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oundation Series SECOND EDITION MATHEMATICS ave The IIT Foundation Series 1 0 (Second Edition) Trishna Knowledge Systems Adivsion of Toumphant Institute of Management Education Pvt Lt PEARSON Chetan + De» Cheat Insite nea For move dell, Si wana dinefeduesan cay he arm ef tis publication 1s ta supe formation caken fram seproes believed to be valid and reliable, “Tins ts not an atvemper render sng type of professional ace er analsis, nor is te be tested as sich ‘While much care has heen taken to enstre the veracty and curency af te information presented within neither the publisher nar is authors bast any responsibly for ame damage arising from wnadvarent ‘onussions, negligeice oF inaccuracies cevpograpcal or factual) that may have found thet way into ths book Copyright 2) Trisha Knowledge Systems, 2012 Lieansoes af Pearson Kdneation in South Asia ‘No pant oC this eBook. may be used a reproduced in any manner sbatsoavel without the publisher's pint ‘hus eBook may er may not inelnds all asset that were part aP the print version ‘The publisher raserves Ihe ‘ight to cemuye wpe material present inthis eBook al any tie. ISBN 9788191761228 aISRN 978925100 snd Offic: A-M(A), Sector 2. Knowledge Hmulovard, 7h Har, NOLDA 281 309. bndia Registered Office: 11 Local Shopping Cene, Panchsbeel Park, New Dell 110.617, India Detailed Contents Gass 10 Preface to the Second Edition Preface ‘About the IT Foundation Series ‘Structure ofthe IT Foundation Series CHAPTER 1 Number Systems CHAPTER 2 Polynomials and Rational Expressions CHAPTER 3 Linear Equations in Two Variables CHAPTER 4 Quadratic Equations and Inequalities CHAPTERS Statements CHAPTERS Sets, Relations and Functions CHAPTER 7 Progressions CHAPTERS Trigonometry CHAPTERS Limits CHAPTER 10 Matrices CHAPTER 11 Rem: \der and Factor Theorems 1“ sa 65 36 149 " 201 21 251 Deweied Contens CHAPTER 12 Statistics CHAPTER 13 Geometry CHAPTER 14 Mensuration CHAPTER 15 Coordinate Geometry CHAPTER 16 Mathematical Induction and Binomical Theorem CHAPTER 17 Modular Arithmetic CHAPTER 18 Linear Programming CHAPTER 19 Computing CHAPTER 20 Permutations and Combinations CHAPTER 21 Probability CHAPTER 22 Banking CHAPTER 23 Taxation CHAPTER 24 Instalments CHAPTER 25 CHAPTER 26 Partial Fractions CHAPTER 27 Logarithms 269 309 375 401 435 455 464 479 505 525 54a 561 374 585 596 on Preface to the Second Edition 2 € Tig ith pabvevignn hak we sent tie geo ection oF te TT Rowign series sooks. The acssst of our fret edition indicates that thers ete 4 lage gitag nf sede vwhe wish 20 deve inca Machematies, Physics and Chamisrg hevand the reticions of heir eo: Labo. We tke the opportuasty +2 thal a cho che svecen and co reutiom our commiment te ineveating seecefic temper umong te fe so kave comtaibered to suaeu ernst Cer es Tas. or gras wa: In wesiwal fsb fiw many Sashasts anal ass sh Kes cet has grea we grea satscecinn se anor dae choy have be reachars Lave ah thom these books and have cppreciated tke app: preveatutiot of coucens Ther: eedbie's ‘us eaeommaged us 12 extetd Cie nave aed O32 slapued in TTF esl veri obo ts edie bo Roataleng oC Clas? 4p well. Ta er acho surticuls, che “andamsntals Mechsmsies and Srenes thee students tudy in Classes 8 Io are avtoducsd w: Cae 7. 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Featnes the book om ya bela + Th dsakil thar sil se p usm aunvsed in + The ansthodsligy aimed at helping seudesss tharaaghly scented che concepts mt Mathomties, Pht and Chesney Hops diselyp kgs approach os Mechamsceg, Physi aunt Chemica ehereay on aling + and varius romped ssnsinasions snore effecive a aie, ‘an queens assed. ay hestdsczoet exams .catione as wel s application: 0 ‘navept ate eeglaines. 2s a well ar ascuted and sack, manne, ui, swle Legge Thins earn. + Allvge numhsr at empl sage hsen inrludsl 9 help einfiree ens cancape esas + Thimorent level 6 practi exervies have hoea prosided which help sears develap the ving il, sping in ind the erro bend eho sama. ca and competzive exasiiataise euch a8 G8 NTSE, NLSTSE, Seenes Olyunpi Cahor Opn The booke will “ses help the ar sen in he necessary appation and preherese unitorie~acng of are aughe'e wegulee hoa ee ell a oan 1 developing dre scum, rovleiag in a Aiciassive edge over ehsir pose, + Given below are a Sour examples chee dencotstrce ‘aor Exe couree oll help stadsnte in ashes elie: (and hese smb canaions) aut 3 abe hel oa secng the Landamental Hie doesn kingfher eatel file? ‘The hing ss seo cally ede pion th i ovo pangs its wat a le-The rancept hove i cho> the normlly iesitent aps do so underga totartoe, betes ths fish be sareto he. At any once angle, the appar: hacia ot the Fah esse vee -voeld he dient enn ie ral lees Abra he 197 Pinder Series Why do we marmally sncing eur arms while walking, andl why mit when we carry a lord fn ome ens? The center of eraity of buy depends om de disaibution of caus fa the body As we walt he rnave-nent the gs ba cue shila the cemie of gros: Ty compen Hi aie hill een ge are Fen ac ern han th. eae th. Trioe C.. ener hing it eer a si brie Whey does salt hecame damp when hept expased daring the rainy weason and wat when pt exposed during sumauer? Te thera asa Iii #4 gma ery gs Fa the ya ha eisai Use simmosphere. Thee cileiumn chlor, which is re iupurity prevent coxaou sl abvorbs Usisracisame ar shes Ene sl ene, Te smn, hve the leper ysme iy igh elu chloride targ ks Inose mbisams Uma se fcios oPennration, ard ths sa ke ee flowing, Structure of the IIT Foundation Series g & “The theory pat dea vith he worms ss lay eg Chere trys Mathassatien whi petal ve allan pscvibel by eajurbuinl for Clas The corscepas are expen 4 ci reommer nel cagrin hve ree rove, whenseer seer, hire Haye cess “Thin exerci is poovidaeae the cond ofthe cheery ation of rsh elapte. Those valksticn af very let antral ansene al ery ypc sh rps stan. 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Uh cant af descriptive qcestions ofa a.gher level a diticulry lees euee.oms help tudes pps ance that they have Ize, Key pint Fo seeened qnescions of these exerclies hase heea provided atthe end of each chapter in ordar to hel> stidents sol these quewiens v and Chomatey se beaks: rrilake or 768th ch and Wh clases separately for Mathemat:e.Pysies