RPP 3.2 Jumlah Dan Selisih Sinus Dan Cosinus

 

XNMEGMG [NFGDUGMGGM [NBHNFGAGXGM

Undifg`   1 UB UBG G Mncnrl 7 Snfnrl Bgtg Bg tg [nf [nfga gagr grgm gm

1 Bgtn Bgtnbg bgtl tldg dg [nb [nblm lmgt gtgm gm

Bgtn Bg tnrl rl [id [idid id

1 Xubu Xubuss Zrlc Zrlcimi imibn bntr trll Aubf Aubfg` g` jgm jgm Unf Unfls lsl` l` Ulm Ulmus us jgm Eislmus

Dnfgs/Unbnstnr

1

PL/Cgmalf

Zg`um [nfgagrgm 1 8;7 5.8 .> Bnmcljn Bnmcljnmtl mtlold oldgsl gsl rubus rubus pnrdgf pnrdgflgm lgm jgm pnmaub pnmaubfg` fg`gm gm hnmtud hnmtud trl trlcimi cimibnt bntrl rl [nrtnbugm L - L_ :.8. :.8.7 7 Bnmyn Bnmynfn fnsg sgld ldgm gm bgsgf bgsgfg` g` ygmc ygmc hnrdgl hnrdgltg tgm m jnmcgm jnmcgm rubus rubus trlc trlcim imib ibnt ntrl rl aubfg aubfg` ` jgm snflsl` jug sujut. [nrtnbugm _-LP :.8. :.8.8 8 Bnmyn Bnmynfn fnsg sgld ldgm gm bgsgf bgsgfg` g` ygmc ygmc hnrdgl hnrdgltg tgm m jnmcgm jnmcgm rubus rubus trlc trlcim imib ibnt ntrl rl aubfg aubfg` ` jgm snflsl` jug sujut. [nrtnbugm P-PL_ :. :.8. 8.5 5 Bnmy Bnmynf nfns nsgl gldg dgm m bgs gsgf gfg` g` ygmc ygmc hnr hnrdglt dgltgm gm jnmc jnmcgm gm ru rubu buss trlc lcim imib ibnt ntrrl su suju jutt rgmcdgp. :.8.: :.8 .: Bnmynfn Bnmynfnsgl sgldgm dgm bgsg bgsgfg` fg` ygmc ygmc hnrdg hnrdgltg ltgm m jnmcgm jnmcgm rubus rubus pnrd pnrdgfl gflgm gm jgm jgm pnma pnmaubf ubfg`gm g`gm  hnmtud trlcimibntrl.

N.

Bgtn tnrrl [nbhn hnffgagr agrgm

7. Xubus trlcimibnt trlcimibntrl rl aubfg` aubfg` jgm snflsl snflsl` ` jug sujut. sujut. 8. Xubus Xubus trlc trlcimib imibntr ntrll sujut sujut rgmcdgp rgmcdgp.. 5. Xubus pnrdgflgm pnrdgflgm jgm jgm pnmaubf pnmaubfg`gm g`gm hnmtud hnmtud trlcimibnt trlcimibntrl. rl. O.

[nmj [nmjnd ndgt gtgm gm,B ,Bij ijnf nf jgm jgm Bntij Bntijnn [nbhn [nbhnfg fgag agrg rgm m 7. [nmjndgtgm 8. Bi Bijn jnff [nbh [nbhnf nfga gagr grgm gm

1 Uelnmtlole fngrmlmc 1

Bijnf ijnf

diip diipnr nrgt gtlo lo

(eii eiipnr pnrgtl gtlvn vn

bnmccumgdgm tlpn Bijnf [HF  [HF ([rihfnb Hgsnj Fngrmlmc)B Fngrmlmc)Bntijn pnbhnfgagrgm 5. Bijnf [nmucgsgm, jldusl dnfibpid, tgmyg agwgh C.

Bnjl Bnjlg[ g[nb nbhn hnfg fgag agrg rgm m jgm jgm 7. Bnjl Bnjlg1 g1 



FnbhgrDnrag  [iwnr pilmt

8. Gfgt/H Gfgt/Hg` g`gm gm11

@.



Fgptip



FEJ



[nmccgrls

Uubhnr pn pnbhnfgag gagrgm

7. Hudu Bgtnbgtld Bgtnbgtldgg [nblmgtgm [nblmgtgm Dnfgs PL [ncgmcgm [ncgmcgm Curu

1

fngrml fngrmlmc  mc )

 

8. Fnbhgr Fnbhgr Dnra Dnragg Ulswg Ulswg 5. Lmtn Lmtnrm rmnt nt

L.

Fgmc Fgmcdg dg` ` Dnc Dnclg lgtg tgm/ m/Ud Udnm nmgr grli li [nbh [nbhnf nfga gagr grgm gm Lmjldgtir pnrtnbugm L ― L_ 1

5.8.7 Bnmnbudgm Bnmnbudgm dimsnp dimsnp rubus trlcimi trlcimibntr bntrll aubfg` aubfg` jgm snflsl` snflsl` jug sujut sujut 5.8.8 Bnbg`gbl Bnbg`gbl rubus trlcimibnt trlcimibntrl rl aubfg` aubfg` jgm snflsl` snflsl` jug sujut. sujut. Ulmtgd  Bijnf

Dnclgtgm [nbhnfgagrgm

[nbhnfgagrgm [nmjg`ufugm

Curu 1

Sgdtu

7; bnmlt

Irlnmtgsl 

Bnfgdudgm pnbhudggm jnmcgm sgfgb pnbhudg jgm hnrjig umtud bnbufgl pnbhnfgagrgm



Bnbnrldsg dn`gjlrgm pnsnrtg jljld snhgcgl sldgp jlslpflm



Bnmylgpdgm olsld jgm psldls pnsnrtg jljld jgfgb bnmcgwgfl dnclgtgm pnbhnfgagrgm.

Gpnrsnpsl Bnmcgltdgm Bnmcgl tdgm bgtnrl/ bgtnrl/tnbg/dnclgtgm tnbg/dnclgtgm   pnb pnbhnf hnfgag gagrgm rgm ygmc gdgm 

jlfg jlfgdu dudg dgm m

jn jnmc mcgm gm

pn pnmc mcgf gfgb gbgm gm

bgtnrl/tnbg/dnclgtgm bgtnrl/ tnbg/dnclgtgm   snhnfubmyg,

pn pnsn snrt rtgg

jl jljl jld d

ygltu

jn jnmc mcgm gm

1  pnrsgbggm

trlcimibntrl 

Bnmclmcgtdgm dnbhgfl bgtnrl prgsygrgt jnmcgm hnrtgmyg.



Bnmcga Bnm cgaudg udgm m pnrtgm pnrtgmygg yggm m ygmc ygmc gjg dntnrd dntnrdglt gltgmmy gmmygg jnmcgm jnmcgm  pnfgagrgm ygmc gdgm jlfgdudgm.

Bitlvgsl 

Bnbh Bn bhnr nrld ldgm gm

cg cgbh bhgr grgm gm

tn tnmt mtgm gmc c

bgmo bgmogg ggtt

bnbp bnbpnf nfga gagr grll

 pnfgagrgm ygmc gdgm jlpnfgagrl jgfgb dn`ljupgm sn`grl-`grl. 

Gpghlfg Gpghl fg bgtnrltnbg/ bgtnrltnbg/// priand lml dnragdgm dnragdgm jnmcgm hgld jgm sumccu` sum ccu`-su -sumcc mccu` u` lml jldugs jldugsgl gl jnmcgm jnmcgm hgld, hgld, bgd bgdgg pnsnrt pnsnrtgg jljl jljld d

jl`g jl`grrgp gpdg dgm m

jgpg jgpgtt

bn bnmn mnbu budg dgm m

dim dimsn snp p

rubus ubus

trlcimibntrl aubfg` jgm snflsl` jug sujut snrtg bnbg`gbl rubus trlcimibntrl aubfg` jgm snflsl` jug sujut. 

Bnmygbpgldgm Bnmygb pgldgm tuaugm pnbhnfgagrg pnbhnfgagrgm m pgjg pnrtnbugm pnrtnbugm ygmc  hnrfgmcsumc



Bnmcgaudgm pnrtgmyggm.

[nbhnrlgm Geugm 

Bnbhnrltg`u Bnbhnr ltg`udgm dgm bgtnrl bgtnrl pnfgagrgm pnfgagrgm ygmc gdgm jlhg`gs jlhg`gs pgjg  pnrtnbugm sggt ltu.



Bnbhnrltg`udgm tnmtgmc dibpntnmsl lmtl, dibpntnmsl jgsgr, lmjldgtir, jgm DDB pgjg pnrtnbugm pnrtnbugm ygmc hnrfgmcsumc

 



[nbhgclgm dnfibpid hnfgagr 



Bnmanf Bnm anfgsd gsdgm gm bndgml bndgmlsbn sbn pnfgds pnfgdsgmg gmggm gm pnmcgfg pnmcgfgbgm bgm hnfgag hnfgagr  r  snsugl jnmcgm fgmcdg`-fgmcdg` pnbhnfgagrgm.

Dnclgtgm Lmtl Utlbufgtlim

[nsnrtg [nsnr tg jljld jlhnrl bitlvgsl gtgu rgmcsgmcgm rgmcsgmcgm umtud bnbusgtdgm bnbusgtdgm

3;

(stlbuffgsl/

 pnr`gtlgm pgjg tipld bgtnrl trlcimibntrl aubfg` jgm snflsl` jug

bnmlt

 pnbhnrlgm

 sujut jnmcgm egrg 1

rgmcsgmcgm)



Bnfl`gt (tgmpg gtgu jnmcgm gfgt)

Bnmg Bn mgyg ygmc mcdg dgm m cg cgbh bhgr gr/o /oit iti i tn tnmt mtgm gmc c bgtn bgtnrl rl trlcimibntrl  aubfg` jgm snflsl` jug sujut  ‖Gpg ygmc dgflgm pldlrdgm tnmtgmc oiti/cgbhgr tnrsnhut9‒ 

Bnmcgbgtl  

fnbhgr dnrag bgtnrl trlcimibntrl aubfg` jgm snflsl` jug  sujut 



Bnbhgeg 

(jlfgdud udggm

jl

rubg ubg`

snhnfub

dnclgtgm

 pnbhnfgagrgm hnrfgmcsumc), 

Bnmjnmcgr

 pnbhnrlgm bgtnrl trlcimibntrl aubfg` jgm snflsl` jug sujut  jgfgb dn`ljupgm sn`grl-`grl ifn` curu 

Bnmylbgd ,

 pnmanfgsgm pnmcgmtgr dnclgtgm snegrg cgrls hnsgr/cfihgf tnmtgm tnm tgmc c bgtnrl bgtnrl pnfgag pnfgagrgm rgm

bnmcnm bnmcnmgl gl bgtnrl bgtnrl

trlcimibntrl

 aubfg` jgm snflsl` jug sujut jgfgb dn`ljupgm sn`grl-`grl, umtud bnfgtl` dnsumccu`gm, dntnfltlgm, bnmegrl lmoirbgsl. bnbhn nbhnrl rldg dgm m dns dnsnbpg nbpgttgm pgjg pgjg pnsn pnsnrrtg jl jljl jld d umt umtud 

[rihfnb

Curu uru

stgtnbnm

bnmclj bnm cljnmt nmtlol loldgsl dgsl snhgmyg snhgmygd d bumcdl bumcdlm m pnrtgm pnrtgmygg yggm m ygmc ygmc hnrdgl hnrdgltgm tgm

(pnrtgmyggm/

jnmcgm cgbhgr ygmc jlsgaldgm jgm gdgm jlagwgh bnfgful dnclgtgm

ljnmtloldgsl

 hnfgagr, eimti`myg 1

bgsgfg`)



Bnmcgaud Bnmc gaudgm gm pnrtgmy pnrtgmyggm ggm  tn tnmtgmc

bgtnrl bgt nrl trl trlcimi cimibnt bntrl rl

 aubfg` jgm snflsl` jug sujut jgfgb dn`ljupgm sn`grl-`grl ygmc tljgd jlpg`gbl jgrl gpg ygmc jlgbgtl gtgu pnrtgmyggm umtud umt ud bnmjgpg bnmjgpgtdg tdgm m lmoirb lmoirbgsl gsl tgbhg`g tgbhg`gm m tnmtgm tnmtgmc c gpg ygmc jlgb jlgbgt gtll

(jlb (jlbuf ufgl gl

jg jgrl rl

pn pnrt rtgm gmyg yggm gm

og ogdt dtug ugff

sg sgbp bpgl gl

dn

 pnrtgmyggm ygmc hnrslogt `lpitntld) umtud bnmcnbhgmcdgm drng drngtl tlvl vltg tgs, s, rg rgsg sg lmcl lmclm m

tg tg`u, `u, dnbgb dnbgbpu pugm gm bnru bnrubu busd sdgm gm

 pnrtgmyggm umtud bnbhnmtud pldlrgm drltls d rltls ygmc pnrfu umtud  Jgtg

`ljup enrjgs jgm hnfgagr snpgmagmc `gygt. [n [nsn snrt rtgg jljl jljld d bnmc bnmcub ubpu pufd fdgm gm lmoi lmoirb rbgs gsll yg ygmc mc rn rnfn fnvg vgm m

eiffnetlim

bnmagwgh pnrtgmygm ygmc tnfg` jlljnmtloldgsl j lljnmtloldgsl bnfgful dnclgtgm1

(pnmcubpufgm jgtg)



um umtu tud  d 

Bnmcgbgtl ihynd/dnagjlgm, bnmcgbgtl jnmcgm sndsgbg bgtnrl trlcimibntrl aubfg` jgm

 

 snflsl` jug sujut ygmc jlsgaldgm



Bnbhgeg subhnr fglm snfglm hudu tnds,

bnmegr bnm egrll jgm bnbhgeg bnbhgeg hnrhgcg hnrhgcgll rnonrn rnonrnmsl msl jgrl jgrl hnrhgcg hnrhgcgll  subhnr cumg bnmgbhg` pnmcntg`ugm jgm pnbg`gbgm Jgtg

tnmtgmc bgtnrl trlcimibntrl aubfg` jgm snflsl` jug sujut  [nsnrtg jljld jgfgb dnfibpidmyg hnrjlsdusl bnmcifg` jgtg `gslf

 priensslmc (pnmcifg`gm

 pnmcgbgtgm jnmcgm egrg 1  tnmtgmc gmc jgtg jgrl bgtnrl bgtnrl trlcimibntrl aubfg` jgm Hnrjlsdusl tnmt 

Jgtg)

 snflsl` jug sujut jgfgb dn`ljupgm sn`grl-`grl ygmc sujg` jldubpufdgm / tnrgmcdub jgfgb dnclgtgm snhnfubmyg. 

[nsnrtg [nsnr tg jljld bnmcnragdgm bnmcnragdgm hnhnrgpg hnhnrgpg sigf bnmcnmgl bgtnrl

_nrlolegtlim

trlcimibntrl aubfg` jgm snflsl` jug sujut  [nsnrtg jljld jld bnmjls jlsdusldgm `gslf pnmcgbgtgmmyg

(pnbhudtlgm)

bnbvnrloldgsl `gslf pnmcgbgtgmmyg jnmcgm jgtg-jgtg gtgu tnirl pgjg

jgm

 hudu subhnr bnfgful dnclgtgm 1 

Bnmg Bn mgbh bhg` g`

dnf dnfugsg ugsgm m

jgm jgm

dnjg dnjgffgbgm gbgm

sg sgb bpgl pgl

dnpg dnpgjg jg

 pnmcifg`gm lmoirbgsl ygmc hnrslogt bnmegrl sifusl jgrl  hnrhgcgl subhnr ygmc bnblfldl pnmjgpgt ygmc hnrhnjg sgbpgl sgb pgl dnpgjg dnpgjg ygmc hnrtnm hnrtnmtgm tgmcgm cgm umtud umtud bnmcnb bnmcnbhgm hgmcdgm cdgm sl sldg dgp p

auau auaur, r, tn tnfl fltl tl,,

jlsl jlslpf pflm lm,,

tg tggt gt gt gtur urgm gm,,

dn dnra ragg

dnrg dnrgs, s,

dnbgbpugm bnmnrgpdgm prisnjur jgm dnbgbpugm hnrpldlr  lmjudtlo lmjudt lo snrtg snrtg jnjudtlo jnjudtlo jgfgb bnbhudtldgm bnbhudtldgm tnmtgmc tnmtgmc bgtnr bgtnrll tr trlc lcim imib ibnt ntrl rl aubf aubfg` g` jg jgm m sn snfl flsl sl` ` ju jug g su suju jut, t, gmtg gmtgrg rg fglm jnmcgm  1 [n [nsn snrt rtgg jljl jljld d jg jgm m cu curu ru sn sneg egrg rg hn hnrs rsgb gbgg-sg sgbg bg

bnbhg`g bnb hg`gss agwghg agwghgm m sigf-s sigf-sigf igf ygmc tnf tnfg` g` jldnra jldnragdg gdgm m ifn` ifn` Cnmnrgflzgtli (bnmgrld

 pnsnrtg jljld. [nsnrtg jljld hnrjlsdusl umtud bnmylbpufdgm 

dnslbpufgm)

Bnmygbpgldgm Bnmygb pgldgm `gslf jlsdusl jlsdusl

tnmtgmc tnmtgmc bgtnrl bgtnrl   trlcimibntrl

 aubfg` jgm snflsl` jug sujut hnrupg sujut  hnrupg dnslbpufgm hnrjgsgrdgm `gslf gmgflsls gmgflsls snegrg snegrg flsgm, flsgm, tnrtufls, tnrtufls, gtgu bnjlg fglmmyg umtud  bnmcnbhgmcdgm bnmcnb hgmcdgm sldgp auaur, tnfltl, tnfltl, tifnrgmsl, tifnrgmsl, dnbgbpugm dnbgbpugm  hnrpldlr slstnbgtls, bnmcumcdgpdgm pnmjgpgt jnmcgm sipgm 

Bnbprnsnmtg Bnbpr nsnmtgsldgm sldgm `gslf jlsdusl jlsdusl dnfibpid dnfibpid snegrg snegrg dfgsldgf dfgsldgf tnmtgmc bgtnrl 1 trlcimibntrl 1 trlcimibntrl aubfg` jgm snflsl` jug sujut, bnmcnbudgdgm pnmjgpgt gtgs prnsnmtgsl ygmc jlfgdudgm



Hnrt Hn rtgm gmyg yg gt gtgs gs prns prnsnm nmtg tgsl sl jgm pnsnr pnsnrtg tg jl jljl jld d fg fglm lm jl jlhn hnrl rl dnsnbpgtgm umtud bnmagwghmyg.



Bnmylbpufdgm Bnmylb pufdgm

tnmtgmc tnmtgmc pilmt-pilmt pilmt-pilmt pnmtlmc pnmtlmc ygmc bumeuf bumeuf

jgfgb dnclgtgm pnbhnfgagrgm ygmc hgru jlfgdudgm hnrupg 1 Fgpirgm `gslf pnmcgbgtgm snegrg tnrtufls 

Bnma Bn magw gwgh gh pn pnrt rtgm gmyg yggm gm tn tnmt mtgm gmc c trl trlcim cimibnt ibntrl rl aubfg` aubfg` jgm

 

 snflsl` jug sujut  Hnrt Hn rtgm gmyg yg tn tnmt mtgmc gmc `gf yg ygmc mc hn hnfu fub b jl jlpg pg`g `gbl bl,, gt gtgu gu curu curu



bnfnbpgrdgm hnhnrgpg pnrtgmyggm pnrtgmyggm dnpgjg slswg [nsnrtg jljld 1

[nmutup

7;

Bnbhugt rnsubn jnmcgm hlbhlmcgm curu tnmtgmc pilmt-pilmt



 pnmtlmc

ygmc

bumeuf

jgfgb

dnclgtgm

bnmlt

pnbhnfgagrgm

tr trlc lcim imib ibnt ntrl rl aubf aubfg` g` jgm jgm sn snfl flsl sl` ` ju jug g sujut ujut yg ygmc mc hg hgru ru jlfgdudgm. Bnmcgcn Bnm cgcnmjg mjgdgm dgm pndnrag pndnraggm gm rubg` rubg` umtud umtud bgtnrl bgtnrl pnfgag pnfgagrgm rgm



trlcimibntrl aubfg` jgm snflsl` jug sujut  Curu 1 Bnbnrldsg pndnraggm slswg ygmc snfnsgl fgmcsumc jlpnrldsg



umtud bgtnrl pnrsgbggm trlcimibntrl [nsnrtg [nsnr tg jljld ygmc snfnsgl snfnsgl bnmcnragdgm bnmcnragdgm tucgs jnmcgm jnmcgm hnmgr 



jlhnrl pgrgo snrtg jlhnrl mibir urut pnrlmcdgt Lmjldgtir pnrtnbugm _ ― LP 1

5.8.5

Bnmcljnmtlo Bnmcljnmtloldgsl ldgsl hnmtud-hnmtud hnmtud-hnmtud rubus trlcimibntr trlcimibntrll aubfg` aubfg` jgm snflsl` snflsl` jug sujut. sujut.

Ulmtgd  Bijnf

Dnclgtgm [nbhnfgagrgm

[nbhnfgagrgm [nmjg`ufugm

Curu 1

Sgdtu

7; bnmlt

Irlnmtgsl 

Bnfgdudgm pnbhudggm jnmcgm sgfgb pnbhudg jgm hnrjig umtud bnbufgl pnbhnfgagrgm



Bnbnrldsg dn`gjlrgm pnsnrtg jljld snhgcgl sldgp jlslpflm



Bnmylgpdgm olsld jgm psldls pnsnrtg jljld jgfgb bnmcgwgfl dnclgtgm pnbhnfgagrgm.

Gpnrsnpsl 

Bnmcgltdgm Bnmcgl tdgm bgtnrl/ bgtnrl/tnbg/dnclgtgm tnbg/dnclgtgm   pnb pnbhnf hnfgag gagrgm rgm ygmc gdgm jlfg jlfgdu dudg dgm m

jn jnmc mcgm gm

pn pnmc mcgf gfgb gbgm gm

bgtnrl/tnbg/dnclgtgm bgtnrl/ tnbg/dnclgtgm   snhnfubmyg,

pn pnsn snrt rtgg ygltu

jl jljl jld d 1

jn jnmc mcgm gm

trlcimibntrl

 aubfg` jgm snflsl` jug sujut. 

Bnmclmcgtdgm dnbhgfl bgtnrl prgsygrgt jnmcgm hnrtgmyg.



Bnmcga Bnm cgaudg udgm m pnrtgm pnrtgmygg yggm m ygmc ygmc gjg dntnrd dntnrdglt gltgmmy gmmygg jnmcgm jnmcgm  pnfgagrgm ygmc gdgm jlfgdudgm.

Bitlvgsl 

Bnbh Bn bhnr nrld ldgm gm

cg cgbh bhgr grgm gm

tn tnmt mtgm gmc c

bgmo bgmogg ggtt

bnbp bnbpnf nfga gagr grll

 pnfgagrgm ygmc gdgm jlpnfgagrl jgfgb dn`ljupgm sn`grl-`grl. 

Gpghlfg bgtnrltnbg/ Gpghlfg bgtnrltnbg/// priand lml dnragdgm dnragdgm jnmcgm hgld jgm sumccu` sum ccu`-su -sumcc mccu` u` lml jldugs jldugsgl gl jnmcgm jnmcgm hgld, hgld, bgd bgdgg pnsnrt pnsnrtgg

 

jljld

jl`grgpd pdggm

jgp gpggt

bnmclj bnm cljnmt nmtlo loldg ldgsl sl hnmtudhnmtud-hnmt hnmtud  ud 

rubus trlcimibntrl aubfg` jgm snflsl` jug sujut. 

Bnmygbpgldgm Bnmygb pgldgm tuaugm pnbhnfgagrg pnbhnfgagrgm m pgjg pnrtnbugm pnrtnbugm ygmc  hnrfgmcsumc



Bnmcgaudgm pnrtgmyggm.

[nbhnrlgm Geugm 

Bnbhnrltg`u Bnbhnr ltg`udgm dgm bgtnrl bgtnrl pnfgagrgm pnfgagrgm ygmc gdgm jlhg`gs jlhg`gs pgjg  pnrtnbugm sggt ltu.



Bnbhnrltg`udgm tnmtgmc dibpntnmsl lmtl, dibpntnmsl jgsgr, lmjldgtir, jgm DDB pgjg pnrtnbugm pnrtnbugm ygmc hnrfgmcsumc



[nbhgclgm dnfibpid hnfgagr 



Bnmanf Bnm anfgsd gsdgm gm bndgml bndgmlsbn sbn pnfgds pnfgdsgmg gmggm gm pnmcgfg pnmcgfgbgm bgm hnfgag hnfgagr  r  snsugl jnmcgm fgmcdg`-fgmcdg` pnbhnfgagrgm.

Dnclgtgm Lmtl Utlbufgtlim

[nsnrtg [nsnr tg jljld jlhnrl bitlvgsl gtgu rgmcsgmcgm rgmcsgmcgm umtud bnbusgtdgm bnbusgtdgm

(stlbuffgsl/

 pnr`gtlgm pgjg tiple bgtnrl

 pnbhnrlgm

 aubfg` jgm snflsl` jug sujut jnmcgm egrg 1

rgmcsgmcgm)



hnmtud-hnmtu hnmtud -hnmtudd rubus trlcimibntr trlcimibntrll

Bnfl`gt (tgmpg gtgu jnmcgm gfgt)

Bnmg Bn mgygm ygmcd cdgm gm cgbhg cgbhgr/ r/oi oiti ti tn tnmt mtgm gmc c bgtn bgtnrl rl hnmtud-hnmtud  rubus trlcimibntrl aubfg` jgm snflsl` jug sujut  ‖Gpg ygmc dgflgm pldlrdgm tnmtgmc oiti/cgbhgr tnrsnhut9‒ 

Bnmcgbgtl  

fnbhgr dnrag bgtnrl hnmtud-hnmtud rubus trlcimibntrl  aubfg` jgm snflsl` jug sujut



Bnbhgeg 

(jlfgdud udggm

jl

rubg ubg`

snhnfub

dnclgtgm

 pnbhnfgagrgm hnrfgmcsumc), 

Bnmjnmcgr

 pnbhnrlgm bgtnrl hnmtud-hnmtud rubus trlcimibntrl aubfg` jgm snflsl` jug sujut jgfgb dn`ljupgm sn`grl-`grl ifn` curu 

Bnmylbgd ,

 pnmanfgsgm pnmcgmtgr dnclgtgm snegrg cgrls hnsgr/cfihgf tnmtgmc tnmtg mc bgtnrl bgtnrl pnfgagrgm pnfgagrgm

bnmcnmgl bnmcnmgl bgtnrl bgtnrl

hnmtud-hnmtud 

rubus rub us tr trlci lcimibn mibntrl trl aubfg` aubfg` jgm snflsl snflsl` ` jug sujut sujut jgfgb jgfgb dn`lj `ljupgm

sn`grl-`g `grrl,

umtu umtud d

dntnfltlgm, bnmegrl lmoirbgsl. bnbhn nbhnrl rldg dgm m dns dnsnbpg nbpgttgm pgjg pgjg

bnfg bnfgtl tl` `

dn dnsu sumc mccu cu`g `gm, m,

[rihfnb

Curu uru

stgtnbnm

bnmclj bnm cljnmt nmtlol loldgsl dgsl snhgmyg snhgmygd d bumcdl bumcdlm m pnrtgm pnrtgmygg yggm m ygmc ygmc hnrdgl hnrdgltgm tgm

(pnrtgmyggm/

jnmcgm cgbhgr ygmc jlsgaldgm jgm gdgm jlagwgh bnfgful dnclgtgm

ljnmtloldgsl

 hnfgagr, eimti`myg 1

bgsgfg`)



pnsn pnsnrrtg

jl jljl jld d

umt umtud 

tnmt mtgm gmc c bgtn bgtnrrl hnmtud-hnmtud  Bnmcgaudgm Bnmcgaud gm pnrtgmyggm pnrtgmyggm  tn rubus rub us tr trlci lcimibn mibntrl trl aubfg` aubfg` jgm snflsl snflsl` ` jug sujut sujut jgfgb jgfgb dn`ljup dn`l jupgm gm sn`grl sn`grl-`g -`grl rl ygm ygmc c tljgd tljgd jlpg`gb jlpg`gbll jgrl jgrl gpg ygmc

3; bnmlt

 

jlgb jlgbgt gtll gt gtgu gu pnrtg pnrtgmy mygg ggm m umtud umtud bnmj bnmjgpg gpgtd tdgm gm lm lmoi oirb rbgs gsll tgbhg`gm tnmtgmc gpg ygmc jlgbgtl (jlbufgl jgrl pnrtgmyggm ogdtugf sgbpgl dn pnrtgmyggm ygmc hnrslogt `lpitntld) umtud  bnmcnb bnm cnbhgm hgmcdgm cdgm drngtl drngtlvlt vltgs, gs, rgsg rgsg lmclm lmclm tg`u, tg`u, dnb dnbgbp gbpugm ugm bnrubu bnr ubusdg sdgm m pnrtgm pnrtgmyggm yggm umtud umtud bnbhnmt bnbhnmtud ud pldlr pldlrgm gm drltls drltls Jgtg

ygmc pnrfu umtud `ljup enrjgs jgm hnfgagr snpgmagmc `gygt. [n [nsn snrt rtgg jljl jljld d bnmc bnmcub ubpu pufd fdgm gm lmoi lmoirb rbgs gsll yg ygmc mc rn rnfn fnvg vgm m um umtu tud  d 

eiffnetlim (pnmcubpufgm

bnmagwgh pnrtgmygm ygmc tnfg` jlljnmtloldgsl j lljnmtloldgsl bnfgful dnclgtgm1 Bnmcgbgtl ihynd/dnagjlgm, 

jgtg)

bnmcgb bnm cgbgtl gtl jnmcgm jnmcgm sndsgb sndsgbg g bgtnrl bgtnrl hnmtud hnmtud-hn -hnmtu mtudd rubus rubus trlcimibntrl aubfg` jgm snflsl` jug sujut ygmc jlsgaldgm 

Bnbhgeg subhnr fglm snfglm hudu tnds,

bnmegr bnm egrll jgm bnbhgeg bnbhgeg hnrhgcg hnrhgcgll rnonrn rnonrnmsl msl jgrl jgrl hnrhgcg hnrhgcgll  subhnr cumg bnmgbhg` pnmcntg`ugm jgm pnbg`gbgm tnmtgmc bgtnrl hnmtud-hnmtud rubus trlcimibntrl aubfg` jgm Jgtg

 snflsl` jug sujut  [nsnrtg jljld jgfgb dnfibpidmyg hnrjlsdusl bnmcifg` jgtg `gslf

 priensslmc

 pnmcgbgtgm jnmcgm egrg 1

(pnmcifg`gm Jgtg)



Hnrjlsdusl  tnmt tnmtgmc gmc jgtg jgtg jgrl jgrl bgtnrl bgtnrl hnmtud hnmtud-hnmtu -hnmtudd rubus trlcimibntr trlci mibntrll aubfg` aubfg` jgm snflsl` jug sujut jgfgb dn`ljupgm

 sn`grl-`grl ygm ygmc c sujg` sujg` jldubp jldubpufd ufdgm gm / tnr tnrgmcd gmcdub ub jgfgb jgfgb dnclgtgm snhnfubmyg. 

[nsnrtg [nsnr tg jljld bnmcnragdgm bnmcnragdgm hnhnrgpg hnhnrgpg sigf bnmcnmgl bgtnrl hnmtud-hnmtu hnmtud -hnmtudd rubus trlcimibntrl trlcimibntrl aubfg` jgm snflsl` snflsl` jug

_nrlolegtlim

 sujut  [nsnrtg jljld jld

(pnbhudtlgm)

bnbvnrloldgsl `gslf pnmcgbgtgmmyg jnmcgm jgtg-jgtg gtgu tnirl pgjg

bnmjls jlsdusldgm

`gslf

pnmcgbgtgmmyg

jgm

 hudu subhnr bnfgful dnclgtgm 1 

Bnmg Bn mgbh bhg` g`

dnf dnfugsg ugsgm m

jgm jgm

dnjg dnjgffgbgm gbgm

sg sgb bpgl pgl

dnpg dnpgjg jg

 pnmcifg`gm lmoirbgsl ygmc hnrslogt bnmegrl sifusl jgrl  hnrhgcgl subhnr ygmc bnblfldl pnmjgpgt ygmc hnrhnjg sgbpgl sgb pgl dnpgjg dnpgjg ygmc hnrtnm hnrtnmtgm tgmcgm cgm umtud umtud bnmcnb bnmcnbhgm hgmcdgm cdgm sl sldg dgp p

auau auaur, r, tn tnfl fltl tl,,

jlsl jlslpf pflm lm,,

tg tggt gt gt gtur urgm gm,,

dn dnra ragg

dnrg dnrgs, s,

dnbgbpugm bnmnrgpdgm prisnjur jgm dnbgbpugm hnrpldlr  lmjudtlo lmjudt lo snrtg snrtg jnjudtlo jnjudtlo jgfgb bnbhudtldgm bnbhudtldgm tnmtgmc tnmtgmc bgtnr bgtnrll hnmtud-hnmtu hnmtud -hnmtudd rubus trlcimibntrl trlcimibntrl aubfg` jgm snflsl` snflsl` jug  sujut, gmtgrg fglm jnmcgm  1 [nsnrtg jljld jgm curu snegrg  hnrsgbg-sgbg bnbhg`gs agwghgm sigf-sigf ygmc tnfg` Cnmnrgflzgtli (bnmgrld dnslbpufgm)

jldnragdgm ifn` pnsnrtg jljld. [nsnrtg jljld hnrjlsdusl umtud bnmylbpufdgm 

Bnmygbpgldgm `gslf jlsdusl Bnmygbpgldgm jlsdusl tnmtgmc tnmtgmc bgtnrl bgtnrl hnmtud-hnmtud  rubus rub us trlcim trlcimibn ibntrl trl aubfg` aubfg` jgm snflsl snflsl` ` jug sujut  sujut   hnrupg

 

dnslbpufgm hnrjgsgrdgm `gslf gmgflsls snegrg flsgm, tnrtufls, gtgu bnjlg fglmmyg umtud bnmcnbhgmcdgm sldgp auaur, tnfltl, tifnrgmsl, tifnr gmsl, dnbgbpugm dnbgbpugm hnrpldlr hnrpldlr slstnbgtl slstnbgtls, s, bnmcumcdgpdgm bnmcumcdgpdgm  pnmjgpgt jnmcgm sipgm Bnbprnsnmtg Bnbpr nsnmtgsldgm sldgm `gslf jlsdusl jlsdusl dnfibpid dnfibpid snegrg snegrg dfgsldgf dfgsldgf



tnmtgmc bgtnrl 1  1  hnmtud-hnmtud rubus trlcimibntrl aubfg` jgm sn snfl flsl sl` ` jug su suju jut  t , bnmcnb bnmcnbudg udgdgm dgm

pnmjgpg pnmjgpgtt

gtgs gtgs

 prnsnmtgsl ygmc jlfgdudgm Hnrt Hn rtgm gmyg yg gt gtgs gs prns prnsnm nmtg tgsl sl jgm pnsnr pnsnrtg tg jl jljl jld d fg fglm lm jl jlhn hnrl rl



dnsnbpgtgm umtud bnmagwghmyg. Bnmylbpufdgm Bnmylb pufdgm



tnmtgmc tnmtgmc pilmt-pilmt pilmt-pilmt pnmtlmc pnmtlmc ygmc bumeuf bumeuf

jgfgb dnclgtgm pnbhnfgagrgm ygmc hgru jlfgdudgm hnrupg 1 Fgpirgm `gslf pnmcgbgtgm snegrg tnrtufls Bnmagwgh



pnrtgmyggm

tnmtgmc

hn hnmt mtud ud-h -hnmt nmtud ud

ru rubu buss

trlcimibntrl aubfg` jgm snflsl` jug sujut  Hnrt Hn rtgm gmyg yg tn tnmt mtgmc gmc `gf yg ygmc mc hn hnfu fub b jl jlpg pg`g `gbl bl,, gt gtgu gu curu curu



bnfnbpgrdgm hnhnrgpg pnrtgmyggm pnrtgmyggm dnpgjg slswg [nsnrtg jljld 1

[nmutup

Bnbhugt rnsubn jnmcgm hlbhlmcgm curu tnmtgmc pilmt-pilmt



7; bnmlt

 pnmtlmc ygmc bumeuf jgfgb dnclgtgm pnbhnfgagrgm hnmtudhnmtud rubus trlcimibntrl aubfg` jgm snflsl` jug sujut  ygmc  ygmc  hgru jlfgdudgm. Bnmcgcn Bnm cgcnmjg mjgdgm dgm pndnrag pndnraggm gm rubg` rubg` umtud umtud bgtnrl bgtnrl pnfgag pnfgagrgm rgm



hnmtud-hnmtu hnmtud -hnmtudd rubus trlcimibntrl trlcimibntrl aubfg` jgm snflsl` snflsl` jug  sujut  Curu 1 Bnbnrldsg pndnraggm slswg ygmc snfnsgl fgmcsumc jlpnrldsg



umtud umt ud bgtnrl bgtnrl hnmtud hnmtud-hnmtud -hnmtud rubus trlcimibnt trlcimibntrl rl aubfg` aubfg` jgm  snflsl` jug sujut  

[nsnrtg [nsnr tg jljld ygmc snfnsgl snfnsgl bnmcnragdgm bnmcnragdgm tucgs jnmcgm jnmcgm hnmgr  jlhnrl pgrgo snrtg jlhnrl mibir urut pnrlmcdgt

Lmjldgtir pnrtnbugm P ― PL_ 1

5.8.: 5.8.: 5.8.>

Bnmclj Bnmcljnmt nmtlo loldgs ldgsll rubus rubus trlcim trlcimibn ibntrl trl sujut sujut rgmcd rgmcdgp. gp. Bnmcljnmtlo Bnmcljnmtloldgsl ldgsl rubus pnrdgflgm pnrdgflgm jgm pnmaubf pnmaubfg`gm g`gm hnmtud trlcimibnt trlcimibntrl. rl.

Ulmtgd  Bijnf

Dnclgtgm [nbhnfgagrgm

[nbhnfgagrgm [nmjg`ufugm

Curu 1

7;

Irlnmtgsl 

Sgdtu

Bnfgdudgm pnbhudggm jnmcgm sgfgb pnbhudg jgm hnrjig umtud bnbufgl pnbhnfgagrgm

bnmlt

 



Bnbnrldsg dn`gjlrgm pnsnrtg jljld snhgcgl sldgp jlslpflm



Bnmylgpdgm olsld jgm psldls pnsnrtg jljld jgfgb bnmcgwgfl dnclgtgm pnbhnfgagrgm.

Gpnrsnpsl 

Bnmcgltdgm Bnmcgl tdgm bgtnrl/ bgtnrl/tnbg/dnclgtgm tnbg/dnclgtgm   pnb pnbhnf hnfgag gagrgm rgm ygmc gdgm jlfg jlfgdu dudg dgm m

jn jnmc mcgm gm

pn pnmc mcgf gfgb gbgm gm

pn pnsn snrt rtgg

jl jljl jld d

jn jnmc mcgm gm

bgtnrl/tnbg/dnclgtgm bgtnrl/ tnbg/dnclgtgm   snhn hnffubmyg, ygltu 1 hnmtud-hnmtud  rubus trlcimibntrl aubfg` jgm snflsl` jug sujut. 

Bnmclmcgtdgm dnbhgfl bgtnrl prgsygrgt jnmcgm hnrtgmyg.



Bnmcga Bnm cgaudg udgm m pnrtgm pnrtgmygg yggm m ygmc ygmc gjg dntnrd dntnrdglt gltgmmy gmmygg jnmcgm jnmcgm  pnfgagrgm ygmc gdgm jlfgdudgm.

Bitlvgsl 

Bnbh Bn bhnr nrld ldgm gm

cg cgbh bhgr grgm gm

tn tnmt mtgm gmc c

bgmo bgmogg ggtt

bnbp bnbpnf nfga gagr grll

 pnfgagrgm ygmc gdgm jlpnfgagrl jgfgb dn`ljupgm sn`grl-`grl. 

Gpghlfg Gpghl fg bgtnrltnbg/ bgtnrltnbg/// priand lml dnragdgm dnragdgm jnmcgm hgld jgm sumccu` sum ccu`-su -sumcc mccu` u` lml jldugs jldugsgl gl jnmcgm jnmcgm hgld, hgld, bgd bgdgg pnsnrt pnsnrtgg jljld jl`grgpdgm jgpgt bnmcljnmtloldgsl rubus trlcimibntrl  sujut

rgmcdgp,

pnrdgflgm

jgm

pnmaubfg`gm

hnmtud 

trlcimibntrl.   trlcimibntrl. 

Bnmygbpgldgm Bnmygb pgldgm tuaugm pnbhnfgagrg pnbhnfgagrgm m pgjg pnrtnbugm pnrtnbugm ygmc  hnrfgmcsumc



Bnmcgaudgm pnrtgmyggm.

[nbhnrlgm Geugm 

Bnbhnrltg`u Bnbhnr ltg`udgm dgm bgtnrl bgtnrl pnfgagrgm pnfgagrgm ygmc gdgm jlhg`gs jlhg`gs pgjg  pnrtnbugm sggt ltu.



Bnbhnrltg`udgm tnmtgmc dibpntnmsl lmtl, dibpntnmsl jgsgr, lmjldgtir, jgm DDB pgjg pnrtnbugm pnrtnbugm ygmc hnrfgmcsumc



[nbhgclgm dnfibpid hnfgagr 



Bnmanf Bnm anfgsd gsdgm gm bndgml bndgmlsbn sbn pnfgds pnfgdsgmg gmggm gm pnmcgfg pnmcgfgbgm bgm hnfgag hnfgagr  r  snsugl jnmcgm fgmcdg`-fgmcdg` pnbhnfgagrgm.

Dnclgtgm Lmtl Utlbufgtlim



[n [nsn snrt rtgg

jljl jljld d

jlhn jlhnrl rl bitl bitlvg vgsl sl gt gtgu gu rg rgmc mcsg sgmc mcgm gm umtu umtud  d 

(stlbuffgsl/

bnbusgtdgm pnr`gtlgm pgjg tipld bgtnrl trlcimibntrl sujut 

 pnbhnrlgm

rgmcdgp, rgmcdg p, pnrdgflgm pnrdgflgm jgm pnmaubfg`gm pnmaubfg`gm hnmtud trlcimibntrl. trlcimibntrl.

rgmcsgmcgm)

jnmcgm egrg 1 

Bnfl`gt (tgmpg gtgu jnmcgm gfgt)

Bnmgygmcdgm cgbhgr/oiti tnmtgmc bgtnrl trlcimibntrl sujut  rgmcdgp, pnrdgflgm jgm pnmaubfg`gm hnmtud trlcimibntrl. ‖Gpg ygmc dgflgm pldlrdgm tnmtgmc oiti/cgbhgr tnrsnhut9‒ 

Bnmcgbgtl fnbhgr dnrag bgtnrl trlcimibntrl sujut rgmcdgp, pnrdgflgm

3; bnmlt

 

jgm pnmaubfg`gm hnmtud trlcimibntrl. 

Bnbhgeg 

(jlfgdud udggm

jl

rubg ubg`

snhnfub

dnclgtgm

 pnbhnfgagrgm hnrfgmcsumc), 

Bnmjnmcgr

 pnbhnrlgm bgtnrl trlcimibntrl sujut rgmcdgp, pnrdgflgm jgm  pnmaubfg`gm hnmtud trlcimibntrl jgfgb dn`ljupgm sn`grl`grl ifn` curu 



Bnmylbgd ,

 pnmanfgsgm pnmcgmtgr dnclgtgm snegrg cgrls hnsgr/cfihgf tnmtgm tnm tgmc c bgtnrl bgtnrl pnfgag pnfgagrgm rgm  sujut

rgmcdgp,

bnmcnm bnmcnmgl gl bgtnrl bgtnrl

pnrdgflgm

jgm

trlcimibntrl

pnmaubfg`gm

hnmtud 

trl trlcimi cimibnt bntrl rl jgfgb jgfgb dn`lju dn`ljupgm pgm sn`grl sn`grl-`g -`grl, rl, umtud bnfgtl` bnfgtl` dnsumccu`gm, dntnfltlgm, bnmegrl lmoirbgsl. bnbhn nbhnrl rldg dgm m dns dnsnbpg nbpgttgm pgjg pgjg pnsn pnsnrrtg

[rihfnb

Curu uru

stgtnbnm

bnmclj bnm cljnmt nmtlol loldgsl dgsl snhgmyg snhgmygd d bumcdl bumcdlm m pnrtgm pnrtgmygg yggm m ygmc ygmc hnrdgl hnrdgltgm tgm

(pnrtgmyggm/

jnmcgm cgbhgr ygmc jlsgaldgm jgm gdgm jlagwgh bnfgful dnclgtgm

ljnmtloldgsl

 hnfgagr, eimti`myg 1

bgsgfg`)



jl jljl jld d

umt umtud 

Bnmcgaudgm pnrtgmyggm tnmtgmc bgtnrl trlcimibntrl sujut 

rgmcdgp, rgmcdg p, pnrdgflgm pnrdgflgm jgm pnmaubfg`gm pnmaubfg`gm hnmtud trlcimibntr trlcimibntrll jgfgb dn`ljupgm dn`ljupgm sn`grl-`gr sn`grl-`grll ygmc tljgd jlpg`gbl jgrl gpg ygmc jlgbgtl gtgu pnrtgmyggm umtud bnmjgpgtdgm lmoirbgsl tgbhg`gm tnmtgmc gpg ygmc jlgbgtl (jlbufgl jgrl pnrtgmyggm ogdtugf sgbpgl dn pnrtgmyggm ygmc hnrslogt `lpitntld) umtud  bnmcnb bnm cnbhgm hgmcdgm cdgm drngtl drngtlvlt vltgs, gs, rgsg rgsg lmclm lmclm tg`u, tg`u, dnb dnbgbp gbpugm ugm bnrubu bnr ubusdg sdgm m pnrtgm pnrtgmyggm yggm umtud umtud bnbhnmt bnbhnmtud ud pldlr pldlrgm gm drltls drltls Jgtg

ygmc pnrfu umtud `ljup enrjgs jgm hnfgagr snpgmagmc `gygt. [n [nsn snrt rtgg jljl jljld d bnmc bnmcub ubpu pufd fdgm gm lmoi lmoirb rbgs gsll yg ygmc mc rn rnfn fnvg vgm m um umtu tud  d 

eiffnetlim

bnmagwgh pnrtgmygm ygmc tnfg` jlljnmtloldgsl j lljnmtloldgsl bnfgful dnclgtgm1

(pnmcubpufgm



Bnmcgbgtl ihynd/dnagjlgm,

jgtg)



bnmcg bn mcgbg bgtl tl jn jnmcg mcgm m sn snds dsgb gbg g bgtn bgtnrl rl tr trlc lcimi imibn bntr trll su sujut  jut  rgmcdgp, rgmcdg p, pnrdgflgm pnrdgflgm jgm pnmaubfg`gm pnmaubfg`gm hnmtud trlcimibntr trlcimibntrll  ygmc jlsgaldgm



Bnbhgeg subhnr fglm snfglm hudu tnds,

bnmegr bnm egrll jgm bnbhgeg bnbhgeg hnrhgcg hnrhgcgll rnonrn rnonrnmsl msl jgrl jgrl hnrhgcg hnrhgcgll  subhnr cumg bnmgbhg` pnmcntg`ugm jgm pnbg`gbgm tnmtgmc bgtnrl trlcimibntrl sujut rgmcdgp, pnrdgflgm jgm Jgtg

 pnmaubfg`gm hnmtud trlcimibntrl. [nsnrtg jljld jgfgb dnfibpidmyg hnrjlsdusl bnmcifg` jgtg `gslf

 priensslmc

 pnmcgbgtgm jnmcgm egrg 1

(pnmcifg`gm Jgtg)



Hnrjlsdusl  tnm tnmtg tgmc mc jg jgtg tg

jg jgrl rl bgtn bgtnrl rl trlc trlcimibntr imibntrll sujut 

rgmcdgp, rgmcdg p, pnrdgflgm pnrdgflgm jgm pnmaubfg`gm pnmaubfg`gm hnmtud trlcimibntr trlcimibntrll jgfgb jgf gb dn dn`l `ljup jupgm gm sn sn`g `grl rl-`g -`grl rl ygm ygmc c sujg` sujg` jldubp jldubpufd ufdgm gm /

 

tnrgmcdub jgfgb dnclgtgm snhnfubmyg. 

[nsnrtg [nsnr tg jljld bnmcnragdgm bnmcnragdgm hnhnrgpg hnhnrgpg sigf bnmcnmgl bgtnrl trl trlcimi cimibnt bntrl rl sujut sujut rgmcdgp rgmcdgp,, pnrdgf pnrdgflgm lgm jgm pnmaubf pnmaubfg`g g`gm m

_nrlolegtlim

hnmtud trlcimibntrl. [nsnrtg jljld jld bnmjls jlsdusldgm

(pnbhudtlgm)

bnbvnrloldgsl `gslf pnmcgbgtgmmyg jnmcgm jgtg-jgtg gtgu tnirl pgjg

`gslf

pnmcgbgtgmmyg

jgm

 hudu subhnr bnfgful dnclgtgm 1 

Bnmgbh Bnmg bhg` g` dnf dnfugsg ugsgm m jgm jgm dnjg dnjgffgbgm gbgm sg sgb bpgl pgl dnpg dnpgjg jg  pnmcifg`gm lmoirbgsl ygmc hnrslogt bnmegrl sifusl jgrl  hnrhgcgl subhnr ygmc bnblfldl pnmjgpgt ygmc hnrhnjg sgbpgl sgb pgl dnpgjg dnpgjg ygmc hnrtnm hnrtnmtgm tgmcgm cgm umtud umtud bnmcnb bnmcnbhgm hgmcdgm cdgm sl sldg dgp p

auau auaur, r, tn tnfl fltl tl,,

jlsl jlslpf pflm lm,,

tg tggt gt gt gtur urgm gm,,

dn dnra ragg

dnrg dnrgs, s,

dnbgbpugm bnmnrgpdgm prisnjur jgm dnbgbpugm hnrpldlr  lmjudtlo lmjudt lo snrtg snrtg jnjudtlo jnjudtlo jgfgb bnbhudtldgm bnbhudtldgm tnmtgmc tnmtgmc bgtnr bgtnrll trl trlcimi cimibnt bntrl rl sujut sujut rgmcdgp rgmcdgp,, pnrdgf pnrdgflgm lgm jgm pnmaubf pnmaubfg`g g`gm m hnmtud trlcimibntrl, gmtgrg fglm jnmcgm 1 [nsnrtg jljld jgm curu snegrg hnrsgbg-sgbg bnbhg`gs agwghgm sigf-sigf ygmc tnfg` jldnragdgm ifn` pnsnrtg jljld. Cnmnrgflzgtli (bnmgrld

[nsnrtg jljld hnrjlsdusl umtud bnmylbpufdgm Bnmygb Bnm ygbpgl pgldgm dgm `gslf `gslf jlsd jlsdusl usl tnmtgm tnmtgmc c bgtnrl bgtnrl trlcimibntrl 

dnslbpufgm)

 sujut

rgmcdgp,

pnrdgflgm

jgm

pnmaubfg`gm

hnmtud 

trlcimibntrl. 

  hnrupg dnslbpufgm hnrjgsgrdgm `gslf gmgflsls snegrg flsgm, tnrtuf tnrtufls, ls, gtgu gtgu bnjlg bnjlg fglmmyg fglmmyg umtud umtud bnmcnb bnmcnbhgm hgmcdgm cdgm sl sldgp dgp  auaur, tnfltl, tifnrgmsl, dnbgbpugm

hnrpldlr slstnbgtls,

bnmcumcdgpdgm pnmjgpgt jnmcgm sipgm 

Bnbprnsnmtg Bnbpr nsnmtgsldgm sldgm `gslf jlsdusl jlsdusl dnfibpid dnfibpid snegrg snegrg dfgsldgf dfgsldgf tnmtgmc bgtnrl 1 trlcimibntrl 1 trlcimibntrl sujut rgmcdgp, pnrdgflgm jgm  pnmaubfg`gm hnmtud trlcimibntrl.



 Bnmcnbudgdgm pnmjgpgt gtgs prnsnmtgsl ygmc jlfgdudgm



Hnrt Hn rtgm gmyg yg gt gtgs gs prns prnsnm nmtg tgsl sl jgm pnsnr pnsnrtg tg jl jljl jld d fg fglm lm jl jlhn hnrl rl dnsnbpgtgm umtud bnmagwghmyg.



Bnmylbpufdgm Bnmylb pufdgm

tnmtgmc tnmtgmc pilmt-pilmt pilmt-pilmt pnmtlmc pnmtlmc ygmc bumeuf bumeuf

jgfgb dnclgtgm pnbhnfgagrgm ygmc hgru jlfgdudgm hnrupg 1 Fgpirgm `gslf pnmcgbgtgm snegrg tnrtufls 

Bnmagwgh Bnmagw gh pnrtgmyggm pnrtgmyggm tnmtgmc trlcimibntrl sujut rgmcdgp,  pnrdgflgm jgm pnmaubfg`gm hnmtud trlcimibntrl.



[nmutup

Hnrt Hn rtgm gmyg yg tn tnmt mtgmc gmc `gf yg ygmc mc hn hnfu fub b jl jlpg pg`g `gbl bl,, gt gtgu gu curu curu

bnfnbpgrdgm hnhnrgpg pnrtgmyggm pnrtgmyggm dnpgjg slswg [nsnrtg jljld 1 

Bnbhugt rnsubn jnmcgm hlbhlmcgm curu tnmtgmc pilmt-pilmt  pnmtlmc

ygmc

bumeuf

jgfgb

dnclgtgm

pnbhnfgagrgm

7; bnmlt

 

trl trlcimi cimibnt bntrl rl sujut sujut rgmcdgp rgmcdgp,, pnrdgf pnrdgflgm lgm jgm pnmaubf pnmaubfg`g g`gm m hnmtud trlcimibntrl. 

 ygmc hgru jlfgdudgm.



Bnmcgcn Bnm cgcnmjg mjgdgm dgm pndnrag pndnraggm gm rubg` rubg` umtud umtud bgtnrl bgtnrl pnfgag pnfgagrgm rgm trl trlcimi cimibnt bntrl rl sujut sujut rgmcdgp rgmcdgp,, pnrdgf pnrdgflgm lgm jgm pnmaubf pnmaubfg`g g`gm m hnmtud trlcimibntrl.

Curu 1 

Bnbnrldsg pndnraggm slswg ygmc snfnsgl fgmcsumc jlpnrldsg umtu umtud d bg bgtn tnrl rl trl trlcimi cimibnt bntrl rl sujut sujut rgmcdgp rgmcdgp,, pnrdgf pnrdgflgm lgm jgm  pnmaubfg`gm hnmtud trlcimibntrl.



[nsnrtg [nsnr tg jljld ygmc snfnsgl snfnsgl bnmcnragdgm bnmcnragdgm tucgs jnmcgm jnmcgm hnmgr  jlhnrl pgrgo snrtg jlhnrl mibir urut pnrlmcdgt

A.

[nml [nmlfgl fglgm, gm, [nbh [nbhnf nfgag gagrg rgm m Xnb Xnbnj njlgf lgf jgm jgm [nmc [nmcgyg gyggm gm

7. Zndmld Zndmld [nmlfg [nmlfglgm lgm11 [nmcgbgt [nmcgbgtgm, gm, Zns tnrtu tnrtufls fls 8. [risnj [risnjur ur [nm [nmlfg lfglgm lgm11 Znrf Znrfgbp gbplr  lr  5. [nbhnf [nbhnfgag gagrgm rgm Xnbnjl Xnbnjlgf gf jgm jgm [nmcgy [nmcgyggm ggm g. Xnbn Xnbnjl jlgf gf Xnbnjlgf jgpgt jlhnrldgm dnpgjg pnsnrtg jljld ygmc hnfub bnmegpgl DDB ygltu



6 3; bgupum dnpgjg pnsnrtg jljld ygmc sujg` bnfgbpul DDB. Xnbljlgf tnrjlrl gtgs jug hgclgm 1 rnbnjlgf dgrnmg hnfub bnmegpgl DDB jgm rnbnjlgf dgrnmg  hnfub bnmegpgl Dibpntnmsl Jgsgr  Curu Cur u bnbhnr bnbhnrll snbgmcg snbgmcgtt dnpgjg dnpgjg pnsnrt pnsnrtgg jljld jljld ygmc hnfub bnmegpg bnmegpgll DDB

 

(Drltnrlg Dntumtgsgm Blmlbgf). Curu gdgm bnbhnrldgm tucgs hgcl pnsnrtg jljld  ygmc hnfub bnmegpgl DDB (Drltnrlgm Dntumtgsgm Blmlbgf).  h. [nmcgyggm [nmcgyggm jlhnrldgm umtud bnmgbhg` wgwgsgm pnsnrtg jljld bnmcnmgl bgtnrl



 pnbhnfgagrgm ygmc jgpgt jlhnrldgm dnpgjg pnsnrtg jljld ygmc tnfg` tumtgs bnmegpgl DDB gtgu bnmegpgl Dibpntnmsl Jgsgr. [nmcgyggm [nmcgygg m jgpgt jltgcl`dgm jltgcl`dgm gtgu tljgd jltgcl`dgm, jltgcl`dgm, snsugl dnsnpgdgtgm jnmcgm



 pnsnrtg jljld. Jlrnmegmgdgm Jlrnme gmgdgm hnrjgsgrdgm hnrjgsgrdgm L[D gtgu bgtnrl pnbhnfgagrgm pnbhnfgagrgm ygmc bnbhutu`dgm bnbhutu`dgm



 pnmcnbhgmcgm fnhl` fugs.

[XIUNJ^X [NMLFGLGM

Mi

Gspnd ygmc jlmlfgl

7.

Uldgp Znrflhgt gdtlo jgfgb

g.

Zndmld  [nmlfglgm [n [nmcg mcgbg bgtg tgm m

Sgdtu [nmlfglgm

Un Unfg fgbg bg pn pnbh bhnf nfga gagr grgm gm jg jgm m sggt jlsdusl

 

Mi

Gspnd ygmc jlmlfgl

Zndmld  [nmlfglgm

Sgdtu [nmlfglgm

 pnbhnfgagrgm.  h. Hndnragsgbg jgfgb dnclgtgm dnfibpid. e. Zifnrgm tnr`gjgp prisns  pnbneg`gm bgsgfg` ygmc  hnrhnjg jgm drngtlo. 8.

5.

[nmcntg`ugm g. Bnmanfgsdgm Bnmanfgsdgm pnmcnrtlgm pnmcnrtlgm trlcimibntrl aubfg` jgm  snflsl` jug sujut  slmus  slmus jgm eislmus snegrg tnpgt, slstnbgtls, jgm bnmccumgdgm slbhif ygmc hnmgr.  h. Bnmanfgsdgm slogt-slogt trlcimibntrl aubfg` jgm  snflsl` jug sujut  slmus  slmus jgm eislmus snegrg tnpgt, slstnbgtls, jgm bnmccumgdgm slbhif ygmc hnmgr. Dntnrgbplfgm g. Znrgbplf bnmnrgpdgm dimsnp/prlmslp dimsnp/prl mslp jgm strgtncl strgtncl  pnbneg`gm bgsgfg` ygmc rnf nfnv nvgm gm ygmc ygmc hnrd hnrdgl gltg tgm m jnmcgm trlcimibntrl aubfg` jgm snflsl` jug sujut slmus jgm eislmns.

[nmcgbgtgm jgm tns

[nmynfnsglgm tucgs lmjlvlju jgm dnfibpid 

[n [nmcg mcgbg bgtg tgm m

[n [nmyn mynfn fnsg sglg lgm m tucg tucgss (hg (hgld ld lmjlvlju bgupum dnfibpid) jgm sggt jlsdusl

 

DLUL ― DLUL UIGF

Bgtg [nfgagrgm Dnfgs/snbnstnr Dibpnt Dib pntnms nmsll Jgsgr Jgsgr

LMJLDGZIX 7. Bnmynf Bnmynfnsgl nsgldgm dgm  pnrsgbggm trlcimibntrl  hnmtud

1 Bgtnbgtldg [nblmgtgm 1 PL BL[G/8 1 5.8 5.8 Bnbhnj Bnbhnjgdg gdgm m pnmccu pnmccumgg mggm m aubfg` aubfg` jgm jgm snflsl snflsl` ` slmus slmus jgm jgm eislmu eislmus. s. ^XGLGM ABF UIGF E7 E8 E5 E: E> E? BU U BU U BU U BU U BU U BU U J J D  J J D  J J D  J J D  J J D  J J D 

BGZNXL  pnrsgbggm trlcimibntrl  hnmtud

7

7

,

, 8. Bnmy Bnmynfn nfnsg sgld ldgm gm  pnrsgbggm trlcimibntrl  hnmtud 

 pnrsgbggm trlcimibntrl  hnmtud,

8

7

,

, 5. Bnmy Bnmynfn nfnsg sgld ldgm gm  pnrsgbggm trlcimibntrl  hnmtud 

 pnrsgbggm trlcimibntrl  hnmtud

:. Bnmy Bnmynfn nfnsg sgld ldgm gm  pnrsgbggm trlcimibntrl  hnmtud 

 pnrsgbggm trlcimibntrl  hnmtud 

>. Bnmy Bnmynfn nfnsg sgld ldgm gm  pnrsgbggm trlcimibntrl  hnmtud 

 pnrsgbggm trlcimibntrl  hnmtud 

?. Bnmy Bnmynfn nfnsg sgld ldgm gm  pnrsgbggm trlcimibntrl  hnmtud 

 pnrsgbggm trlcimibntrl  hnmtud 

3. Bnmy Bnmynfn nfnsg sgld ldgm gm  pnrsgbggm trlcimibntrl  hnmtud 

[nrsgbg gm trlcimib ntrl  hnmtud

0. Bnmynfnsgldgm

[nrsgbg

 pnrsgbggm trlcimibntrl  hnmtud 

gm trlcimib ntrl  hnmtud

 

5

7

:

7

>

7

?

7

3

7

0

7

Aubfg` Uigf

7 7

7 8

7 8

0

 

FNBHGX [NMLFGLGM [NMCNZG@^GM

Bgtg [nfgagrgm Dnfgs/snbnstnr Zg`um [nfgagrgm Dibpntnmsl Jgsgr

1 Bgtnbgtldg [nblmgtgm 1 PL/7 1 8;70/8;7< 1 5.7 Bnmanfgsdgm jgm bnmnmtudgm pnmynfnsglgm  pnrsgbggm trlcimibntrl.

Dnragdgm sigf-sigf sigf-sigf jl hgwg` lml !

7. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl pnrsgbggm pnrsgbggm

!

8. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl pnrsgbggm pnrsgbggm

!

5. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl pnrsgbggm pnrsgbggm

!

:. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl pnrsgbggm pnrsgbggm

!

>. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl pnrsgbggm pnrsgbggm

!

?. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl pnrsgbggm pnrsgbggm

!

3. Znmtudgm Znmtudgm `lbpumgm `lbpumgm pnmynfnsglgm pnmynfnsglgm jgrl jgrl slm8 x +  x + slm x slm x ∘  ∘ 8 2 ; jnmcgm ;» ≪ x ≪  x ≪  ≪ 5?;» ! 0. Jldntg Jldntg`ul `ul pnrrsg pnrrsgbgg bggm m eis8 x +  x + eis x eis x  +

2 ; jgm

. Znmtudgm mlfgl jgrl slm x slm x!!

 

D^MEL AGSGHGM

MI

[NBHG@GUGM

7.

Anfgs [nmynfnsglgm1 

 bgdg bgdg 

(ZB)

UDIX MLFGL 7;

 

 bgdg bgdg

(ZB)

Agjl @[

8. 8

.

7;

Anfgs [nmynfnsglgm1 

 bgdg bgdg

(ZB)



 bgdg

(ZB)

 bgdg Agjl @[

5.

.

7;

Anfgs [nmynfnsglgm1

 

 bgdg bgdg bgdg

(ZB)

Agjl @[

.

:.

7;

Anfgs Anfgs [nmynfnsglgm1 

 bgdg

bgdg

(ZB)



 bgdg bgdg Agjl @[

>.

(ZB) .

7;

Anfgs [nmynfnsglgm1 

 bgdg bgdg

(ZB)



 bgdg

(ZB)

 bgdg Agjl@[

.

 

?.

7; Anfgs [nmynfnsglgm1

bgdg bgdg bgdg bgdg Agjl @[

3.

.

slm8 x +  x + slm x slm x ∘  ∘ 8 2 ; blsgf slm x slm x

7;

jlpnrifn` 1

(ZB) gtgu Un`lmccg

slm x

Agjl pnmynfnsglgmmyg gjgfg` 0.

8

eis  x +  x + eis x   x +

blsgfeis x

. 7;

2 ; jgm

jlpnrifn` 1

Un`lmccg

eis x

 

Agjlslm x Agjlslm  x

. A^BFG@ UDIX BGDULBGF

0;

DXLZNXLG [NMLFGLGM

7. Drlt Drltnr nrlg lg [nm [nmlf lfgl glgm gm g. Uigf urglgm 1 - Agwg Agwghg hgm m fnm fnmcd cdgp gp jgm jgm hnm hnmgr gr sdi sdirr 7; 7; - Agwgh Agwghgm gm fnm fnmcd cdgp gp jgm jgm snh snhgc gclg lgm m hnmg hnmgrr sdir sdir 3.> 3.> - Agwgh Agwghgm gm eu eudu dup p ffnm nmcd cdgp gp jg jgm m hnm hnmgr gr sdir sdir > - Agwghgm Agwghgm eudup eudup fnmcdg fnmcdgp p jgm jgm snhgclg snhgclgm m hnmg hnmgrr sdir sdir 8.> 8. Udir Udir [n [nml mlfg fglg lgm m Anmls Uigf UdirMlfgl Zlgp Agwghgm 7. ^rglgm ….. Aubfg` Udir Bgdslbgf

Udir Bgdslbgf ……

5. Mlfg Mlfgll Gd Gd`lr `lr 2

FNBHGX [NMLFGLGM [NMCNZG@^GM Mi

7 8 5 : > ? 3 0 <

Mgbg Ulswg

7

Hutlr sigf 8 5

:

>

Mlfgl Udir

Mlfgl Dimvnrsl

[rnjldgt