Padasalai s Centum Coaching Team Special Question Paper

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1 Pdsli s Cntum Coching Tm Spcil Qustion Ppr KOg; ghlg;gfjpj; Njh;T - tfg;g:-k; tfg;g kjpg;ngz;fs;: ghlk;: fzpjk; fhyk;:. kzp gphpt m Fwpg;G: i) midj;j tpdhf;fsf;fk; tpilspf;ftk; X = ii) t;nthu tpdhtpw;fk; U kjpg;ngz; iii)nfhlf;fg;gl;l hd;f tpilfspy; nghuj;jkhdtw;iw njhpt nr;f.. A = vdpy;> A vd;gj ) ) c) d). A,B vd;w VNjDk;,U mzpfsf;f AB = O vd;w,u;j NkYk; A G+r;rpkw;w Nfhit mzp vdpy;> ) B = O ) B U G+r;rpf; Nfhit mzp c) B U G+r;rpkw;w Nfhit mzp d)b = A. myf mzp I d; thpir n, k U khwpyp vdpy;>dj (ki) = ) k n dj(i) ) k dj(i) c) k dj( I) d) k n dj( I) r. A vdpy; gpd;tutdtw;ws; vj rhp? ) r thpirail midj;j rpw;wzpf; Nfhitfspd; kjpg;gk; G+r;rpq;fshf,Uf;fhJ ) A MdJ Fiw;jgl;rk; U r thpir G+r;rpkw;w rpw;wzpf; NfhithtJ ngw;wpuf;fk; c) A MdJ Fiw;jgl;rk; U (r+) thpirail rpw;wzpf;nfhitpd; kjpg;g G+r;rpkhf,Uf;Fk;ghf ngw;wpuf;fk; d) midj;j (r+) thpir kw;wk; mijtpl mjpfkhd thpir nfhz;l G+r;rpkw;w rpw;wzpf; Nfhitfs;,Uf;Fk;. r i k t i j 7 k vd;w NfhLk; r. i j k 8 vd;w jskk; ntl;f;nfhs;sk; Gs;sp ) (8,, ) ) (-8, -, -) c) (,, ) d) (-, -, -) y z y z. kw;wk; vd;w,iznfhlfsf;fpilnas;s kpff; Fiw;j njhiyt ) ) c) d) 7. U G+r;rpkw;w ntf;luhftk; m U jpirpyphftk;,ug;gpd; m MdJ XuyF ntf;lh; vdpy; ) m ) m c) d) = 8. i j k, i j ck Mfp ntf;lh;fs; nrq;fj;j ntf;lhfshpd;> ) =, =, c = - ) =, =, c = c) =, =, c = - d) = -, =, c = 9. j k kw;wk; i j k vdpy;,d; kjpg;g) 7 ) -7 c) d). A,d; piy ntf;lh i j 7 k, kw;wk; B,d; piy ntf;lh i j k, vd;f. U Jfs; A vd;w Gs;sppypU;J B vd;w Gs;spf;F F i j k vd;w tpirpd; nry;ghl;dhy; fhj;jg;ngw;why; mt;tpir nr;ak; NtiysT ) ) c) 7 d) 8. i + vd;gj c vd;w rkd;ghl;d; U %ynkdpy; kw;nwhu jpht ) i ) i c) i d) i i. vd;gj d; Kg;g %ynkdpy; ( ) ( ) d; kjpg;g ) ) c) - d) -. vd;gj d; Kg;g %ynkdpy; ( ) ( ) ( )( ) d; kjpg;g ) 9 ) -9 c) d).,d;,izf; fyg;ngz;) ) c) i d) i. y 8y 7 vd;w mjpgutisj;jpd; ikj;njhiyjft. ) ) c) d). y 9 vd;w mjpgutisj;jpd; njhiynjhlnfhlfs; y 7. vd;w mjpgutisj;jpd; nrq;fj;j njhlnfhlfspd; ntl;lk; Gs;sppd; pkg;ghij. 9 ) y ) y c) y d) ) y ) y c) y d) y 8. y -,d; nrt;tfyj;jpd; Psk;) ) c) d) 9. = t cos t ; y = t sin t vd;w tistiupd; njhlnfhl mr;rf;f,izhfts;sj. vdpy; t d; kjpg;g ) ) c) d). U Nh;f;Nfhl;y; fuk; Gs;sppd; jpirntfkhdj> mf;nfhl;y; U piyg;gs;sppypu;j fuk; Gs;spf;F,ilpy; cs;s njhiytpd; th;f;fj;jpw;f Nh; tpfpjkhf mik;js;snjdpy; mjd; KLf;fk; gpd;tuk; d;wpdf;f tpfpjkhf mik;js;sj. ) s ) s² c) s³ d) s. 8 y 7

2 f() = cos / vd;w rhh;gpw;f, y; Nuhy; Njw;wj;jpd;g mik;j c d; kjpg;g ) ) c) d). nts;sg; nguf;fj;jpd; NghJ n`ypfhg;lh %yk;,lg;gl;l cztg; nghul;fs; t tpdhpy; fl;j J}uk; y gt g 9.8 m / s. Vdpy; mj Nghlg;gl;l -tpdhfsf;fg; gpd; mg;nghuspd; Ntfk; ) 9. kp / tpdh ) 9.8 kp / tpdh c) 9. kp / tpdh d) 9.8 kp / tpdh. y² = ² (-) vd;w tistiu y mr;ir ntl;lk; Gs;spfs;. ) = -, = ) =, =. c) =, =. d) =. u = y u vdpy; f;f rkkhdj) y y-. ) u log c) u log y d) y -. / cos. d; kjpg;g) ) c) d) / / cos sin /. ( ) d; kjpg;g. ) / ) / c) / d) / / cos 7. d; kjpg;g) / ) / c) d) f f f 8. f =) f ) c) d) 9. (D²+D-) y = d; rpwg;g jph;t). ). c). d) dy. Py Q vd;w tiff;nfo rkd;ghl;d; njhiff; fhuzp cos vdpy; P d; kjpg;g ) cot. ) cot c) tn d) tn.. m < Mf,Ug;gpd; m d; jph;t) = c my. ) = c -my. c) = my + c. d) = c. dy. y' ' y' y vd;w tiff;nfor; rkd;ghl;d; thpir kw;wk; g ), ), c), d),. fpo;f;fz;ltw;ws; vit $w;wfs;? i) flts; cd;id Mrph;tjpf;fl;Lk; ii) Nuhrh U G+ iii) ghypd; pwk; ntz;ik. iv) U gfh vz; ) (i), (ii), (iii) ) (i), (ii),(iv) c) (i), (iii), (iv) d) (ii), (iii), (iv). p pd; nk;kjpg;g T kw;wk; q d; nk;kjpg;g F vdpy; gpd;tutdtw;wpy; vit nk;kjpg;g T vd,uf;fk;? (i) p v q (ii) ~ p v q iii) p v ~q iv) p ^ ~ q. ) (i), (ii), (iii) ) (i), (ii),(iv) c) (i), (iii), (iv) d) (ii), (iii), (iv). pg;jidf; $w;w pq f;f rkhdkhdj ) p v q. ) p v ~ q c) ~p v q. d) p ^ q.. gpd;tutdtw;ws; vit $w;wfs;? i. 7 + < ii. tpfpjkw vz; fzk; KthdJ iii. P vt;tst mofhf,uf;fpwh;? iv. cdf;f ntw;wp fpl;ll;lk; ) (iii) (iv) ) (i), (ii) c) (i), (iii) d) (ii), (iv) 7. khzth;fs; vojp fzpjj; Njh;tpd; kjpg;ngz;fs;,y;piy gutiy j;jpuf;fpwj.,jd; ruhrhp. NkYk; khzth;fs;8 kjpg;ngz;fsf;f Nky; ngw;wpug;gpd; kjpg;ngz;fs; ypu;j f;fs; ngwk; khzth;fspd; vz;zpf;if. ) ) c) 8 d) A 8. f() =, vd;gj X vd;w njhlh; rkth;g;g khwppd; U pfo;jft mlh;j;jp rhh;g (p.d.f) vdpy; A d; kjpg;g ) ) 8 c) d) 9. U rkth;g;g khwp X d; pfo;jft piwr; rhh;g (p.d.f) gpd;tukhw 7 P(X=) K k k k K² k² 7k²+k k d; kjpg;g ) / 8 ) / c) d) - or /. U njhlh rkth;g;g khwp X,d; pfo;jft mlhj;jpr; rhhg f() vdpy; ) f ) f c) f d) f gphpt M Fwpg;G: i) vitndk; gj;j tpdhf;fsf;fk; tpilspf;ftk; X = ii) tpdh vz;.f;f fz;g;ghf tpilspf;ftk;.gpw tpdhf;fspu;j vitndk; d;gj tpdhf;fsf;f tpilspf;ftk;

3 iii) t;nthu tpdhtpw;fk; MW kjpg;ngz;fs;.. mzpfspd; NHkhWfSf;Fhp thpirkhw;w tpjppid vojp p&gp.. 7 vd;w mzppd; juk; fhz;f.. U nrq;nfhz Kf;Nfhzj;jpd; fhzj;jpd; Lg;Gs;sp mjd; cr;rpfspy;,u;j rk njhiytpy;,uf;fk;.. i), c, vd;gd d;wf;nfhd;w nrq;fj;j ntf;lhfs; vdpy; c c cz;ik vdtk; fhl;lf. ii) r i j k t i j k kw;wk; r j k s i j k,ilg;gl;l Nfhzj;ijf; fhz;f. 7 i -,d; thf;f%yk; fhz;f.. vdf; fhl;l.,jd; kwjiyak; vd;w,uz;l NfhLfspd;. i I U jphthff; nfhz;l vdk; rkd;ghl;d; jphtfisf; fhz;f. 7. mjpgutisj;jpd; VNjDk; U Gs;sppypU;J mjd; njhiyj; njhlnfhlfspd; nrq;fj;jj; J}uq;fspd; nguf;fj; y njhif U khwpyp vd;wk; mjd; kjpg;g vdtk; fhl;lf.,,ilntsppy; log jpl;lkhf VWk; rhhg vd p&gpf;f. 8. i) 9. ii) kjpg;g fhz;f: lim dw w y z vd;w rhhgpy; cos t ; y sin t ; z t vdpy; fhz;f. dt. kjpg;gplf: cot. jphf;f: y y dy. p q p q q p vdf; fhl;lf..g+r;rpkw;w fyg;ngz;fspd; fzk;> fyg;ngz;fspd; tof;fkhd nguf;fypd; fpo; U vgpypd; Fyk; vdf; fhl;lf..u FspHr;rpilAk; nghuspd; ntg;gpiy mst T MdJ FiwAk; khw tpjk; T - S vd;w tpj;jphrj;jpw;f tpfpjkhf mik;js;sj.,q;f S vd;gj Rw;Wg;Gwj;jpd; piyhd ntg;g piyhfk;. Muk;gj;jpy; T C vdpy; t Nuj;jpy; FspHr;rpilAk; nghuspd; ntg;gpiyif; fhz;f..v;j,ilntspfspy; FopT milfpd;wd vd;gijak; kw;wk; tist khw;wg; Gs;spfisAk; fhz;f f (my;yj) U rkth;g;g khwppd; pfo;jft mlhj;jpr; rhhg f k, lswhr (i) k -,d; kjpg;igf; fhz;f. (ii) rkth;g;g khwppd; guty; rhhigf; fhz;f., gphpt, Fwpg;G: i) vitndk; gj;j tpdhf;fsf;fk; tpilspf;ftk; X = ii) tpdh vz;.7f;f fz;g;ghf tpilspf;ftk;.gpw tpdhf;fspu;j vitndk; d;gj tpdhf;fsf;f tpilspf;ftk; iii) t;nthu tpdhtpw;fk; gj;j kjpg;ngz;fs;..μ-,d; vk;kjpg;gpw;f + y + z =, + y + μz =, + y + z = vd;w njhfg;gpw;f (i)ntspg;gilj; jpht(ii)ntspg;gilw;w jpht fpilf;fk;.(ju Kiwpy;) vdpy; 7. U Kf;Nfhzj;jpd; Fj;Jf;NfhLfs; Nu Gs;sppy; r;jpf;fk; vd;gjid ntf;lh Kiwpy; pwtf. 8. A (,,) kw;wk; B (,, ) vd;w Gs;spfs; topnr; nry;yf;$jk;,izhdjkhd jsj;jpd; ntf;lh kw;wk; fhhbrpd; rkd;ghlfisf; fhz;f = y + = z vd;w Nfhl;w;F 9. = cos α + i sin α, = cos β + i sin βkw;wk; c = cos γ + i sin γ vdpy;

4 i c + c = cos α + β + γ ii + c c = cos α + β γ. U thy; tpz;kpd; MdJ #hpidr; Rw;wp gutisg; ghijpy; nry;fpwj. kw;wk; #hpd; gutisj;jpd; Ftpj;jpy; mikfpwj. Thy; tpz;kpd; #hpdpypu;j 8 kpy;ypd; fp.kp njhiytpy; mik;j,uf;fk; NghJ thy; π tpz;kpidak; #hpidak;,izf;fk; NfhL ghijpd; mr;rld; Nfhzj;jpid Vw;gLj;Jkhdhy; (i)thy; tpz;kpdpd; ghijpd; rkd;ghl;ilf; fhz;f.(ii)thy; tpz;kpd; #hpdf;f vt;tst mufpy; tukak; vd;gijak; fhz;f. (ghij tyjgwk; jpwg;giljhf nfhs;f). 9 y 8 y 99 = vd;w mjpgutisj;jpd; ikj; njhiyj;jft> ikk;> Ftpq;fs;> cr;rpfs; Mfptw;iwf; fhz;f. NkYk; mjd; tistiui tiuf.. U tpir,og;ghd; %yk; nryj;jg;glk; fuq;fy;> [y;ypfs; tpdhf;f f.m tpjk; NkypU;J fpno nfhl;lg;glk;nghj mit $k;g ttj;ijf; nfhlf;fpwj. v;nuj;jpyk; mf;$k;gpd; tpl;lkk;> cukk; rkkhfnt,uf;fkhdhy;> $k;gpd; cuk; mhf,uf;fk; NghJ cuk; vd;d tpj;jpy; chfpwj vd;gijf; fhz;f.. U %pl;l rju mg;ghfk; nfhz;ls;s (fdr; nrt;tfj;jpd;) ngl;pd; nfhs;sst f.nrkp> mg;ngl;pd; mg;ghfk; kw;wk; Nky; ghfj;jpw;fhd %yg; nghul;fspd; tpiy U r.nrkpf;f kw;wk; mjd; gf;fq;fsf;fhd %yg; nghul;fspd; tpiy U rju nr.kpf;f &... %yg; nghul;fspd; tpiy rpwk mst nfhs;skhw cs;s ngl;pd; Ps>mfyq;fs; fhz;f. u = tn + y y vdpy;vdpy; A+yhpd; Njw;wj;ijg; gd;glj;j u + y u y = sinuvd p&gpf;f. = t sin t, y = cos t vd;w tl;l cus; tispd; U tistpw;fk;>- mr;rpw;fk;,ilnas;s muq;fj;jpd; gug;igf; fhz;f.. jphf;f : + y + y + y dy = 7. y = sin vd;w tistiu =, = πkw;wk; -mr;r Mfptw;why; Vw;gLk; gug;gpid -mr;rpidg; nghwj;j Row;Wk; NghJ fpilf;fk; jplg;nghuspd; tisgug;g π + log + vd pwtf 8. -,d; kl;lf;f fhzg;ngw;w nguf;fypd;fpo;,,,, 9 vd;w fzk; U vgpypd; Fyj;ij mikf;fk; vdf; fhl;lf. 9. U rkth;g;g khwp X-,d; pfo;jft piwr;rhhg guty; gpd;tukhw cs;sj X P X = k k k 7k 9k k k k-,d; kjpg;g fhz;f. () P X <, P X, P < X,tw;wpd; kjpg;g fhz;f. () P X > Mf,Uf;f,d; kpr;rpw kjpg;g fhz;f. 7. U,w;jtH cliy kuj;jth ghpnrhjpf;fk; NghJ>,w;j Nuj;ij Njhuhkhf fzf;fpl Ntz;As;sJ.,w;jthpd; clypd; ntg;gpiy fhiy. kzpstpy; 9. Fvd Fwpj;Jf; nfhs;fpwhh. NkYk; kzp Nuk; fopj;j ntg;gpiy msit 9. F vdf; fhz;fpwhh. miwpd; ntg;gpiy mst (piyhdj)7 F vdpy;>,w;j Nuj;ijf; fzf;fplf. (U kdpj clypd; rhjhuz c\;z piy 98. Fvdf; nfhs;f). 9. log =., log.. =.9. (my;yj) U ghyj;jpd; tisthdj miu Ps;tl;lj;jpd; ttpy; cs;sj. fpilkl;lj;jpy; mjd; mfyk; mhftk; ikj;jpypu;j mjd; cuk; mhftk; cs;sj vdpy; ikj;jpypu;j tyj my;yj,lg;gwj;jpy; 9 m J}uj;jpy; cs;s jiug;gs;sppypu;j ghyj;jpd; cuk; vd;d?

5 Pdsli s Cntum Coching Tm ணவர கள ச ய வவண ட த என ன?. Click Hr & Entr Your Dtils (Studnts Only). நத டச ல யலதத த ல யமங கப ட ம ச ப ப ய த த ல ர ண ட எட த த ய ட ம ல ட க ல ம ழ லநன, ம லன ததர வ எழ த ய த த ள தன ர த த யமங க ன ஆச ர னர க க அன ப லயக க தயண ட ம.. A Siz (Or) Lgl Siz உள த ண க கயர கள இபண ட ய ங க க கக ள தயண ட ம. ஒர த ல ய த த ள தன ர த த ஆச ர னர ம கயர லன கற ர க த ன ல க ப ட ட அத ல தங கள ய லடத த ல லயக க தயண ட ம.. நற த ர கயர ல ந ணயர கள தங கள ச னம கயர லன கற ர என ம இடத த ல எழ த அதற க ததலயன அய ல ஸ ட ம ப கலமம ஒட ட ன க, அக கயலபமம ய லடத த ள எழ த அன ப ப ம கயர க க ள ததன லயத த அன ப தயண ட ம.. ஒன ற க க ம தநற ட ட ந ணயர கள இலணந த ய லடத த ல அன ப ல கந த தந க ஒதப கயர ல அன ப ம.. ஆச ர னர கள தங கள ய லடத த ல த ர த த ன க தங கள ச னய சந ட ட கயர ல (Rturn Covr) லயத த தங கள க க ய லபய ல த ர ப அன ப ப ய ர. 7. Slow Lrnrs ந த நட ட ம கயம கசல த த நல ந த த ன ந க ந த ந ணயர கள க க ம உதவ ம த க க ல, ந ணயர க ன ன கர த, இச தசலயன ல தங கல இலணத த க கக ண ட ள டச ல ஆச ர னர க ழ ய ல, ந ணயர கள ந க ந த ண வ டன கத டர ப கக ண ட த ர த தப ட ட ய லடத த ள க த த தங கள சந ததகங கலமம, ஆத சலகலமம அலதச ம ந க க ம. இவ வ ன த த ள க க ன வ ட கட எழ த அன ப ப வவண ட ம கவர - Mr. J. SATHI, VIDDTHI TUTION CENTRE-NIMMIYAMPATTU-VALLIPATTU, NO :, EACHANGAL VILLAGE & POST, VANIYAMBADI -TALUK, VELLORE- DT. PIN-8 CEL :997, 9 If ny dout, Pls contct our Pdsli s Cntum Coching Tm Co-ordintor: Mr. S. Rvi kumr, B.Sc., B.Ed., B.T.Asst., GHS, Arngldurgm, Vllor District.: CllNo: 9999 Usful Links:. All Othr Sujct Qustion Pprs Downlod - Click Hr. Cntum Coching Tm Instructions - Click Hr. Cntum Coching Tm Tchr's Rgistrtion Form - Click Hr. Cntum Coching Tm Studnt's Rgistrtion Form - Click Hr

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