, pearance Rare Been | tar wae weiss Wen (Gan aed) | 1 uteri woe B arpa ay ave see: MAT IM ATICS ee Riva ots Subject Code: ___ UT Wat ar fet va faery Day & Date of the Examination : "ab 025 . £ Saturclay WR Oy oT AAA . ‘Medium of answering the paper: _ reel ooo eee ee eee = a amie % ok feet [ Code Number | eslolt. Set Number Write a No. as written on the top of the question paper : 602 &@| @. , afaRad weR-gror ee a Wear No.of supplementary answer -book(s) used , - ors fawott oafts : ei / Hef ‘erson with Benchmark Disabilities : Yes / wo No facpetiter or ats ( weer 7a} SEPA ) __. Code of Disability (As per the admit card ) ae qa aor cre — ferftter waerer aearar rar: et fai ; Whether writer provided : Yes / 6 No wee fee 8 ch waar ¥ are a - ‘OT APs If Visually challenged, name of software used : ee Ur A ue oer fea) ae & wets aT S ate eae ae far wis 21 af uteri a 22 gent & sie 8, a Saat ara F gent 22 ser Bt Pe ach letter be written in one box and one box be left blank between each part of the ame, In case Candidate’s Name exceeds 22 letters, write first 22 letters. . a , 70119167 | } apraferes scat a fey - 041/ 00599 Space for office use1. OhON NO . Write on each ruled line on both sides of the answer book. . Number your answers according to their numbers in the question paper. . Draw appropriate margin on the right side of the page for rough work which should |. Securely tag your answer book with supplementary answer book(s), graphs, mapset . indulging in any of the following activities shall be deemed as use of unfair meai Instructions to Candidates Onreceiving the answerbook ()__ ensure thatanswer book contains 48pages. (ii) check that all pages are serially numbered (including title page) . (iii) _ fillin and blacken all the required details/fields correctly. (iv) use only blue-black or royal blue ink/gel/ballpoint pen. | Drawa line when a question (or a part thereof) is finished. crossed out afterwards. DONOT 1 (i) waste pages by leaving wide margin. : (ii) make any special sign cr mark in or outside the answer book, supplementa answer book, graph, map etc. ' (ii) write your roll number, name of your school ar place of examination in any of yo! answers. (iv) fold the pages of the answer book. i (v) ask for supplementary answer book unless this answer book/previo supplementary answer book is finished. (vi) leave the examination hall without handing over the answer book to the Assista Superintendent. (vii) Candidates are directed to write the Question Numbers only ‘and only in the mar: and notin the centre of the answer book or any other space in the answer book. willnotbe evaluated, (viii), Candidates are directed not to write or mark anyanswersordo any other rough or any other work on the question paper other than writing their Roll number at tl demarcated space. practice, result shall nat be declared but marked as UNFAIR MEANS (UEM); (a) Having in possession any item or article which has been prohibited examination centre or may be used for unfair practices including any statione item, communication device, accessories, eatable items, ornaments or any of! material or information relevant or not relevant to the examination in the pa concemed; (b) Paying /Placing someone else to write examination (impersonation) candidate's behalf or preparing material for copying; (c) Breaching examination rules or any directionissued by CBSE from time to time, connection with the conduct of EXAMINATIONS; (d) Assisting other candidate to engage in malpractice, giving or receiving assistan| directly or indirectly of any kind or atternpting to do so; (e) Writing questions or answers on any material other than the answer book gi by the Centre Superintendent for writing answers; (f) Tearing of any page of the answer book orsupplementary answer book etc.; (g) Contacting or communicating or trying to do so with any person, other than t Examination Staff, during the examination time in the examination Centre; (h) Communicating with another candidate or the Assistant Superintendent dire or indirectly; (i) Taking away the answer book out of the examination hall/room/centre; @) Smuggling out Question Paper or its part or smuggling out answer boo! supplementary answer sheet or part thereof; (k) Threatening any of the officials connected with the conduct of the examinations threatening any of the candidates; (!) Using or attempting to use any other undesirable method or means in connecti with the examination; (m) Forceful entry/exit in room/ Examination Centre/Hall; (n) Use or attempted use of any electronic device after entering the examinati centre; (0) Uploading/sharing any examination related material, correct or wrong, on SO media; (P) _Affixing/uploading of fabricated photograph on the admit card; (q) Erasing or obliterating any information printed on the ANSWER BOOK(S); (f) Providing wrong information on the answer sheets; (s) Having in possession question papers of previous years; (t) Ifa candidate approaches any Autharity(ies)/person(s) related to the conduct exams soliciting unauthorized privilege(s) in these examinations; {u} Taking tegal course or any other to influence CBSE for gaining advantage in thei favour, by providing false information.avr ae ° regia fier as, fect WITH GRAPH PAPER CENTRAL BOARD OF SECONDARY EDUCATION, DELHI SENIOR SCHOOL CERTIFICATE EXAMINATION (CLASS XT) Wax eee alehde Wet (wen are os! o4 05 06 _: O7 A 08 og 10 TOTAL | - 4 t-| gel = (TTP 0 15 16 7 oo i8 79 20 | TOTAL / Marks at let lf es = |-grO =) | ae | Q.No. 2 22 24. 5 28 wares ls aon Pt,” Q.No. 32 3 34 395, * Se ee inte TOTAL MARKS IN WORDS 1 puis u instructior Also, mar! qh 3 Fa eta sire a4 R I certify th points det Signature o A rat & Ser st we A icentify th inside isc answer bt mistake ir are Aon f (/) a4 TRE certify th found tha: correct mi (I ctas Cer oles qer Wee 2 obra eevee & Bs A sa sere GReee or asia aes va 3 wd Ge 2 ager Ben 8 ste | F seri pea, oh Woe | ‘| GRAND TOTAL|. '2q a Tg fe A ga om gftest @ ag, aetiet aa aa eT aI 3B fe a Bi apaiet rere ee ofr BS A et Fe sre a Ser var Br ge re, Sie g1 Gee ee Hoel afafia ae 8, sa ear oRaar ar S$ tha Rew orate 3 ad eet aie oor a Bak Ae Br od oP arg Y wa ayy osSECTION-B > @ uralu 2 Oo, Pel pith phon axu (Let). Ip, cos oh + cof B + cas" Ved > 3 ¢0°"% =4 [° X= £=V] 2 - tosh = Lyey eS F we we ee ew ve 4 ' f AA + Sin 2% a 0 | ve 7 ira f , aie” x + cos? + 2sinr cas ot G Vd = sino + cost | ot Sih 29 = Zin Ws > ia \ (sin x tex)” wey > (sin + {= pf + In , > ~osyt tog Q° sih_ve — sing: y ) 4 -O = {4 [Aw HL [Aw /so ewe eo eg stom £00 = —Siy+ [~2/y-2)+ (342 =0 2) (3 on) -2 =0 “> > +O 6-H = 2 | > 947 -7 —¥§ =O 12 4+ 4464 {{a 0@ oe eo Ow et Hw ff 1 3S t <2 X4 i ~2 2 M 5 (b) (Ata7h dy + 234 ath fy + 2 = Yy* cbt Lto= Ito”. . ee 40 Pt | fe a R - fm ie a tuliple of N V AD ror $ummetn ‘, — tetls the Bed (Yo) , fou Gg Hew. B js a Aymninetnc cot but dha ing fo Ay 4H A 2 but ries - pwsa bof tue. “Rois not syrmetn'e.a ee ee wove rererrrs 11 om ee transitive, yy q: =((3 4), U),(y 2), or 7: lore, £: is_a__tnultiple of Ui 4 inutile of 2 aod is alm — a4" muy|tple ip. _ (b,c) € C £ (ao € Co. boo ck a tramibve. —— tranki hve alley. tyvitx =f Wy KA Vity = - tx = ~~ So = Tx fe ci = : re (= " + ee on af Ytel et aa) | ye log tate (oc 1)” Laxey ry] = 2wotal[t te sce tee Tes Pt ee ees . hoe toe .* “* eo "Hy ee So ote, ." af ‘ . seo Te oe FM Pe ee oe a . . re 13 + eee o 8 car eg . Vig) plo= 3 > Pla) = 1-3-2 t. P (other numbors) cow tg. | 2_can appear ether O44. on 2 times. P(2 did not Appear both the times) = _ - 49. = 049 to 10 [00 oo pede in 4st chance nok in 2nd ox 2 Appear in Qnol_ chance not in tsi) — oye + 33 lo jO0 [0 |o ( ~~ Pa Z| to; = O.2\+0.02| = 0-42 loo {00 Pls Vlobear iN both than ee.) = 2,2 = 9G = 0-04 lo Jo loo Z x-Pte) = (Ocoua) + (420-40) + fox a.nd = O + o.ua +t 9.49 = 0-60 = [0.6 | fs | a oaarteue 14 dhe. 44 _-: 9-4 - Ole +4 ot 4 [X= 9g A a>~ Oe BM ee Le ew 21 32 sae ao e. fends SiN (ex) = Gin 2 teas Je got a | | : : : (7 | Gd loca] marty a aut So acal mnie bo gue Point of thdbction at ve,: + -y 2O os | ~X4+ 24 22 te 3 <4 i > 0: Ze = —Y — Optimal ste 2-00 = att (er , « so : - 49.5 M 3-252 | ! eas R415 = 418 3, 73 : — | as me ot | (0,4) | ! 7% is min'nized tb “44.Eee het fied = me aT 4 per pest zo Pe EE = {BEE SEtEdb aH sind eetrets = Petes | tf Ete ss : ae i Ht Het Et : re rae Heras + nH i eee eet Et : petra ey feasted sie ee ta Eee He Set Herder: Het os He 1 ra aie 7 * THE qth eat 14 {het eee EGE is SH SE teal ay PEEP et at aL rH HA es eae EEA i tert Peete TE rH tie i ae Bron t i 4 ae rH] she te HATH Hor] sites f He See 7 Fe saa ci Frsese: He Rot bit Ht Ty Aare 4 Tr FH H A eS ALB Pete rh ae cH atte 4 + tT} aa Heh Hee re Lata +H a 7 Tati FE Su He Gy : at fvbrl to 2 : oa Spee | zee H Hh Se ae ret ae Hae Thr ahi sel Siac BoE sai . fae ES Tite a ea fh ae i HE aul + reas fs 7 1 a at RR] HEY eR HEE A a tt + Leet: HoH 4 ee HET Ei t Lt pet tt ue SAPEEEE EEF rab cba abreast I rs be| = ‘ Ty Ta TEETH Td + a t He San 2 [HEE pee t et pies : Hy LE a SHE THi He st eta FEST gE “ae Se ears ae deine a thee ete bit ry earth = - ae HERES ai zt (eae ad SESS = = t Paya ieAtey a Ei s HE i SEO ‘ TF ; pssal acti esate f ie HF reser Pee ELH ied ee ae UE peanened toatdcers Br HE E oe te EH + an HL. z EF i Ty + 4 1 feet i rs ee + t PERE Hy oH ps i. 1 $e ppetie T : $ Hy aT fa BFL iaaee 7 oe Swe varies hig ge 0.020, nel Z=-4 — 4 = —~5-227 = ~S43=-2 . ie Ya m= Y-z ty = Ys4-2=3 SECTION -E [ Hap Celecte) = [35] fa. R Pe aeee i a 20 ee bee “Hoge poi ENE) P (FD | pled: 04 P(F) = 5 =4 =0,9 100 2 lo “55 a = = “Craft $F O58 = U2t0 5 B71ES RTA Rat FI TREC pee | ay cet Sas ena! RE atc Eaefebieas tits tht +H ee [tet 1 ifs SE 4 et Fr oa ee Prey + + cen at Trt te Be aula Hse LF Elie prairie ay Tags tetra lle oa 2 Ht HRT tte ER aH t bi i Ha fig breeupesagpsaes 5 St ; et aH Erp a LEE #4 ot T. Py [HLH 1 a ot a4 aA Br {He ha He f He cH 7 za 7 i riti te eg boty : Th eee HE See ete E ict mag + = BETTS ert EER ait : i Bll Bat SE Rep [HS ie c x it eT. ut = fat t ih PEPE eet | bi Ei fi 7" £4 TRI THE ry we ' : igen tees ; th 4 eck] ery: oF Tr Fu 7 aoe t Erg PS arEA ay brit Es deities te] eet 4 baht Ph an i fetta a . Bey 3 45 a4 + opts iat Bi a T rt £ vitae rie Wy Le ili as BY fe “ ferttiae 7 aay : aft setts: te TE a Hae ith ty EG i as Sates ite 4 = He ae 4 Bere Git sr In q ree a tT Gite tt tt ae eae aa ea TEE ope at ee Bh pede ag ene Te Poa atte eat itt TREE aE BPH THT : HEATH a Gish ; teal; Hib it ¢ waa tal i 4 ARAY: Ht tf Ta Tao + 4 HL Seas a fie PRE ah oe 4b ret Pubbir! Feetderatainc es ret if HES! petra ah papi aS oF EAT Piet Hea eat sh ms fe Hr : 8 ape re #164] suite ty ie de HA bi ah tS ers TH Trt at ue Hie i iy fe = I he + 3 ane] es $a 42 4 £ a8 =F : I te Cae b AL AE be HH aESTBIS T ; er ape £ +h ae art Ht 4 He Hirt qt HoH ta a te eer +H HEH Tate hei Apes aE sleek i ei HS HE HL eye th RRR T A PEEL AL Sree fHtTt ie eee pate RE {i tg Hb Hitt £5 BAT EG re : Let ht ty tre Ht pe 4 HET es a i if tt cay Ee “Tf 4 i ial te “WH ; HS a iF HE at $ HE I a nil os estes Thr TT To TH Ha te re 7 Ee Pe He i iE i tie HE LAE wie T a +p tbs TEE Te t TH reet Hs ha tt at ditt Sa Pere Eh He THY 5 lp Tee ify TF + : = 3 + FI tt aE te + He a i HTS o if ath [Es Het ad as 4 £ dt a ty thE Y Re Hiatt bree Tr arte TEETH thie a tes tetittes rere ae fy] HAD GU a Pas fit TE thilen Trieet e > t Fite “ft 4 Pal) Bde t ay q the # r piotheres oe = oeteeee e nae fy LAE Barc Peseseire te at hy Tit Tat Cotes Taaflie fr He Cee HE ae im [a a THES nH fe Haire ETS (ethinga a) wren ti -dy (x42) ( (42 +4) nC Mote) Coe® = ort) col se (oe+29( 024 a X= A) (x2 - = O42 os (oct a 2+) (2% a= [x79 4 -~- 2% —ec: : nest eh tien ly OC ira tee le teh el 17 34. 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Y. 5 » e 4 Noy M yaa . © Bey,te tte ewre Crt a yovs Lae ef e a “, &; e » ** ww ° a ‘eo o wie fra & foue Fg ee Fee we tev poe * xv a2 * Te Pn ww pe 47 Space for writing : Question Number Bee riewo al Dy var em Tah Py 1, “ONS wy 4 4 Pa yo s wet vas ayer a s we » a: Se ee bea orate He tee? 48 oe seri | HEE = 9 =P 2yu =F 2 | ae + / ) ot +)CJ A X= 0 Ys 4 — ty t_] X= 4 gs 3/2 -— oo | x2 ye o | Nj ——| 22 Ee esp X _ | mend y =O 4-0) +-0 tip= ae Yo atte. £(%) _ . ro O yr 2 ; (a) mo | |" 4 t f fu | 7 lz 4 - | 74 =3 LS, 72 ~$