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8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 1/10
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 2/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm >
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s > wh 0 `nke fhso n
jshpy zlwe {loldns yshy`sw| `uk`yw hm`- Flmg
we` hgg hm`-
>- %N, [pmgn| %C, [nwpsgn|
%K, Fslgn| %G, Anmpns|
3- %N, [pm %C, Ons{
%K, @nswe %G, V`mp{
;- %N, M`ynd %C, Ynbl{wnm
%K, N{ln %G, [sldnmbn
7- %N, W oyd` %C, Yndnk`
%K, Oh{~p` %G, Jpspgznsn
0- %N, [ehz ‛ shho %C, Fdnw
%K, Ehp{` %G, Epw
Gls`kwlhm 1 Lm ~p`{wlhm{ 6 wh >9$ n {`sl`{ hf n ynww`sm l{jlv`m- We`s` l{ n {ljm hf lmw`sshjnwlhm %8, nw we`vnknmw ydnk`- We` ol{{lmj ydnk` l{ wh c` fldd`gc| hm` hf we` khss`kw ndw`smnwlv`{ hpw hf we` fhpsjlv`m- [`d`kw nmg zslw` we` khss`kw ndw`smnwlv`hm we` nm{z`s {e``w-
6- 7$ >3$ 6$ 8$ <$ 3:
%N, >3 %C, >0
%K, >5 %G, 3>
:- 67$ 06$ 7<$ 7;$ 8$ ;7
%N, ;0 %C, ;6
%K, ;: %G, ;5
5- 3$ 0$ 7$ >9$ 6$ >0$ 5$ 8
%N, >9 %C, 39
%K, 30 %G, >3
<- :$ >;$ 3>$ 8$ 7;$ 0:
%N, 3: %C, 3<
%K, ;> %G, ;0
>9- >$ 0$ >9$ >6$ 8$ ;>$ 79
%N, ;5 %C, 3;
%K, ;< %G, 7>
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s{ >> wh >0 flmg hpw we`
zhsg zelke l{ m`ns`{w lm o`nmlmj wh we` jlv`m
zhsg-
>>- [ynsshz
%N, Dlv` lm znw`s %C, Fd| lm {b|
%K, [zlo lm slv`s %G, Spm hm jshpmg
>3- Hk`nm
%N, [`n %C, Dnb`
%K, Wnmb %G, Slv`s
fpm{Q*b % lq*p Õ`bng > d{ 0 sg g{ lqS2{g {n $g d zj j[_ fwd`{ n
$g gb{ Mb{O"ga *b{#b g{ u~-b d`bp j[n_ fEbPp u~-b hb|b{n
gb{ v|u ga{nN
>- %N, afhhba %C, *bfphba
%K, *b~Õhba %G,wphae3- %N, dz 2Q %C, `nu|
%K,liFhe %G, *b~Õ
;- %N, p{lb| %C, lbfgDsbp
%K, $f*b2b %G,Ae|ngb
7- %N, `fPma %C, `j|
%K, `fDwm %G, u~+}bab
0- %N, *bb{&1` %C, ¶|{V
%K, `gbp %G,=b{lO" e
fpm{Q*b & lq*p Õ`bng 6 d{ >9 `{n lqS2{g {n $g A{-be me ucQ j[ nN
lq*p g{ faGs DFbbp la lq*p hbyg fyPj %8, kpb j[N
fm$ u$ yba fhg\lb{ n `{ n d{ dje fhg\l gb{ oÜba l?bg
`{n vnfgs ga{nN
6- 7$ >3$ 6$ 8$ <$ 3:
%N, >3 %C, >0
%K, >5 %G, 3>
:- 67$ 06$ 7<$ 7;$ 8$ ;7
%N, ;0 %C, ;6
%K, ;: %G, ;5
5- 3$ 0$ 7$ >9$ 6$ >0$ 5$ 8
%N, >9 %C, 39
%K, 30 %G, >3
<- :$ >;$ 3>$ 8$ 7;$ 0:
%N, 3: %C, 3<
%K, ;> %G, ;0
>9- >$ 0$ >9$ >6$ 8$ ;>$ 79
%N, ;5 %C, 3;
%K, ;< %G, 7>
fpm{Q*b % lq*p Õ`bng >> d{ >0 sg g{ f|$ ${d{ *bKm y~pb{n
fwdgb fm2{ u2{ *bKm d{ fpgVs` vFbQ 2b dnkn(b jb{N
>>- fyfO"2b
%N, lbpe {n ajpb %C, vbg*b {n oO"pb
%K, pme {n s[apb %G, w`ep la mb[O"pb
>3- dbua
%N, d`~mq %C, =e|
%K, sb|bk %G, pme
ONGE\N YSNG@[E MW[@/[WNJ@/L %\@NS13995, ONW
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 3/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm 3
>;- Ydnm`w
%N, Ohhm %C, Jndnu|
%K, @nswe %G, [wns
>7- Mnsshz
%N, [ondd %C, Welm
%K, Clj %G, Jlnmw
>0- Zlmg%N, Hu|j`m %C, Jn{
%K, Nls %G, [whso
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s{ >6 wh 39 lm nke d`ww`s{`sl`{$ {ho` d`ww`s{ ns` ol{{lmj- Lm hm` hf we`nm{z`s kehlk`{$ we` ol{{lmj d`ww`s l{ jlv`m lmwe`ls yshy`s {`~p`mk`- Ylkb we` nm{z`s-
>6- ncc X ncc X nc X n-
%N, nnc %C, cnc
%K, ncc %G, ccn
>:- cnc X ncn X X n X X cnn-
%N, nncnn %C, ncncn%K, nnnnc %G, nnnnn
>5- | X u X X qu X | X u|-%N, q|||q %C, u||u|%K, qu|q| %G, q||q|
><- nc X X ncc X nc X n-%N, ncnc %C, nccn%K, nncc %G, cnnc
39- n X knc X n X k X ck-%N, ckcn %C, cncn%K, kckn %G, nnkc
Gls`kwlhm 1 Lm ~p`{wlhm 3> wh 30 we`s` n fhps w`so{ lm`nke ~p`{wlhm- We` w`so lm we` d`fw wh we` {|ochd11 en{ we` {no` s`dnwlhm{ely n{ we` wzh w`so{wh we` sljew hf we` {|ochd 11- Hpw hf fhps w`so{hm` l{ ol{{lmj$ zelke hm` hf we` fhps ndw`smnwlv`{jlv`m c`dhmj- [`d`kw nmg zslw` we` khss`kw hm lmwe` s`{yhm{` {e``w-
3>- G 1 @ 11 7 1 8
%N, 0 %C, 7
%K, ; %G, 3
33- Gn| 1 Mljew 11 [pm 1 8
%N, [b| %C, Dljew%K, [wns{ %G, Ohhm
3;- W`nke`s 1 [wpg`mw 11 Ghkwhs 1 8
%N, Eh{ylwnd %C, Ynwl`mw
%K, Mps{` %G, H-Y-G-
37- C`` 1 Ehm`| 1 1 Khz 1 8
%N, Nmlond %C, Jsn{{
%K, Kndf %G, Oldb
30- Eponm 1 Zndblmj 11 Fl{e 1 8
%N, [zloolmj %C, Spmmlmj
%K, Znw`s %G, Dlvlmj
>;- uqj%N, yPmq b %C, vbgb*b unub%K,liFhe %G,sbab
>7- dnge-bQ%N,Mb{Vb %C, ls|b%K,kO"b %G, fh*bb|
>0- hb2~%N,vbZGdewp %C, u[d%K, lhp %G,vb®(be
fpm{Q*b % lq*p Õ`bng >6d{ 39 `{n lqS2{g vrba A{-be {n g~M vrba
MzV u2{ j[n_ wb{ fg fm2{ u2{ oÜba d{ fpf*ys Õ` `{n
H2hfDFbs jb{ wbs{ j[_ oÜba y~fp2{N
>6- ncc X ncc X nc X n-
%N, nnc %C, cnc
%K, ncc %G, ccn
>:- cnc X ncn X X n X X cnn-
%N, nncnn %C, ncncn%K, nnnnc %G, nnnnn
>5- | X u X X qu X | X u|-
%N, q|||q %C, u||u|
%K, qu|q| %G, q||q|
><- nc X X ncc X nc X n-%N, ncnc %C, nccn%K, nncc %G, cnnc
39- n X knc X n X k X ck-%N, ckcn %C, cncn%K, kckn %G, nnkc
fpm{Q*b % lq*p Õ`bng 3> d{ 30 sg lqS2{g lq*p `{n 7 lm j[n 11
fyPj g{ kb2en vb{a g{ lmb{n g{ d@kP(bbp~dba 11 g{ mb2en
vb{a g{ mb{ la j[ nN yba lmb{ n {n d{ $g lm vBbs j[_ wb{
fm$ u2{ yba fhg\lb{ n `{ n d{ $g j[ nN dje fhg\l y~pga
oÜba l?bg {n vnfgs gefw$N
3>- G 1 @ 11 7 1 8
%N, 0 %C, 7
%K, ; %G, 3
33- fmp 1 abs 11 dz2Q 1 8
%N,vbgb*b %C, lqgb*b%K, sba{ %G, yPmq b
3;- f*brbg 1 Mb?b 11 ObZGVa 1 8
%N, vDlsb| %C, ab{ue%K, pdQ %G, vb{/ le/ Oe/
37- `(b~`GRbe 1 *bjm 11 ub2 1 8
%N, l*b~ %C, 8bbd
%K,kMO"b %G, mz (b
30- vbm`e 1 y|pb 11 `M|e 1 8
%N, s[apb %C, mb[O"pb
%K, lbpe %G, ajpb
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 4/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm ;
Gls`kwlhm 1 ^p`{wlhm mpoc`s{ 36 wh ;9 ns` cn{`g hm
we` khg` dnmjpnj`- We` fls{w zhsg l{ khg`g zlwe
{ho` g`flmlw` spd`- We` {`khmg zhsg l{ wh c`
khg`g zlwe {no` spd`- Flmg hpw we` khss`kw khg`
fsho we` ndw`smnwlv`-
36- ODMH l{ khg`g n{ BADO$ we`m [HLD l{ khg`g
n{ ‛
%N, OJA %C, MJA%K, OOA %G, OJB
3:- Lf [EHW l{ WASU$ we`m JNW@ l{
%N, EKZL %C, EKUL
%K, NWJ@ %G, NKUL
35- Lf K@L^ l{ zslww`m lm khg` n{ UVSA$ we`m ehz
CGEY zldd c` zslww`m lm we` {no` khg` 8
%N, B[\Z %C, [B\Z
%K, \Z[B %G, \Z[^
3<- Lf CNG l{ zslww`m n{ \QZ$ we`m DHV@ zldd c`
zslww`m n{ ‛
%N, ZUOM %C, OS[P
%K, CSWY %G, HD@V
;9- Lf YNW l{ zslww`m lm khg` n{ BQJ$ we`m ehz S@G
zldd c` zslww`m lm we` {no` khg` 8
%N, SVZ %C, A@Z
%K, LVZ %G, AVG
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s{ ;> wh ;0$ flmg hpw we`
hgg hm` lm nke jshpy-
;>- %N, W nke`s %C, Yshf`{{hs
%K, [wpg`mw %G, E`ngon{w`s
;3- %N, Ylmb %C, [knsd`w
%K, Kslo{hm %G, Vlhd`w ‛s`g
;;- %N, Khlm{ %C, Mhw`{
%K, @ukenmj` %G, Kpss`mk|
;7- %N, C`nm{ %C, Hmlhm{
%K, Jsnv| %G, Y`n{
;0- %N, Opocnl %C, Bhdbnwwn
%K, Cehynd %G, Jzndlhs
Gls`kwlhm 1 Nm{z`s we` ~p`{wlhm mpoc`s ;6 wh 79 n{
gls`kwlhm lm we` ~p`{wlhm-
;6- We {po hf ndd we mpoc`s{ fsho ; wh >; lmkdp{lv l{
%N, :5 %C, 55
%K, 65 %G, 05
;:- Zelke mpoc`s{ gh mhw c`dhmj wh we` {`sl`{ 8
:$ >7$ 3>$ 35$ ;6$ 73$ 7<-
%N, 3> %C, 35
%K, ;6 %G, 73
fpm{ Q*b 1 lq*p Õ`bng 36d{ ;9 gb{O Ebb#bb la vb(bbfas j[N lj|{
*bKm gb{ $g fpf*ys fp2` g{ }bab gb{O Ebb#bb { n f|Rbb
u2b j[N mz da{ *bKm gb{ cde fp2` }bab f|Rbb wbpb j[_
fhg\lb{n {n_ d{ dje gb{O Bbs gefw$N
36- 2fm ODMH gb vFbQ BADO jb{ sb{ [HLD jb{ub &
%N, OJA %C, MJA%K, OOA %G, OJB
3:- 2fm [EHWgb vFbQ WASU jb{_ sb{ JNW@ jb{ub &%N, EKZL %C, EKUL
%K, NWJ@ %G, NKUL
35- 2fm K@L^gb{ dbng{fsg Ebb#bb { n UVSA f|Rbb wbsb j[_
sb{ CGEY gb{ ode gb{O {n f|Rbb wb2{ub &%N, B[\Z %C, [B\Z
%K, \Z[B %G, \Z[^
3<- 2fm CNGgb{ \QZ f|Rbb wb2{_ sb{ DHV@ gb{ f|Rbb
wb dg{ub &%N, ZUOM %C, OS[P
%K, CSWY %G, HD@V
;9- 2fm YNLgb{ dbng{fsg Ebb#bb { n BQJ f|Rbb wbsb j[_ sb{
S@G gb{ ode gb{O {n f|Rbb wb2{ub &%N, SVZ %C, A@Z
%K, LVZ %G, AVG
fpm{ Q*b 1 lq*p Õ bng ;>d{ ;0$lqS2{g { n d z j d{ v|u gb{ y~fp2{ &
;>- %N, f*brbg %C, lqb(2blg%K, fhtbFbeQ %G, lq(bbpb(2blg
;3- %N, u~|bke %C, d~RbQ|b|%K, |bf|`b %G, k[ nupe&|b|
;;- %N, fdGgb %C, pb{V%K, fhfp`2 %G, `~mqb
;7- %N, d{` %C, L2bw%K, *bb{akb adb¿ %G, `Va
;0- %N, `~@kcQ %C,gb{|gbsb%K, Ebb{lb| %G, Uhbf|2a
fpm{ Q*b % lq*p Õ`bng ;6d{ 79 g{ oÜba lz M{ vp~dba dje fhg\l
y~pga m{nN
;6- ; d{ >; sg g{ vngb{ gb 2b{u jb{ub &%N, :5 %C, 55
%K, 65 %G, 05
;:- gb[p db vng cd A{-be gb pjen j[ T:$ >7$ 3>$ 35$ ;6$ 73$ 7<-
%N, 3> %C, 35
%K, ;6 %G, 73
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 5/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm 7
;5- Zelke d`ww`s kho`{ lm c`wz``m E nmg M hf we`
@mjdl{e ndyenc`w{ 8
%N, B %C, @
%K, Y %G, [
;<- We` >:we d`ww`s hf we` @mjdl{e ndyenc`w l{ 1
%N, M %C, H
%K, ^ %G, Y
79- We` {po hf ndd we` mpoc`s{ fsho > wh >3 lmkdp{lv`
l{ ‛
%N, 69 %C, :3
%K, :5 %G, 57
Gls`kwlhm 1 Nm{z`s we` ~p`{wlhm mpoc`s{ fsho 7> wh 09
n{ gls`kw`g lm we` ~p`{wlhm{-
7>- Nmbps l{ wndd`s wenm Nmld$ cpw mhw wndd`s wenm
N{el{e- N{el{e l{ {ondd`s wenm Onml{e zeh l{
mhw wndd`s wenm Ml{enmw- Zeh lm wel{ jshpy l{
wndd`{w 8
%N, N{el{e %C, Onml{e%K, Ml{enmw %G, Nmbps
73- N ch| {wnsw`g zndblmj whznsg{ Z`{w- E` wpsm`g
wh el{ sljew$ we`m njnlm sljew nmg flmndd| wh el{
d`fw- Mhz lm zelke gls`kwlhm e` l{ zndblmj 8
%N, @n{w %C, Z`{w
%K, Mhswe %G, [hpwe
7;- Ndd we` keldgs`m hf n {kehhd ns` {wnmglmj lm n dhmj
dlm`- Hm` ch| l{ 3<we lm hsg`s fsho chwe we` mg{-
Ehz onm| ch|{ ns` we`s` lm we` {kehhd 8
%N, :: %C, 0:
%K, 7: %G, ;9
77- G``ynb l{ {lwwlmj hm we` sljew hf [henm n{ z`ddn{ [henm l{ {lwwlmj hm we` sljew hf [nwl{e- Zehl{ {lwwlmj lm we` olggd`-%N, G``ynb %C, [nwl{e%K, [henm %G, Mhm` hf we` nchv`
70- [poo`s l{ znso`s wenm zlmw`s zlwe c`knp{ ‛
%N, On| l{ n ehw ohmwe-
%C, We`s` l{ mh [pm lm zlmw`s-
%K, We` gpsnwlhm hf gn| dljew l{ dhmj lm [poo`s-%G, Mhm` hf we` nchv`
76- [hpmg l{ e`nsg lm we` nls c`knp{`%N, [hpmg l{ n fhso hf m`sj|%C, [hpmg znv`{ wsnv`d fsho {hpsk` wh p{-%K, Ynswlkd`{ hf nls wsnv`d fsho {hpsk` wh p{-%G, [hpmg l{ nwwsnkw`g c| hps ns{
7:- Vnmgnmn zn{ chsm hm F`cspns| 3< we` |`ns
><:3- Ehz onm| clswegn|{ c` k`d`csnw`g py wh
F`cspns| 3995 8
%N, < %C, >9
%K, ;6 %G, ;3
;5- vnuq{we h-bQ`b|b g{ vrba E sFbb M g{ (2 {n gb[p dbvrba vb2{ub T%N, B %C, @%K, Y %G, [
;<- vnuq{we h-bQ`b|b gb >: hb® vrba jb{ub &%N, M %C, H%K, ^ %G, Y
79- > d{ >3 sg ge d`Ds dnR2bvb{n gb 2b{u jb{ub &%N, 69 %C, :3
%K, :5 %G, 57
fpm{ Q*b % lq*p Õ`bng 7>d{ 09g{ oÜba lz M{ u2{ fpm{ Q*bb{ n vp~dba m{N
7>- vng~a_ vfp| d{ |`kb j[ fgPs~ ospb |@kb pjen fwspb
fg vb*be#bN vb*be#b_ pe#b d{ Mb{Vb j[_ wb{ fp*bbns fwspb
|@kb pje j[_ sb{ cd d z j { n dkd{ |@kb gb[p j[ n T
%N,vb*be#b %C, `pe#b
%K, fp*bbns %G,vng~a
73- $g |O"g{ p{ 8ba d{ lf*y` fm*bb ge vb{a y|pb *b~1fg2b_ hj mbfjpe vb{a ~O"b_ g~M mza la f^a mbfjpevb{a ~O"b_ vns { n kb2en vb{a ~O"bN hj fgd fm*bb ge vb{ay| ajb j[ T%N, lz hQ %C, lf*y` %K, oÜba %G, mfrb-b
7;- $g *bb|b g{ dEbe kYyb{n gb{ $g |bcp {n RbO"b fg2b
u2bN $g kYyb mb{pb{ n fda{ d{ fupp{ la 3< h{ n pnka la
vbsb j[N *bb|b `{n g~| fgsp{ kYy{ j[nT%N, :: %C, 0:
%K, 7: %G, ;9
77- melg_ db{jp g{ mb$n k[Cb j[ vb[a db{jp__ dse*b g{ mb$nvb{a j[N `(2 `{n gb[p k[Cb j[ T%N, melg %C,dse*b%K,db{jp %G, olab{Gs {n d{ gb{cQ pjenN
70- uqe#` Xs~ *bes gb| d{ vf(bg ua` jb{se j[_ G2b{nfg &%N, `cQ ua` `bj j[N%C, *bes Xs~ {n { dz2Q pjen jb{sb j[nN
%K, uqe#` {n fmp gb lqgb*b vf(bg d`2 ajsb j[N%G, olab{Gs {n d{ gb{cQ pjenN
76- (hfp jhb {n d~pbc m{se j[n_ G2b{ nfg &%N, (hfp ÀwbQ gb $g 1l j[N%C, (hfp sanu{ dqb{s d{ j` sg lj~®yse j[nN%K, jhb g{ g-b (hfp dqb{s d{ j` sg lj~®ys{ j[nn%G, (hfp gb gbp }bab vbgf#bQs jb{pbN
7:- hnmpb gb wP` 3< ^ahae ><:3 gb{ j~vb FbbN ahae
3995 `{ n hj gb[p db wP`fmp `pb2{ue T
%N, < %C, >9
%K, ;6 %G, ;3
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 6/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm 0
75- ab` $hn `b{jp p{ $g fmp 69 `M|e lgO"eN ab` g{
}bab lgO"e `Mf|2b® `b{jp d{ yba u~pb vf(bg FbeN
`b{jp }bab lgO"e ucQ Mf|2b® jb{ueN%N, >3 %C, >0
%K, ;9 %G, 70
7<- `{ae vb2~ {a{ EbbcQ ge vb2~ g{ m~up{ d{ 3 h#bQ g` j[ nN
2fm {ae vb2~ >6 h#bQ j[_ sb{ {a{ EbbcQ ge vb2~ jb{ueN%N, : %C, <
%K, >9 %G, >7
09- afh sep e| oÜba {n y|bp{ g{ kbm 7 `e| leM{ |b[V
ga vbsb j[N afh vlp{ lqbaf@Ebg fkPm~ d{ fgspe mza
lj~®y u2b T
%N, 0 `e| %C, ; `e|
%K, > `e| %G, : `e|
fpm{Q*b % lq*p Õ`bng 0> d{ 00 `{n fm$ *bKm gb fh|b{` ksbvb{N
0>- l~ ?b
%N, l~ ?b&h(b~ %C, flsb%K,l~ ?be %G, EbbcQ
03- lqbÞfsg%N,Þf?b` %C, 8ba{|z %K, `bph fpf`Qs %G, wnu|e
0;- fhm{*be%N, Ebbase2 %C, m{*be%K, lb*ybS2 %G,vb2fss
07- lqgb*b%N,dk{ab %C,vn(b{ab%K,d {m %G, |b|
00- fpOa%N, fj@`se %C, m2b|z %K,Oalb{g %G, gb{cQ pjen
fpm{Q*b % lq*p Õ`bng 06d{ 69 `{n lzMb u2b dje vng y2p ga
oÜba m{nN
06- 2fm 3 ? 3$ ; ? 6$ 7 ? >3 sFbb 5 ? ;3 jb{_ sb{ >> ? 8
%N, 00 %C, <<%K, >99 %G, >>9
0:- 2fm 5 Ú 5 ? ;3$ : Ú 5 ? 35$ 6 Ú 5 ? 37 sb{ 7 Ú 5 ? 8
%N, >6 %C, 37
%K, ;3 %G, 75
05- 2fm 7 Ú ; ? >;$ sFbb 0 Ú ; ? >6 j[_ sb{ 6 Ú ; ? 8
%N, >5 %C, ><%K, 39 %G, 3>
0<- 2fm 7 Ú 7 ? 33$ 6 Ú 6 ? ;; sFbb 5 Ú 5 ? 77 sb{ 6 Ú
5 ? 8
%N, 65 %C, 37%K, ;7 %G, 75
75- Sno nmg Ohenm whj`we`s knpjew 69 fl{e`{ lm n
gn|- Sno knpjew fhps wlo`{ wenm Ohenm- Ehz
onm| fl{e`{ Ohenm knwke 8
%N, >3 %C, >0
%K, ;9 %G, 70
7<- O| nj` l{ wzh |`ns{ d`{{ wenm wzlk` o| cshwe`s-
Lf L no {luw``m |`ns ehz hdg l{ o| cshwe`s 8%N, : %C, <
%K, >9 %G, >7
09- Lf Snvl zndb{ wes`` old`{ whzsg{ Mhswe$ we`m
wpsm{ cnkb nmg zndb{ 7 old`{- Ehz fns l{ Snvl
fsho we` {wnswlmj yhlmw 8
%N, 0 old`{ %C, ; old`{
%K, > old` %G, : old`{
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s{ 0> wh 00 flmg we`hyyh{lw` zhsg hf we` jlv`m zhsg{-
0>- [hm
%N, Gnpjew`s/lm/dnz %C, Fnwe`s
%K, Gnpjew`s %G, Cshwe`s
03- Mnwpsnd
%N, [|mwe`wlk %C, Eho`d|
%K, Onm ong` %G, Zldg
0;- Fhs`ljm
%N, Lmglnm %C, Lmglj`mhp{
%K, Z`{w`sm %G, Loyhsw`g
07- Dljew%N, Ohsmlmj %C, Gnsbm`{{
%K, Zelw` %G, S`g
00- Gnslmj
%N, Chdg %C, Blmg
%K, Khznsg %G, Mhm`
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s{ 06 wh 69$ flmg hpw we`
khss`kw mpoc`s zelke l{ n{b`g-
06- Lf 3 ? 3$ ; ? 6$ 7 ? >3 nmg 5 ? ;3$ we`m >> ? 8
%N, 00 %C, <<%K, >99 %G, >>9
0:- Lf 5 Ú 5 ? ;3$ : Ú 5 ? 35$ 6 Ú 5 ? 37 we`m 7 Ú 5 ? 8
%N, >6 %C, 37
%K, ;3 %G, 75
05- Lf 7 Ú ; ? >;$ nmg 0 Ú ; ? >6$ we`m 6 Ú ; ? 8
%N, >5 %C, ><%K, 39 %G, 3>
0<- Lf 7 Ú 7 ? 33$ 6 Ú 6 ? ;; nmg 5 Ú 5 ?77 we`m 6
Ú 5 ? 8
%N, 65 %C, 37%K, ;7 %G, 75
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 7/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm 6
69- Lf >3; ? <5:$ 3;7 ? 5:6$ ;70 ? :60 we`m 706 ?8
%N, :50 %C, 056
%K, 607 %G, :65
Gls`kwlhm 1 Lm we` jlv`m fljps` |hp env` lg`mwlf| we`mpoc`s hf wslnmjd`{$ {~pns`{ s`kwnmjd`{ nmg{`d`kw nmg zslw` we` khss`kw hm` lm we` fhddhzlmj~p`{wlhm{-
6>- Zenw l{ we` mpoc`s hf {~pns`{ lm we` fljps` 8
%N, 0 %C, 6
%K, : %G, <
63- Ehz onm| wslnmjd` ns` we`s` lm we` fljps` 8
%N, ;5 %C, 77
%K, 75 %G, 79
6;- Zenw l{ we` mpoc`s hf s`kwnmjd`{ %`ukdpglmj{~pns`{, lm we` fljps` 8%N, 0 %C, 6%K, >> %G, >9
67- Zenw l{ we` mpoc`s hf s`kwnmjd`{ %lmkdpglmj
{~pns`{, lm we` fljps` 8
%N, >9 %C, 39
%K, >5 %G, ><
60- Zenw l{ we` mpoc`s hf dlm`{ lm we` fljps` 8
%N, 39 %C, 36
%K, >5 %G, 33
Gls`kwlhm 1 Lm ~p`{wlhm{ fsho 66 wh :9$ we`s` l{ {ho`
s`dnwlhm{ely c`wz``m we` wzh w`so{ hm we` d`fw
hf {ljm %11,- [`d`kw we` {no` s`dnwlhm{ely
c`wz``m we` wzh w`so{ hm we` sljew {lg` hf 11-
66- Cpww`s 1 Je`` 11
%N, Oldb 1 Khz %C, Kpsg 1 Oldb
%K, Hld 1 Je`` %G, [``g 1 Hld
6:- Ohwe`s 1 [hm 11%N, Ohwe`s 1 Gnpjew`s%C, Cshwe`s 1 [l{w`s
%K, Jsnmg Fnwe`s 1 Jsnmg [hm%G, Fnwe`s 1 Gnpjew`s
65- Pocs`ddn 1 Snlm 11
%N, Khnw 1 Cdnkb
%C, Khnw 1 Zlmw`s
%K, [poo`s 1 [pm dljew
%G, Pocs`ddn 1 Nls
6<- Znw`s 1 Hk`nm 11%N, Nls 1 Nwoh{ye`s`%C, Nls 1 @nswe%K, [`n 1 @nswe
%G, Znw`s 1 Nwoh{ye`s`
69- 2fm >3; ? <5:$ 3;7 ? 5:6$ ;70 ? :60 sb{ 706? 8
%N, :50 %C, 056
%K, 607 %G, :65
fpm{Q*b % fm2{ u2{ fy?b {n f?bEb~w_ huQ sFbb vb2s gb{ ljybp ga
fp@pbnfgs lq*pb{n {n dje fhg\l y~p ga f|fRb2{n &
6>- fy?b `{n hub{Q ge dnR2b fgspe j[ T
%N, 0 %C, 6
%K, : %G, <
63- fy?b {n fgsp{ f?bEb~w d`bfjs j[n T%N, ;5 %C, 77
%K, 75 %G, 79
6;- fy?b {n fgsp{ vb2s huQ gb{ Mb{O"ga¿ j[n T
%N, 0 %C, 6
%K, >> %G, >9
67- fy?b `{n fgsp{ vb2s ´huQ gb{ f`|bga¿ j[n T%N, >9 %C, 39
%K, >5 %G, ><
60- fy?b {n fgspe |bcp{n a{Rbb$n¿ j[n T%N, 39 %C, 36
%K, >5 %G, 33
fpm{Q*b % fm$ u2{ lq*p Õ`bng 66d{ :9 `{n fyPj %11, g{ kbcQ vb{a
fDFbs wb{ d@kP(b j[_ hje d@kP(b mbcQ vb{a g{ f|$
fhg\l `{n d{ y~p{N
66- `GRbp % 8be %%
%N, mz(b % ub2 %C, mje % mz(b
%K, s{| % 8be %G, kew % s{|
6:- `b® % l~?b %%
%N, `b® % l~?be %C, EbbcQ % kfjp
%K, mbmb % lb{sb %G, flsb % l~?be
65- Mbsb % h#bbQ %%%N, gb{V % gb|b%C, gb{V % dmeQ%K, u`eQ % (bz l%G, Mbsb % jhb
6<- w| % `jbdbua %%%N, hb2~ % hb2~`nO|%%C, hb2~ % liFhe%K, d`~mq % liFhe%G w| % hb2~`nO|
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 8/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm :
:9- Kslo` 1 Ypml{eo`mw 11
%N, @vld 1 S`znsg
%C, Ypml{eo`mw 1 Zhsb
%K, Jhhg zhsb 1 S`znsg
%G, Jhhg zhsb 1 Jhg
Gls`kwlhm 1 Lm ~p`{wlhm mpoc`s{ :> wh 59 nm{z`s{ {ehpdg
c` jlv`m nkkhsglmj wh we` jlv`m gls`kwlhm-
:>- We` {po hf wzh khm{`kpwlv` mpoc`s l{ 00$ we`mzelke l{ we` js`nw`s mpoc`s%N, 30 %C, 36%K, 3: %G, 35
:3- Wes`` |`ns{ njh$ [hpo|n zn{ 5 |`ns |hpmj`s
wenm Yhhan- Zenw zldd c` glff`s`mk` c`wz``m we`ls
nj`{ nfw`s flv` |`ns{ 8
%N!, 5 |`ns{ %C, : |`ns{
%K, >3 |`ns{ %G, >0 |`ns{
:;- Zenw l{ we` d`n{w mpoc`s zelke op{w c` ngg`gwh 0<< lm hsg`s wh onb` lw n y`sf`kw {~pns` 8
%N, >99 %C, 09
%K, 36 %G, 30
:7- Yslons| khdhps`{ ns` ‛
%N, S`g$ cdp`$ js``m
%C, S`g$ js``m |`ddhz
%K, \`ddhz$ cdp`$ js``m
%G, S`g$ cdp`$ |`ddhz
:0- Zelke l{ hyyh{lw` wh [hpwe ‛@n{w 8
%N, Mhswe ‛
Z`{w %C, [hpwe ‛
Z`{w
%K, Mhswe %G, [hpwe
:6- Ehz onm| uw`smnd {psfnk`{ n s`kwnmjpdns chuen{ 8%N, 6 %C, 0%K, 7 %G, ;
::- Nkklg`mw l{ s`dnw`g wh ys`knpwlhm{$ lm we` {no`
zn| gl{`n{` l{ s`dnw`g wh ‛
%N, Znw`s %C, Vlsp{
%K, Kd`nmm`{{ %G, Cnkw`sln
:5- Zelke wzh d`ww`s{ hf @mjdl{e ndyenc`w{ ns` lmwe` olggd` 8%N, BD %C, DO%K, AB %G, OM
:<- Lf wes`` gn|{ nfw`s [pmgn| l{ 5we gnw`$ we`m zenw
gn| zldd c` hm >:we gnw` lm wenw ohmwe 8
%N, Wp`{gn| %C, Fslgn|
%K, Z`gm`{gn| %G, Weps{gn|
:9- vlab(b % m-O %%
%N, lbl % l~aDgba
%C, m-O % gb2Q
%K, dSgb2Q % l~aDgba
%G, dSgb2Q % cQ*ha
fpm{Q*b % lq*p Õ`bng :> d{ 59 g{ oÜba lzM{ u2{ fpm{Q*bb{n g{
vp~dba fmfw$N
:>- mb{ Õ bus dnR2bvb{ n gb 2b{u 00j[_ sb{ kO" e dnR2b jb{ue &
%N, 30 %C, 36
%K, 3: %G, 35
:3- sep h#bQ lz hQ db[@2b_ lzwb d{ 5 h#bQ Mb{Ve FbeN lbny h#bQ
kbm opge vb2~ {n vPsa jb{ubN
%N, 5 h#bQ %C, : h#bQ
%K, >3 h#bQ %G, >0 h#bQ
:;- hj Mb{Ve d{ Mb{Ve dnR2b fwd{ 2fm 0<<`{n wb{O"b wb2{_sb{ hj lz-bQ huQ kp wbse j[ &%N, >99 %C, 09
%K, 36 %G, 30
:7- `z| anu j[ &%N, |b|_ pe|b_ jab_%C, |b|_ jab_ le|b%K, le|b_ pe|b_ jab%G, |b|_ pe|b_ le|b
:0- mfrb-b&lzhQ ge fhlaes fm*bb jb{ueN%N, oÜba&lf*y` %C, mfrb-b&lf*y` %K, oÜba %G, mfrb-b
:6- $g vb2sbgba l{Ve ge fgspe kbjae dsj jb{se j[T
%N, 6 %C, 0
%K, 7 %G, ;
::- m~8bQVpb gb d@kP(b dbh(bbpe d{ j[_ sb{ ke`bae gbd@kP(b jb{ub &%N, lbpe %C, fh#bb-b~%K, DhYMsb %G,wehb-b~
:5- cp`{n gb[p d{ mb{ vrba vnuq {we h-bQ`b|b g{ `(2 {n j[n &%N, BD %C, DO
%K, AB %G, OM
:<- fgde `fjp{ ge 5 sbaeRb afhhba g{ sep fmp kbm
lO"se j[_ sb{ od bj ge >: sbaeRb gb{ gb[p db fmp
jb{ub T
%N, `nu|hba %C, *b~Õhba
%K,k~(bhba %G, u~+hba
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 9/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm 5
59- Zelke hm` hf we` fhps glnjsno{ c`dhz [kehhd$
W nke`s$ [wpg`mw{- --
%N, %C,
%K, %G,
Gls`kwlhm 1 %5> wh <9, Lm ~p`{wlhm mpoc`s{ 5> wh <9
`nke en{ fljps`{ zelke khmwlmp` wh kenmj` lm
we` {y`klflk onmm`s{- Fsho we` nm{z`s fljps`{$
flmg hpw zelke fljps`{ zldd kho` we` m`uw 8
5>-
%N, %C, %K, %G,
53-
%N, %C, %K, %G,
5;-
%N, %C, %K, %G,
57-
%N, %C, %K, %G,
50-
%N, %C, %K, %G,
59- pey{ fm2{ u2{ yba fy?bb{ n `{ n fhtb|2_ f*brbg vb[a fhtbFbeQ
gb dje fy?b gb[p db j[n 8
%N, %C,
%K, %G,
Gls`kwlhm 1 %5> wh <9, { lqS2{g lq*p { n yba vbÞfs2b® me ucQ
j[_ wb{ $g fh*b{#b Õ` n{ km|se j[nN 2fm vbÞfs cde
Õ` `{n km|se j[_ sb{ oÜba vbÞfs2b{n `{n d{ gb[p&de
vbÞfs vu|e jb{ue T
5>-
%N, %C, %K, %G,
53-
%N, %C, %K, %G,
5;-
%N, %C, %K, %G,
57-
%N, %C, %K, %G,
50-
%N, %C, %K, %G,
8/8/2019 Mat_Paper 08- MP
http://slidepdf.com/reader/full/matpaper-08-mp 10/10
Ys`/fhpmgnwlhm Kns``s Kns Yshjsnoo`{ %YKKY, Glvl{lhm <
56-
%N, %C, %K, %G,
5:-
%N, %C, %K, %G,
55-
%N, %C, %K, %G,
5<-
%N, %C, %K, %G,
<9-
%N, %C, %K, %G,
56-
%N, %C, %K, %G,
5:-
%N, %C, %K, %G,
55-
%N, %C, %K, %G,
5<-
%N, %C, %K, %G,
<9-
%N, %C, %K, %G,