die EERSTE poging na. e As 'n kandidaat 'n antwoord deurgehaal en nie oorgedoen het nie, sien die deurgehaalde antwoord na. Volgehoue akkuraatheid is op ALLE aspekte van die nasienriglyne van toepassing. Dit is onaanvaarbaar om waardes/antwoorde te veronderstel om 'n probleem op te los. QUESTION/VRAAG 1 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 61 66 1.1.1 | min =12 ¥ min + max Q, =17 Y median, Q, and/en Q, Q, = median /mediaan = 30 @) OQ, =38 max = 65 1.1.2 | JOR=0,-Q, ¥ answer/antw =38-17 @) =21 1.1.3 | Skewed to the right OR positively skewed ¥ answer/antw Skeef na regs OF positief skeef ql) [5 (8 [to [17 [20 [29 | 32 | 48 | 50 [50 [63 |» |107 | 12-1 | Mean/Gemiddeld = 439+ creer ors 7 41-394 ig ls ws | vty 13 2 a) gq fe iis = & Sic 439+ y =533 nz pw B $ Y answer/antw yaa Cre 28! @) 1.2.2 | o = 30,94 nals = & rf ¥ answer/antw eal Fae () wait o> et G@ fe gi ag =i" Copyright reserved/Kopiereg voorbehou ~ we—nonnwewonDease turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 3 DBE/November 2017 1.2.3 41x13 = 533 18x6=108 : ¥ 108 Overall mean time : Y 533 +108 = 641 v 533 +108 _ O41 = 33,74 answer/antw 19 19 3) [10] QUESTION/VRAAG 2 2.1 CUMULATIVE AGE OF PERSON FREQUENCY/ SURVEYED/OUDERDOM FREQUENCY/FREKWENSIE KUMULATIEWE VAN PERSOON IN OPNAME FREKWENSIE 20 <x<30 7 7 30 <x<40 20 27 40 <x <50 25 52 50<x<60 12 64 60<x<70 72 ¥ 20, 12 70 <x<80 76 ¥ 34 80 <x<90 4 80 V16 (4) 2.2 |n=80 ¥ answ/antw ay 2.3 | 40<x<50 ¥ answ/antw Q) | Copyright reserved/Kopiereg voorbehou [SEPARTMENT OF BASIC | { 3 LOM i PRIVATE BAG KGOS, PRETORIA 0CO1 | or tie t5 | | |_APPROVED MARKING GUIDELINE | Serctrysc tet i Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 4 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 24 &F = = = Ogive/Ogief 90 r : i Em A eM a ieee em 7 | ¥ Grounding (20; 0) i chor | IGeanker by (20; 0) 80 Y upper limits/ boonste limiete ¥ shape (smooth curve)/ 3 60 vorm 5 (gladde kurwe) 3 § 50° | @) Ry S 340 4 | s = 530 EY g 20 Hs = 210 B=} s -n oS 6 10 20 30 40 50 60 7 80 90 100 Age of person surveyed/Ouderdom van persoon in opname 2.5 | 80-58=22 Accept/aanvaar: 56 — 59 calls/oproepe “58 22 calls/oproepe — x 100 = 27,5% v22 80 ¥ 27,5% GQ) [12] ‘NOWVNINVRS SMTi BNITZGIND ONIMNVH GBACudaY Gh -H- diez hh ‘ 1000 WINO1SMe ‘sa: {ewrmennstenitmeerenrve rere sta BEHE Le MSIE AG Lt Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 5 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne QUESTION/VRAAG 3 c B T 15 x fe) Ww A(-2 ; -5) 3.1 1 ¥ Standard BD yaryet9 form/vorm 1 Msp et Y answ/antw “Myo =2 2) 3.2 yy =m(x-X,) ’ «wb (2:-5) —(—-5) =2(x—(-2 subst (-2 ; — ¥-€9)=2e-2) Y answ/antw y=2x-1 Q) 3.3 1 1 2x-1=-2x+9 OR/OF 2y+x=18 ¥ Ix-1=-Fx4+9 5 A(2x-1)+x=18 V xa4 2x=10 2* 4x-24+x=18 x=4 5x=20 VY y=7 (3) x=4 y=2(4)-1 y=2(4)-1 OR/OF =7 =7 * * ¥ 2(02x-1)+x=18 T(4;7) T(4;7) V xa V y=7 (3) Copyright reserved/Kopiereg voorbehou SC DEPARTMENT OF BASIC —. EDR CATION ‘| PRIVATE BAG Xag5, PRETORIA 0001 } 207 -t1- 15 APPROVED MARKING GUIDELINE | [goes cones |

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 6 CAPS/KABV ~— Grade/Graad 11 — Marking guidelines/Nasienrighyne DBE/November 2017 3.4.1 _—24+x 2 8=-2 + Y x=10 x=10 —5+y J= 2 14=-5+y Y y=19 y=19 Q) C(10 ;19) 3.4.2 ~ a_(o\P 2 (5) ¥ subst. in Ar = (4-2) +75) distance/afstand =¥180 form. _ _ ¥ answer/antw =6V5 = 13,42 in any form BI? +AT? =AB’ (Pythagoras) Br = 15" -(visoy Y subst. in pyth = 45 Y answer/antw =3V5 =6,71 (4) 3.4.3 | BC is the diameter/ middellyn [subt. right / ondersp. reg Z| ot/o, [conv.Z4 in semi -circle/omgk. Z° in halfsirkel| . 15 : =—= ti . Radius 5 7,5 units/ eenh. VV answlantw @) [15] Copyright reserved/Kopiereg voorbehou DEPARTMENT OF BASIC | }__SevcArnion PRIVATE BAG X896, PRETORIA 0004 207 -1l- 15 APPROVED MARKING GUIDELINE PUBLIC EMAMIMATIOTS Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 7 DBE/November 2017 CAPS/KABV ~ Grade/Graad 11 — Marking guidelines/Nasienrighyne QUESTION/VRAAG 4 B(4; 12) 8 A c ACS5;-3) 4.1 12-—(-3)_5 Y subst. in ap 4-(-5) 3 gradient form. OR/OF ———T1 Y answ/antw if i i ~3-12 5 2 |g wl) @) 5-43 4 |g ao Bo nm Bist 4.2 5 \oQieg “ots Y equation/verg. y-12=7(x-4) hele = an eq &. 0-12=3(x-4) “a 3 go v y=0 a8 eS! x—_16 Rig. £2 5 ale | n{ 16.9 a or Y answ/antw 5° (3) OR/OF Q- 3 O+3_5 ¥ equating/verg. x-4 3 x+5 3 vy=0 —36 =5x-20 9=5x+25 , —16=5x —16 =5x -16 —16 xa > Y answ/antw @) 5 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 8 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 4.3 | tana=m,, ¥ tana => tana= 2 NOTELET WEL: ° Penalty 1 mark for incorrect ¥a=59° a=59 rounding (2) Penalisering 1 punt vir verkeerde afronding 44 BCX =76°+59°=135° [ext Zof A] ¥ 135° tan135° = m,,. Myc =-1= my, ¥ tan135° = myo ¥ answer/antw y-(-3)=-1(e~(5)) Y subst (-3 ;-5) y=-x-8 Y answer/antw (3) [12] QUESTION/VRAAG 5 5.1 sin(90° — x).cos(180° +x)+1an x. cosx. sin(x-180°) ¥ cosx : v — cosx sinx : : =cosx. (—cos x) + ——. cosx. (—sinx) y Sinx cosx > - cos x =—cos* x—sin* x Y _ sing =~(cos* x + sin? x) ¥ common =-1 factor/gemene fakt. i Tt TI Y identity/identiteit 2 8 PAPA (6) 5.2 sin 315°. tan 210°.sin1 90° < |¢ me | LHs =Sis'o tans ale @)5! age cos 100°.sin 120° wzie 2 Ble) |v ~sinds +n45°) (tan30° \(_ sin10° o2le Sis) | ¥ tan30° _ sin45°) (tan30° )(- sin10°) Saree ae ¥ —sinl0° (-sin10°}(sin 60° ) ace ait v¥ —sinl0° Sais = =! . ‘° 11 ag @ alg v sin 60 a at ar Y subst. of special = B a is S15 angles/inverv. van N3 a ff eo sp hoeke 2 A i -%2 ) 3 Gr Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 9 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrighyne a” R (a D¥« , fo) T x P 5.3.1 x’>+y? =r? — [Pythagoras] y . (x)? +)? =3? subst in pyth x =16 Vx=4 x=4 tana = 3 Y answer/antw 3) §.3.2 sinB =sin(180° +a) ¥ B= 180° +0 : Y -sina =-sinn _73 ¥ answer/antw 5 @) Copyright reserved/Kopiereg voorbehou | TGs Cou : ee | | APPROVED mal RKING GUIDE! Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 333 Y__~3k vz v2 10k 5k 10 OR/OF 10k y=-6k yo vk “x =-8k 5 5k P(-8k;-6k ( ) Vy=-6 Vy=-6k VYx=-8 Vx=-8k (4) 5.4. _ sin@—tan9.cos’0 cos@ —(1—sin’@) . . sind 2 v Sind sin® ———.cos*0 cos = cos® 5 Y cos? @ cos 6 — cos“ . ¥ common fact/ _sin (1 - cos0) gemene fakt. cos (1 - cos0) ¥ common fact/ =tan0 gemene fakt. =RHS (4) OR/OF sin 0—tan@.cos?6 LHS = : cos0—1+(1—cos? @) y sind : sind 2 cos a sin® — os 8 Y 1-cos’? 6 = cos 5 ¥ common fact/ cos@—cos"® gemene fakt. _ sin@(1 — cos) ¥ common fact/ cosO(I - cos) gemene fakt. =tand (4) =RHS [26] Copyright reserved/Kopiereg voorbehou DEPARTMENT OF BASIcC EDUCATHSN PRIVATE BAG K895, PRETORIA GUCt 2017 -11- 15 APPROVED MARKING GUIDELINE | ARMNATION | Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 11 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrighyne QUESTION/VRAAG 6 DBE/November 2017 6.1 sin(x — 30°) =cos 2x sin(x—30°)=sin(90° — 2x) x—30° =90° —2x+360°K or x-—30° =180° —(90° —2x)+360k 3x=120° +360°K —x=120° +360°K x=40° +120°k x=-120°+360°k ke Z NOTE/LET WEL: X =—120°+£.360° is equivalent to/ekwivalent aan x = 240° + k.360° OR/OF cos(90° - (x —30° )= cos 2x cos(120° - x)= cos 2x 120° -—x=2x+360°R or 120° -x=-2x+360°K —3x =-120° +360°k x =~120°+ 360° x=40° +120°k, ke Z ¥ sin(90° —2x) Y 5-30" =90° —2x+360°%% ¥ x=40°+120°k ¥ x-30° =180" (90° ~2x)+360k Y x=-120° +360" (5) Y cosf90° —(x - 30°} v 120° -x=2x+360° ¥ x=40° +120° k v 120° — x =-2x+360°K ¥ x=240° +360°K 6) 6.2.1 | 180° Y answer/antw (1) 6.2.2 -Isy<l ¥ values/waardes ¥ notation/notasie OR/OF Q) Y values/waardes yel-L 1] ¥ notation/notasie Q) Copyright reserved/Kopiereg voorbehou | SEPARTMENT OF BASIC: EEE AT PRIVATE BAG X295, PRETORIA 2007 207 “Mr 15 GS APPROVED MARKING GUIDELINE | f PUBLIC EMANATES Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 12 DBE/November 2017 CAPS/KABV - Grade/Graad 11 — Marking guidelines/Nasienriglyne 623. | Sy | / : / | _ | ¥ x- intercept | | | | | \_ | atlafinit by 30° | | ; ; | | | ¥ shape off i | | f | i | i | vorm van i ——- 105) vTP /DP pot | | H | | \ 3|g 60° 90° 1207 150° 18 Y shape of/vorm van g v TP /DP (5) 6.24 | y=-80" x= 40° ; x=160° vv vone mark per answer/een punt per antw.(3) [16] QUESTION/VRAAG 7 fo le w| 3 | . 13 Bie * Bw Ze a ao = ‘1 o& = * Fa pare ie = 7A x? =(2x) +BY —2(2x\3)cos® ¥ cos rule > Y subst 12xcos0 =3x° +9 0= 3x? +9 cose = 12x v simplifyiverceny 2 coso = 2_*3) #3) 2x 2 cos =~ +3 4x Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 13 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienrighyne 721 2 ¥ subst cos0 = (2,4) +3 4(2,4) 6=Be09 Cos = = 0.9125 Y cosO =0,9125 0 =2415° -B 80 Y answer/antw. (3) i22 Area of/van APQR = ; xPQx QR xsinQ = 5 *48x3xsin2415 v subst = 2,95 units/eenh? Y answer/antw. (2) 73 2x+x >3and x+3>2x x>1 and x <3 vy 2x+x>3andx+3>2x OR/OF ¥Vx>1 and x3 For/vir x>0, cos@>0 243 0°<8<90° vV0<> x2 43 Ax <l <1 O< 4x x? 43x<4x x? —4x43<0 (x-1)-3) <0 1<x<3 V¥V1<x<3 (4) [12] DEPAROMENT OF BASIC | EDUCATION 207 Ale 15 APPROVED MARKING GUIDELINE PUBLIC EXAMINATION Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 14 DBE/November 2017 QUESTION 8/VRAAG 8 8.1 1 v V =—Ah Area of square/van 7 ; = (16x16) 640 = —x(16x16)xh Kile 3 Subst in volume h=7,5em form = 2) 8.2 . . _e_ 2, 92 _ Subst in pyth slant height / skuinshoogte=s = 7,5° +8? =10,9658.... V answer/antw ¥ Subst in SA/ . . ; 1 BO form. Total surface/Totale buite area = (side x side)+ 3 xs Y answer/antw =(16x16)+ 4{$x16x109658... (4) 2 [6] = 606,91cm? QUESTION 9/VRAAG 9 on TY Q |g wi | 4 z 3 | nzie 2 BiSi O22 glk: pas zis bye = | efi SL) goa & Big) es a Shad & {2 a.}2 | oe oe ES 9.1 Construction/Konstr: Draw/irek radii OR and/en OS ¥ Constr/Konstr In AOTR and/en AOTS OR=O8 | (radii (radii) YS (OTis OT=OT (common side/ gemene sy) common/gemeen) f. =F, =90° (z on straight line/ op 'n reguit lyn ) YSIR AOTR = AOTS (90° HS) v v RT =TS vs (G) Copyright reserved/Kopiereg voorbehou Gr Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 15 DBE/November 2017 CAPS/KABV -— Grade/Graad 11 — Marking guidelines/Nasienriglyne F A 4 4 B LI 8-x (6) 8-—x D 9.2 line fr tre 1 ¥S/R AF = FR =4em ine from centre 1 to chord/ van lyn van mdpt aan koord OD =OB= 8-x (radii) 1B’ = OF? + FB? (Pythagoras) (8-x)? =x? +4 64-l6x+x? =x? +4? 48=16x x=3 length off lengte van radius =8-—x =8-3 =5 units /eenh ¥ (8—x) =x? +4? v Answer/antw G) [10] Copyright reserved/Kopiereg voorbehou i; DEPARTMENT OF BAS | at ; PRIVATE BAG K805, PRETORIA B0ot | | ae ont? te 15 (Ae ip Please turn over/Biaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 16 DBE/November 2017 CAPS/KABV ~ Grade/Graad 11 — Marking guidelines/Nasienriglyne PUBLIC EXAMINATION | APPROVED MARKING GUIDELINE QUESTION/VRAAG 10 a a 33 . qii¢ xs Oee J / Hus a S2ig9 & / ud & af ,, gaya | gq 3 8 | a ay N\ Il “sy 2 NPS, R 10.1 a, = R, [ tangents from common point/ rk ine van selfde punt YS YR Q, +R, +70° =180° [sum ZA] vs 2R, =110° R, =55° VR, = 55° — (4) 10.2 0, +0, =90° [tan/rkl L rad] YR Saco Y O,=35° Q, =35 Q) OR/OF non YR R, +R, =90° [tan/rAl L rad] Y 0, = 35° R, =35° (2) O, = R, =35° [OR = 00] 10.3 M, +R, +Q, =180° [sum Z A] — |vs M, =180° —70° =110 ¥ M, =110° ML, =110° equal chords subtend = 7 at the centre/ Y S/R a gelyke koorde onrsp. = Z by mdpt (3) 19] & Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 17 DBE/November 2017 CAPS/KABV ~— Grade/Graad 11 — Marking guidelines/Nasienriglyne QUESTION/VRAAG 11 a, ‘ig | 5 wu! i2 is wy qj Qik 3 coe z 2 Cc ant 3. $§ , vila & p PRS de = pa ig a i) \* bea D —_ ei A E 111 B, = B, = x [BD bisect/halveer Z ABC] vs ABC = 2x 0, =2x [Zat centre = 2 times < at circumference/] YS VR [ midpts.Z = 2 x omtreks Z| BCI] OD [corresponding are equal/ooreenk. “is gelyk] |“ R (4) OR/OF a . OR/OF B,=B,=x — [BD bisect/halveer Z ABC] vs a : YS VR D,=x [angle opp = sides/Ze to gelyke sye] B, =B,=x -. BC||OD [alternate angles are equal/verw .é gelyk] VR (4) OR/OF . . OR/OF B, = B, =x [BD bisect/halveer 2 ABC] YS ABC = 2x O, =2x [angle at centre = 2 times angle at circumference | YS YR [ midptsZ = 2 x omtreks Z| O, =180° — 2x [Zona straight line/op reguit lyn] 0, + ABC =180° ~ 2x +2x =180° --BC||OD [co-int angles are suppl/ko-binne Zis suppl] YR 4) Gr Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 18 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 11.2 ODC =90° [tan/rkl 1 rad] v SIR C=90° [co-int/ko-binne Z's OD|BC] VS VR @) OR/OF OR/OF B,=x BH, =90° —x ftan/rkl Lrad ] SIR C= 180° ~(90° -x )~x [int Z's of /van A] VS YR =90° (3) OR/OF EDO =90° [tan/rkl 1 rad ] Y SIR C=90° [corresp. / ooreenk.Z's OD|BC} YS YR (3) [7] ——e | DEPARTMENT OF BASI BAS {_ Epucerion i | | PRIVATE BAG xe: 896, PRETORIA 0001 “{ 2017-1 15 I _APPROVED ED MARKING GUIDELINE | iF PUBLIC Exa EXAMINATION “| Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 . 19 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne QUESTION/VRAAG 12 12.1 B= Aj=x — [tan—ch th/ rkt-kdst vSvR A A Y¥SVYR C, =A;=x [alt/verw.Z° AD || BC ] E=x — [2° in thesamesegment/dieselfile segment] ¥ oe R P, = PB, =x [vert opp/ reg oorst] (7) 122 | § B+, [exZofA 7 +C, [ext Zof A] VVS VR =x+y (4) OR/OF DCB=x+ y VSVR D,=DCB=x+y [corresp/ooreenk. Z= ,AD | BC ] a s: . YSVYR -. EPA=x+y lz in thesamesegment/dieselfde segment] (4) DEFER MEAT OF SAS | Brcariton RiVATE BAG X806, PRETORIA 0001 2017 -tl- 15 APPROVED MARKING GUIDELINE | or PUBLIC EMAMINATION | or | Copyright reserved/Kopiereg voorbehou

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 20 DBE/November 2017 CAPS/KABV — Grade/Graad 11 — Marking guidelines/Nasienriglyne 12.3 B, =y [tanfromacommompoint/ rklyne v dieselfde pi DPT =P.+ P, +P, =x+y+(x+y) =2x+2y C=xty DPT +C=180° [opp Z* of a cyclic quad/teenoorst. Z° van kv 2x+2y+x+ p=180° 3x+3y=180° “x+ y=60 [ext Z of cyclic quad DCTP] OR /OF B=, +C,=x+y [ext Z of cyclicquad DCTP] PD +P,+P, +2 =180° [Z'sonastraightline] Xt ytxt+ytx+y=180° 3x+3y=180° 3(x+ y)=180° x+y=60° v S/R VC=xty y S/R ¥ Answ/antw (4) VYSVYR YS/R ¥ Answ/antw (4) (15) Copyright reserved/Kopiereg voorbehou TOTAL/TOTAAL: 150 DEPARTMENT OF _EDce, 207-1 15 |_AFPROVED MARKING GUIDELINE | { PUBL. its BASES | Be BMAD oT | Please turn over/Blaai om asseblief