Coverage of 100% JEE Main & Advanced Questions GUARANTEED 4 Years (1978 - 2018) JEE ADVANCED (IIT-JEE) + 17 Yrs (2002 - 2018) JEE MAIN (AIEEE) MATHEMATICS Topic-wise Solved Papers Aligned on Class 11 & 12 Syllabus Must for JEE Main, 2G Mamta Batra Advanced, BITSAT & ENT Other State Engg. Exams BEPELES + Goep. Offi 45, 2nd Floor. Maharshi Dayanand Maro, Comer Maskat. Malviya Nagar New Delhi-110017 ‘el, : 498420467 29842350, OF a] ‘Typeset by Disha DTP Team DISHA PUBLICATION ALL RIGHTS RESERVED © Reserved Mo pert ofthis publcstion may be repreducedin any form without prior permission athe publisher. The suthor an the _ubiaher do ot teke eny legs responsibly or any errs or misrepresentetons thal might have crept in. We hove tied and mde our beet eters fo provide sccurate up-te-dste information ie this took For further information about the books from DISHA, Lag on te www dishapublication.som ar eri info dishapublication.com GP_s4ao JE Advanced 2018 Solved Paper aol - 16 JE Main 2018 Solved Paper anie-d + 2008-8 JE Advanced 2017 Solved Paper 1-11 JE Main 2017 Solved Paper aor + 2087.8 CHAPTERS BASED ON CLASS 11° SYLLABUS “riganometric Functions & Equations 1-6 Complex Numbers 714 ‘Quadratic Equation and Inequations (Inequalities) 15-20 Permutations and Combinations 2-4 Mathematical Induction and Binomial Theorem 25-28 Sequences and Serles 29-34 Straight Lines and Pair of Straight Lines 35-40 Gree 41-48 Conic Sections 9-58 CHAPTERS BASED ON CLASS 12 SYLLABUS Tunetions 59-64 Limits, Continuity and Differentisbity 65-74 Diferentiaton 75-78 Properties of Trlangle 9 4 Inverse Tiigonometric Functions 85-88 Matrices and Determinants 89-98 Applications of Derivatives 99 - 108 Indefinite Integrals 109 - 112 Definite Integrals and Applications of Integrals 113 - 126 Differential Equations 127-132 Vector Algebra and Three Dimensional Geornetry 133-152 Proballty 153 - 162 Miscellaneous (Sets, Relations, Statistics & Mathematical Reasoning) 163 - 170 To) Mileyarss <3 = OEE EES 1, Trigonometric Functions & Equations 1-16 2 Complex Numbers 47-32 3. Quadratic Equation and Inequations (Inequalities) 33-49 4, Permutations and Combinations 50-56 5. Mathematical Induction and Binomial Theorem 57-70 6. Sequences and Series 71-85 7. Straight Lines and Pair af Straight Lines, 36 - 105 a cide 108 - 127 9. CanieSections 128-154 10, Functions 155-167 11. Limits, Continuity andDifferentiatility 168-193 12, Differentiation 194-201 13, Properties of Tangle 202 - 220 14, Inverse Trigonometrle Functions 201 - 225 15. Malrioes and Determinants 226 - 242 16. Applications of Derivatives 243 - 268 17. Indefinite Integrals 268-276 18. Definite Integrals and Applications of Integrals 277-316 13, Differential Equations 317-7 20. Vector Algebra and Three Dimensional Geometry 328-365 24, Probabiity 366 - 382 22, Miscellaneous (Sets, Relations, Statistics & Mathematical Reasoning) 383-394 + Thechapters have Bean duided as per the lass 11” & 12 slahusfllowed by the NCERT books. Some af hechapters which respi inthe class 12° 12° syllabus In NCERT Rave been combined, there might be cera topes chapters which re not ‘coveren NCERT but are apart of ME Advanced/ITIEEslabus, JEE ADVANCED 2018 MATHEMATICS PAPER-1 : aig yoton oxine eqnetions, Fah qeation fom upline {MLB (Cand ¢D1LONE er MORE THAN ONE clbese four pts sfae} eee For # nonveiasaplee naniar¢ Ta 36 dee the prin aeganene wath rs argc) x “hen, whch "hs ils sneer te) FALSE ea) AIDE eee eo 8) The fincwon F246 rr], delined by AO agg 1170 tor ll 2k is vemlinuous all pomof where | 1 4€). Faranptesnan-7em complex minha a6d75 isan spe tio ) Foranystve 2 Toa Liongle POR kl “PQR— WM arate sides Pant QR ‘uv tribe 1045 and 10, espectvely. Them, of Nh illoiny Yemen) HL? 1a) ZOUR 45° 15) hear Ve ae His 255 = 1 £C) Theralivg file ‘nsuelcofihetiangle POR is io —15 Hy he ang of he enone the angle QE i Os, Las js 2ee yea 3 and F445 —22 Zheraoplancs he, iho he lei ater) ste TRU? (81 “the Hae intotion wand has dinetion sali 2. 1 H thet 4 “6 i pempendianar ihe Te aFimerse an of, and (©) Thesentgaugle betwoon Pana i 60" (P)_ TP, isfeeplanspassnaroush he pint, 2,~2) andere 7, hen Meta ofthe pa 2,11) fom he souls oiling af inlgsatin and Dane is Forever ace difirmntablefineton fk 1-2 Af 0) +"? = shi tang ates infos ra 1A) Thorsen vore # whots rs, uch hatsone-ene thea ineral 9 (8) Terese ey £1 4.0) such tha Liz SL wo lin te (hy There ents 6 (LA) suc tat £00) +/7G0-0 and foed Foy (R97 and vB >Bho nen anweconatanl ties neta. (ESE MVe Ca) fra 227, re peal JEU=Qk2)—1, then which of Ihe fullowing, rE:s(re) TRUE? Fel bg? UH F291 ley, wy tein © sibel tog? 6 at £0. FF be nonin Raton sh Ma Hea “tune ‘brall r2[0.x) The, which fhe fling tweens eye) TRUK? (AL Those =f) posse through te pat’. 2) ®& Trecurve P43) asso thoagh th point AC) hearer ofthe vein Ieeaiela pen: firs pio Las * fesspeinincr: pga vein? @) Thearenettheregian foo} clare: forest A] is ® 4 Tais ction oatins& qusstions. The anwar sac question sit NLMIBRICAL VALU, ut each yveton eg Ihe re meri yao (in 4seinal ntarin,emneaedeenndd tt ‘he cond dealing. 625.700.-035, U2 50) 3. Phe yolneut (ugg FESR TPR A. Thenuniber oP dgicnomerswaish ars dive with Uys forrest 1,2, 4.4.5} al Fe veptiion is Me ie 9. Le X be tho set eanastng ofthe fit 2018 tema of tke Aeitennipogession 161°. ar be the ening fo is 20 ts ote artrmetc pnrensin9, 16,23, Then, tho-rumbar aelementsintheset XY Is (0. “Thenumber fea setae ofthe equation wide Sel Se] Ipinginthineral hale (Hore, the inverse ignnomsaie tonstons sin-le and coe eae vies aod [Ua sespeenveli) JE Advanced 2018 Solved Paper 1. For each pit img ge Nwitge 2h om For 26, let hethe grea intgsrlenahan areal fox 1f bo 3, £-taso the vale ofA, 12, Let B and § bocwmunit ects muh hat 8 =f. For same «8 Vt F= eka wh (ah APF =2 andthe ene Fis ining at thy pene age» Wo oth dana 8, then te vale oF oa 1, Lela 8, ¢ be nee onzer rel mumbers suck th be eaunen : J mre divin cvs [EE], as eo inners roan andpith a fo Thea, esse 14.4 have habia the spa angle wilh eto, 17,0), U:, and Freodhistan,sncighhowig, sim, ks anuy thse which bocbatnsentosade PQundscurest the firm yin Atheweaufthe sven taken avy the farmer # a crastly 30% af the seo APH thon Theva 0 This seen somtaurs 2 papas. Base um ea parayeuph ‘reine 2 ypstions Fach ution has fn eon (A). 4,16) sd{D) ONLY ONE ofthew tau ephooes ort PARAGRAPH at Shoe elaine plone dein he ea pops IK Tet FE aud F Fhe te hard 0°8 pase hous he pra P11 nd eralll to th aan adhe Yas, esposvely, Lat be the churd ot § pstog laa Fyand having opel. Vtthotngents te Sac Fy and meet ur, te tangents to at Fund meet at, aad lhe longens tos at 9m Gy mae a he, Tein 2, Hy and G, iso the curve ety 4 By teaeegyay Ow ay ana sd 6 Gp_s4ao MATIEMATICS, 16 Lau ke paver title § wish coon nas ing prsisse Let be kgent lS al Palette coon ssezal eons Maud The, even lt ie “agen AN Fe ths uese ay as © <i 2 ™ 7 PARAGRAMT 4 ror aretive student... Sg and Snare ous ane fethem thors are RivseatsR Ry Ry Ry aNd Re ranged ina ow; wher nity theseatR, salle tothe seaden 5, = 1,2, 3.4)8.Bat on tiecxamination ey eis sadons rs tandony allot Exe set, "hs preity eon excision the snc asthe presiously alloted seal, aad NONE of the "taining eels the preville ois his im a "| an 5 2 » b OR wm 5 For 251, 2,3:4,1tTedonets th sant acho rude 5 and, de NOT sit adjacent cach eer on the aye the exarivarion. Then, the prahailiy ofthe ceent “ 1 io i De A JE Advanced 2018 Solved Paper SECTION -( ‘aivsecoum coat 6 questions, Lach ques Gem aastour opions {ALIN Cand ¢D1. OSE er MORE THAN ONE lee four pons (ue) caret 1 Pocunspostve megern, dei f fel tot {2 wo tart | tor ad & te WGemena pet re, theimversetigonometriefonetion an! rasmmes “Tha. ish ofthe lonng Ron ae) TRO on Soha wot fay =38 Yaeger egeon-0 {© Foranyticodpostiveintgera, fam ean ya IP) Foranytinedposveintsgers, bmn se 2 Lec be te ine pusing ‘rou tbe pints P12, 1am 92.-5) Ter F hetieset otal pairs aeitoes (5,18 tba Pastungeal tS, 3. sod Lange 1 ant uo sush Tat § sal euch ach the ay, 8 # ota seecopesooang ho los Mas the pa (8) variggin Tat he gta gia Finca ining lupe ofdienet pos of untpusngbrough te pam AIL, DheF_ Tet brah 1 aF ho mid pongo heline segrsats fi ce act Len. whic of the Sllewang ttenors) (6) TATE? (A) Thepomt 2. besa 1) Thepaane “4.7 dacs NOT bein 13 (© whepeiat 2.1) wines a wy thepaat “0.2” does ROM eine et Sethe se otal eotiaa macs | | sc bat § ys by, ¢ Rand:heasscom oFsquations i eal variables) yarn eo2p ly ts ut fest ene solution. Lhen, which ofthe flo gto in eal arabes) has hase a leastano sation 6 tireash | |e? (Ab etdp Be bydp Ls Syamte 2-62 by 1) ely SB, Sew I e-Bay we G pr din d+ Memb ade 3p SE= 4, WW) et2y—5e- be Se~ baud ty 5e~b, (Comsser ru sip ins, exch of whichis tangrat to hth Fe ics 2 he pntel—e Tet these tines intomect atthe pean Q. Consider the eMtinse whose cles tthe erg Of0.0} and whose semana sisi Teche length afte nerve eas oF ton ih othe lenges) ne} TRE? (As Fectheatinss thecseenrctyis ane angth the lane 81 {Fy Foethe tpt, heoseeniiy ie b and lenthof {Cy ‘Thearsa ofthe tegron boraded bythecllinsc between the tines ands in ete 2) {D) cara orths regs borndod bythe clips betes 1 thommess~ Se anda tis 2 ia irae Lets, fr bs nex-zee cmplex meabers and £ be the set vfatuumss—x— ip (2 7) efthezqution ee HT tren, wae Tab Than whieh a he lossy satel (nRUL? (A) TrThasexaelyonecentnt fn N= 4 0) hI ben2 sinkinitely many seen (C) The muh stamens. fees 25} at () Uae mare than ae comers, hon J. 388ufitely many ements Gp_s4ao MATIEMATICS, 6 Lalf (8) ¥Febeo bwivediteestinte tig atl MINE gt alla 33 them which teil ieee} intel IRLEY wf ut 1) si tastier th 40) Therecasts © (spac thar #*¢00-8 This selon outa Bqaestions The anc each qui set NUMERICAL VALUE, reac queton, eae the ears Panes wali deal tation, teureonte oF 19 the second deialplos; cg, 6.25, TOM. -0'33 3 507, -12730) 3. Thovahisofthoingra pots tec Pani 8. 1a Phe a mais er 3 gutta Feng in are hea 1,0, 1}. Tho, the ining saluoof he doermiant of P's Ye UaL bea el wth ently $eeents ea” be vl with evel lenny Hie thencerles ofreune felons Fen £10 a is he ne eo Fnations fen 2) A thoothovaicot | ae AO, Let f+ X be dren time wah F105 ~ 0.1 17 fe sues Ue illerenta equation © a-syew 9, tha the value olin H,Latf:K Bhoasdiernuableneton oath it rateying te omation MOANERAL WAP LO.) falls, pe “Thon the ealac af og, (FA (2, at Pea point nthe tnt stan, hogs image Q fa the lanes y= thas theline gent perpen tothe ‘sane + = 3 and thems of Pee he plane esate ani, the distance? othe “earit be. [FA i te nage oF Pin he p-lane, sien the length of PRs 13, Cansider toeeube ube st gen mh sides OP, Cad (OR of length J. along tbe wavis. sens and Zan W gaSB, a8, Pasi and £57 ten the valcot pays ie FH is 4 2M IMP — 1M 2 1,2, 10) demulebioui sues, Thea, shevatwoot Lv is Ta SECTIBN-I ‘Trisostion coming 4 gestions. 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