Mathematics jee short notes, Summaries of Mathematics

These are handwritten jee shortnotes which are really helpful to revise all complete jee concepts in few minutes consist of all chapters with trick and tricks .

Typology: Summaries

2025/2026

Available from 03/17/2026

Kartik-chougule
Kartik-chougule 🇮🇳

2 documents

1 / 131

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e
pf1f
pf20
pf21
pf22
pf23
pf24
pf25
pf26
pf27
pf28
pf29
pf2a
pf2b
pf2c
pf2d
pf2e
pf2f
pf30
pf31
pf32
pf33
pf34
pf35
pf36
pf37
pf38
pf39
pf3a
pf3b
pf3c
pf3d
pf3e
pf3f
pf40
pf41
pf42
pf43
pf44
pf45
pf46
pf47
pf48
pf49
pf4a
pf4b
pf4c
pf4d
pf4e
pf4f
pf50
pf51
pf52
pf53
pf54
pf55
pf56
pf57
pf58
pf59
pf5a
pf5b
pf5c
pf5d
pf5e
pf5f
pf60
pf61
pf62
pf63
pf64

Partial preview of the text

Download Mathematics jee short notes and more Summaries Mathematics in PDF only on Docsity!

eS “Matz ices. DALES DY - =— ‘| Colin) a (Gs, om om ob oot = Chssangement \ = “ il —T Row, f 3 q ee Poe 1 St, Row 5 Ss A ay aad ots L ; Lake) Colmn = = _ es Algo bro. Sf od ni c8s, [ae BE for addition and Bubstoackon order should be came. [s 2S OFT toe Like Le a | Ly & J i oa { ae Sub tracton Pre | sae | —ar_| Seolot® Maltip ication. Bife 7 y [6..3.[ César koomultipGp faze) “IG ge ee) Sate 8S | = Distri bukve pre perty is —J eee) Nabd. a BYL = 2A s(A+a) = SA+ BRE 2] iy ee BS fae } Dalkiphoation, ae Rise auoNioam Ae cape = Onn Wath T ee | =e | 3xS a [24] (3 5] - [osu ws 403 7 2 fd | ty | Ey es ([_ Row Saas Pini MV doick. a a eee [Ue dind | loment No. =) Lino muitely Pow and Gul 24 O,, = 2 Rae AS Colum. Peopex tien 1 3° genvol , ABBA C997? $e ler GeO eee te ud ° BS G ® nero Need not whe A=ooF B=0 a) AB =Ac Need rot te bei h=c Gon Kee Rac) er SOE Ee: <9) Pes BA are ond B oss commutes |D pe = 268A" Bead B cen entcommute (Ss comma scve. wom i plicedion Bie clloge NEN madi 68 AS aie ordet) ee a ree me 2uso dont de - acBC) ef we lll UU QS Se — PAGE NO - te c 43 hero. CSaness oi) Son") iA = Sammealsic A Sked Symad = o T a \ = AtAT 4 A-AT \ i) D ® A+ BT = Symmetric pees <= Cys ik oS Sko2 Symmeterc pase ees || Gee gts | TeC Am )= Cot? ements Fo Squoae Pa, ‘eye 9 O23 athen. then odd ik) 5 E20 Gras | ae Adjorot _ oh, Mads x - fe Ad font = 2S = ayn O2 Oy Step 2 Sind mMepor- aun Or C23 Eee es View 8) Fa minor (Ae ony ( dekeradnosd. Toga O23 | Ae Mr M3 7 step 2 :- Cofachr. ci Ma M,, Myr Mes chonge Sign of, glements Ms: Mae [Res ot. Be on O&M tia, Mod Mey Mae Final Step tote teansfio e- +4 wes. DACKATA) = CodgA)A = IA] Eo Sao lp oS. ) adg CAs) (hag 8) Cody AD a) Jodj (a4 A) = = oe ee AD OW) adj ta, (aagA) = ‘Al Ba A eo sods Cui) [A capi SSN \Al non Singerias. wee pv to, eee a 2x2 4 a=fo b | + Bl d-b | ¥ [ea | eal =Y Susp diegonol are Sab q oh otg—b 2nd) o > Sigh change bd c 7 fox daadgsmoal Madux. | Bavesse of prelate, Lats Gasp ad! A* exist if A is : cae) ee a ) oS 7 lice Oo 4 Dryect heciprocal Sh oO o 2 ES) =e - 3 ie Ae j = _ Sime +sick Gy 3x3. # = + Nelle te) se || pi > Z a 2 -- 3 a ae ee at Ci os UW 3| RT A |e C/o Eo eer | cere m5 ql ae 2 2 =4L wt G Cancel +his then Cress mudi pty. mudttet hovizont corte png vUerticad. fy o J SuGe RECN) AS) = A @ AA fa BN Seo Regia? @ KA -1 pt is ; [3 7 — tila be { te KB ke a wae = dé «a4 & ‘gh 4 | | h j @® | VeAv =e lal whee n is order of A. _® Nolo ef, _ =i odd omer @ | eae ua MOS. 4 a" PAGE NO / » sare —~— the. Valin. _ 9 delce mie asl temas Sarns ao poy SJ - Sermemtet i AvanS hozmnabon 7 RR AHP ws CFG reels. (ATipe crenk | + —— f two 4485 L eas SF Rules ay =. + OR MR, Os pHreee. t ~ Al one J 4 au aay 4. ——T~~ oa — — SSS 4 ~ | Specie) determinants %” sap Me! 2 oe a> a be = Cx-wcy -2)¢e-x) t+ 2 1 z » yy? = (RY) Cy2) Z-X)Cxry42) SS eee ——_—_——— bc bc a | = ceed’ - sabe), By bb Wo) tfeYal ge ara} ee Rule etermenant ) mc CTordan method ) ey Reomogencus + Constant teem = zeae 2 | Tees ond Tips, 2) | Consistent + Solution exist Cunaua and sofinite) DUESatonsten + co Ssution 3 wy Taivied solution . aso, Cieey 25 + | ome sonoug Equaton ° == = - D=6 ake) = TRnike Bolotion = Taiaial = Non Anwe) a Uns a. Consistent - > ~ ‘ © Ladeahic, Ee vedio om PAGE NO.: ¢ = DATE: / u 5 SS ——— -| | Yr on® +bx +020 Cato) ~| fs a — - les =e Cee) =| r a a ~ ren =! * | Retation bekseen Roots and Goel ficients ~ | bs | i@) REM [5 iy IB <= ef a co H Qdentitien Vy XK +BY = Cat e)h-2<8 | aed id ot apt o> Gee ptyt ~ Bert BE ! As wi) 084 B= Cone - ane care? ww (8-87 = Corey - UKB ® foametion ot, Quadratic Fauation 13 &,p = Poots | xt ~ Csum)x + Product) <0 Neoton's Metned, £Powes of, Root) : obey + bb set —% Soin * ee I eh Bp OSoutobsh-, 4Conk= Oo | Ce vols) me 20 => then Sdentidy . PAGE NO.: § S donate: 7 1S ——— — : eo (> =- S50) Se ® n Fae ea aos - Ve : | ay j b= @® Has xe ewe Z fey \ peyaE ney =! S| BE Quadaatic Eg pation [ a ; a ~ ES less Sgmmebric anh + bo?+cx> 4+bx +0 =0 m9 og oited Bame Methed +@ z* se adaide. apart \ # bed) 40 <0 See} ae. alf aot \b-2\ + Bixee | te =o x) ] ea aH Es Condition Ses tom mo® scot, ——<—<——<——— = SS —=_ a ec alee he eS es ae Eva & Ai | Onx bux +0, =6 Ce Se | both soot Common | Ds Orly oe. yeot Commo%y ant een ‘ibe ee = Za = Sodtshy Soot Common) ee 4h.% 4er1=0 7H = Modiehy MH 24" with ay | a and a,ee? witha, F thik 4¢,)2 © = gobtact i rey) a) __- *C vse product of xoxt ! = jaa Sena ax \o eon Roots Ss 2) * ™~, Step 2 megk al) possiblitig iy sod. — Whe jwel wets We boteoeey 3 and S. — ors | aa | ~ A eee (ae Re a ti 4 ' a re { age ’ Step 2 = MD OFDH of ® -&/, © Gs) ” (>, Feod MBA Lo 29) z (ae Se eS Se eee — sk ails L leet chin ck | Ree j eI ey ns eee = ay a a . P A+6 = -b mE = C. i ( ey Ov hae 1 me) J Bees Sra ’ x © ao +b disc ll ai a Oo a a ie se x MasteR) se my adn Fe pte: + Ya " Wee mr bp HORN ee ae i. = ' yey Da ae SE —m-) . i Ab hy a Be) 4 1 eee ; || a Com eleme in — “TRG NoMETeY,” i Sdeotini SSG 4ee SB = 4 qu = Ot i Sed a O82 Bee%@ 2 taste = 2 pep } — coset 2 i) Cogecte - mt eo = t. re | : HORUS laa A Cae h Sie cr Eis Fane ton | | iE hae ay | = BOs a oe a ORE AM que) 7% No chang = - Sa en T oe, D4 ‘past Wi i Eo oa Uh (ae eventn) eg, SO a 08 bba IGA Ben Ste oe (aed : (GES) ean ae tly if \ Ce he = St lotsA = | a \E.ohitn has a = i ae =A ; : i Be es 2 SORces® +) CasAsin® _ 7s! Cog pda ‘5, ca-8 + sina cosB ~ cosAsin® | and Subtsac} \ : Cos CAB) |: Coen CosBo ~ Seah SinB , T ten cA-8) I: Cogh @SB + Sink SinB | a a — T > tan A +4ané . woe stenB 4 a 4ten Aten 1+ Aanhton& | Callao ee Cot p. Cabby. Lok A Cot B-i Lis] —) — eth - Bache 7 el “tee [ ete \ GTA Cot 4 Adel enol Sah cin HA) SINA-O) = Sta = SiO ces CAH) CoscA:8) = cot A > sir : FO CMt RHC) = tanh ++4an4 +anc ~ tandten®tenc | —— D- tanptanb —tanbtenc -tonc tone ny oe ® 2sinn 8G = SIocAt B®) +ainCA-B) ] tt (Se) a2cesA sin® = S9CAiB)-stoca-8) | (e) 2Cog A Cosh. = CostAte) +Co3 CA-8) \ Muti pli \ a @ sa2cinpsin& = cescA- 8) -Cosc Ath) i Nad ® | anc +500 = 2sinC+o) cos(c-9 sf =] i is Phe ( + Ad ol CS Te @)| sin -SinO = 2 ces (ere) sinCe-9) ly Pyltiphcotion t 2 2 t = : @)| cose ces5 = 200 Clr) ws C0) ' deidse bene ; 2 F oe. nl : @)_|_ cose =iCas Dac 283m C+0) incero) | | v es oo ; | | Sina6 = Jlo-2s5 Qypee = Ondy in Cos —_ Fal Onky 2 doubfs og) ss 7; > A ramallet angie a ® Eee + Bacere) a Sin Gelaedie 8b sin CX #jEn-2) B)) \ ’ u a> | |isin DP, ( sim Ce + cn-a0 6 ) ¥ Vie x na G) | Cosa + tos Crt) + SaB Corte) o> + @S G+ n-2) P) | wo sin Piaf. costa tr-2) 8 \ | sin Bfo PA / ] 4 A fFKR 2- ange fn Ar 7 x - Fist tom Csmattest) ~ Summation ve B> cod Common diff) — Fim los - 7 on NO Of foemns | 4 QuATTON. on il hh a 2 — E PAGE NO.: Poste: 1 7 \ __ = iiiitiiP_,_,,_,_. SSS! _ | : Steptir Sint 22 ( Votiablo | hilo = ©% Med ago) = Sepia neni ®|@®. (igure out — Be 6 ae | < 5 encdaut) ©. Tjond 1 Stee 3) wi yet | 0 fees et oe i wth | an 6 si SiR ie Bede ke | ] ae SGenzol olution :- 7) Sao =sinx = O = nnt(-1)"* CPR) Cos & = Cosx + O= ern tn (ith) ten = tent = O= nm+% _ fy) Sin2@ =Sinrh W Cos? © = Cos? K OQ = mime vip tontQ = tent a og Sia ce es = 8 Step t= Find paincipa) Solution Step 2 DBNX= Sin Use veap 1 Sar /2 fosmula. Y Use SrewteHt for Gemal Qo/.. tos.