Mat_Paper 07 kerela
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Transcript of Mat_Paper 07 kerela
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8/8/2019 Mat_Paper 07 kerela
1/10
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8/8/2019 Mat_Paper 07 kerela
2/10
1^tm/ek}jhaxgkj Batmmt Batm tkftaoomr ,^BB^' Hgugrgkj 1
Xlmtm atm 7> q}mrxgkjr gj acc* Ekt mabl q}mrxgkj
egum acxmtjaxgum ajrvmtr atm fgumj oatimh ar 1#
4# 2# 8# =* Etko xlmrm# egjh xlm bkttmbx kt okrx
a~~tk~tgaxm ajrvmt* Xlm j}odmt hmjkxgjf xlgr
ajrvmt gr xlmtm gj xlm ajrvmt rlmmx afagjrxxlm q}mrxgkj j}odmt bkjbmtjmh* Btkrr ,\' xlax
j}odmt* Tmbkth xlm ajrvmtr xl}r gj xlm ajrvmt
rlmmx kjcw* Hk jkx vtgxm ajwxlgjf gj xlm q}mrxgkj
dkkicmx m|bm~x wk}t Tkcc J}odmt kj xlm bkumt
~afm ajh tk}fl vkti gj xlm r~abm ~tkughmh ekt
xlm ~}t~krm*
Q}mrxgkjr 0 1 = 0
Hgtmbxgkj 0 Gj gxmor 1/=# xlmtm gr a j}odmt rmtgmr vgxl
kjm xmto ogrrgjf ar rlkvj dw ,;'* Xlgr xmto gr
kjm ke xlm egum j}odmtr fgumj dmckv gx* Egjh xlgr
xmto etko xlm fgumj acxmtjaxgumr*
1* 1=# 15# 17# 4># 42# 48# 46# ;
,A' 4> ,D' 17
,B' 46 ,H' 4 ,H' 4
,M' 1
11* L G D M B
< 8 1 5 =
,A' 1 ,D' >
,B' = ,H' 2
,M' 4
14* D E H @ L
1 7 < 4 6
,A' 4 ,D' 8
,B' 1 ,H' >
,M' 2
12* B L F A M
2 5 = 1 5
,A' 2 ,D' =
,B' 4 ,H' 1
,M' 8
18* E H @ D L
< 2 = 4 6
,A' 2 ,D' >
,B' 4 ,H' 8,M' 1
IMTMCA[ JXRM/RXAFM/G ,WMAT 0 4>>6' OAX
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4^tm/ek}jhaxgkj Batmmt Batm tkftaoomr ,^BB^' Hgugrgkj 4
1=* D A M B F
4 1 = 2 6
,A' > ,D' 1
,B' 2 ,H' =
,M' 8
Q}mrxgkjr 0 15 45 0 Xlm j}odmtr gj xlm rq}atm+bgtbcm
atm egccmh kj xlm dargr ke rkom t}cm* Xlmtm gr adcabi r~abm ar rlkvj dw ,;'* Egjh k}x xlm
bkttmbx j}odmt etko xlm fgumj acxmtjaxgumr xk egcc
gj xlm dcaji r~abm*
15* = 12
< 2
6 ;
1=
,M' 1=>
16* 2
2
46
= 482
8
;
12
,A' 25 ,D' 8=
,B' ,D' 82,B' 44 ,H' =
,M' 84
48*
1=
41;
4727
,A' => ,D' =1
,B' ,H' 52
,M' 62
4=*
48
= 16
25 84
6
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2^tm/ek}jhaxgkj Batmmt Batm tkftaoomr ,^BB^' Hgugrgkj 2
45*12 18
14
1=
18 1= ;1= 14 12
12 18 1=
14 12 18
,A' 1= ,D' 12
,B' 14 ,H' 18,M' 15
Q}mrxgkjr 0 46 25 0 Egum vkthr gj Mjfcgrl
ba~gxac cmxxmtr ajh xk xlm tgflx xlmgt bkhmr gj
Mjfcgrl roacc cmxxmtr atm fgumj* D}x xlm roacc
cmxxmtr hk jkx a~~mat gj xlm raom kthmt ar xlm
cmxxmtr gj xlm vkth* ]jhmtrxajh xlm bkhm ekt mabl
cmxxmt ajh egjh k}x xlm bkhm ekt vkthr 46 25*
R M T G M R k a m k m ~
R B A T M ~ k i m h
R M M H g k m k
B A T H
~ g i h
A B X h j i
46* TMH
,A' gkh ,D' kmh
,B' hj~ ,H' ~hm
,M' gk~
4* BGXM
,A' ghka ,D' ~ikg
,B' kajh ,H' hagj
,M' ~jgk
21* HGBM
,A' hgki ,D' ~kij
,B' akhj ,H' hkag
,M' gahi
24* XTABM
,A' ik~jk ,D' hki~j
,B' i~jag ,H' ~ikmg
,M' mgki~
22* HGMX
,A' kgja ,D' jaki
,B' gki~ ,H' jai~
,M' ~iag
28* RGHM
,A' jkai ,D' agmk
,B' ijk~ ,H' gjka
,M' i~jk
2=* RXMMT
,A' agim~ ,D' kimmj
,B' mmik~ ,H' kjkm~
,M' kk~im
25* HMAT
,A' ki~m ,D' agik
,B' gkj~ ,H' ikm~
,M' k~ig
Q}mrxgkjr 0 2684 0Xlmtm gr rkom tmcaxgkjrlg~ dmxvmmj
xlm xvk xmtor ,j}odmtr+cmxxmtr+egf}tmr' kj xlm
cmex rghm ke xlm rgfj ,0 0'* Xlm raom tmcaxgkjrlg~
m|grxr dmxvmmj xlm xvk xmtor kj xlm tgflx ke
xlm rgfj# ke vlgbl kjm gr ogrrgjf* Egjh xlm
ogrrgjf kjm etko xlm fgumj = acxmtjaxgumr*
26* 14 0 2> 0 0 4> 0 ;
,A' 4= ,D' 24
,B' 2= ,H' 84
,H' 8< ,H' 174
,M' 158
8>* 1 0 8 0 0 < 0 ;
,A' 75 ,D' =,M' =>
81* 1 0 25 0 0 4 0 ;
,A' 8> ,D' 6>
,B' 57 ,H' 87
,M' 184
84* 2 0 1> 0 0 < 0 ;
,A' 1> ,D' 12
,B' 18 ,H' 15
,M' 16
Q}mrxgkjr 0 82 0 =4 0]jhmtrxajh xlm ekcckvgjf egum cmxxmt
rmtgmr batme}ccw* ,Rmtgmr',A' ADB# DBH# BHM# HME
,D' BH\# HMV# MEU# EF]
,B' BWV# M\U# FV]# GUX
,H' BMF# HEL# MFG#EL@
,M' APW# DW\# B\V# HVU
Gj q}mrxgkjr 82 xk =4# a xmto gr fgumj vlgbl
dmckjfr xk kjm ke xlm adkum rmtgmr* Egjh k}x xk
vlgbl rmtgmr gx dmckjfr ajh gjhgbaxm gxr j}odmt
gj xlm ajrvmt rlmmx*
82* PAD
88* ]UV
8=* DBW
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8^tm/ek}jhaxgkj Batmmt Batm tkftaoomr ,^BB^' Hgugrgkj 8
85* MU]
86* ADP
8* E]X
=1* FLX=4* I]R
Hgtmbxgkjr ,=2==' 0 M|aogjm xlm ekcckvgjf j}odmtr*
Darmh kj xlgr# egjh k}x xlm ajrvmtr ekt q}mrxgkjr
=2 xk ==*
4 6 1 4 6 = = 7 < 7 = > = 8 1 7 1 8 1 < 2 > 8 1 ,D' 48,B' 2> ,H' 25,M' 88
52* Lkv oajw tmbxajfcmr atm xlmtm gj xlm ekcckvgjfegf}tm ;
,A' 1> ,D' 11,B' 14 ,H' 7,M'