7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;
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;>>>
c`xa hldcikf 1
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8
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Txkxl xbl `kil ae xbl ~afsga` jlfaw@skxkmk` `kik jl`x|m hc jkwkb .
Ecexs xba|tk`h k`h xwl`xs) ea|z
Fcik ~|f|b zcj| h|k ~|f|b li~kx
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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5
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7
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2
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G4
3
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Txkxl xbl uaf|il & c` if & ae wkxlz c` xbl da`xkc`lz@skxkmk` ctc~kh|& hkfki & if& kcz hkfki jlmkt cx|.
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Hckgzki ;4 tbawt k ~afsga`.Zkokb ;4 il`|`o|mmk` t|kx| jl`x|m.
Wbkx ct xbl `kil ae xbl ~afsga`1
@skxkmk` `kik jl`x|m hc kxkt.
<>> if
;>>> if
Hckgzki ;>! Zkokb ;>
55557 <387 <387 <387 <38 Hckgzki ;; !Zkokb ;;
Hckgzki ;4! Zkokb ;4
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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7/30/2019 Modul 1 markah
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Txkxl xbl ezkdxca` ae xbl wbafl hckgzki ct tbkhlh@skxkmk` ~ldkbk` mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb.
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Hckgzki :> tbawt k d|jach.Zkokb :> il`|`o|mmk` tlj|kb m|jach .
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Hckgzki ;2! Zkokb ;2
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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;>>> ml~khk ~lz~|f|bk` .
<>> if
;>>> if
Hckgzki :<! Zkokb :<
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
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t k tlulzkf t{|kzl wcxb xbl tkil tcl.|mmk` jljlzk~k tlgcil~kx tkik sk`g
|ijlz ae wbafl hckgzki ct tbkhlh.aijaz jlzdki~|z mkwktk` jlzfazlm.
t xbl iktt ae xbl dkzzaxt.|mmk` jlzkx jljlzk~k jcoc fajkm.
& c` g& xbl dkzzaxt1hkfki g& fajkm cx|1
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ci~za~lz ezkdxca`.
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kik jltkz.
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G3
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Txkxl xbl `|ijlz ae xbl fc`lt ae tsiilxzs ae xbl ~cdx|zl.@skxkmk` jcfk`gk` gkzct tcilxzc sk`g xlzhk~kx ~khk zkokb cx| 1
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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Txkxl xbl ~fkdl ukf|l ae 4 c` `|ijlz jlfaw.@skxkmk` `cfkc xli~kx jkgc k`gmk 4 ~khk `aijaz hc jkwkb.
47
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42
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Txkxl c` `|ilzkf@skxkmk` hkfki k`gmk.
43
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c`xa icrlh `|ijlz.
X|mkzmk` ;< 7
ml~khk ̀ aijaz jlzdki~|z .
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Hckgzki 8> tbawt k z|flz.Zkokb 8> il`|`o|mmk` tljkxk`g ~lijkzct.
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Hckgzki 8> !Zkokb 8>
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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88
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Hckgzki 88 tbawt k ~cdx|zlt.Zkokb 88 il`|`o|mmk` tlj|kb gkijkz.
Ec`h xbl `|ijlz ae fc`l ae tsiilxzs eaz xbl ~cdx|zl.Dkzcmk` jcfk`gk` gkzctk` tcilxzc ~khk gkijkz cx|.
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Wzcxl 5.<> ki c` :8 ba|zt tstxliX|fctmk` 5.<> ki hkfki tstxli :8 oki
Hck zki 88! Zk kb 88
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;:
85
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Txkxl xbl hcgcx `|ijlz ae `|ijlz 8.@skxkmk` `cfkc hcgcx jkgc k`gmk ‒8–.
87
;I
Da`ulzx ;.4 c`xa ~lzdl`xkgl.X|mkzmk` ;.4 ml~khk ~lzkx|t.
82
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Txkxl 42.78< xa xbl `lkzltx b|`hzlhxb.@skxkmk` 42.78< ml~khk h|k xli~kx ~lz~|f|bk`.
83
;I
Txkxl xbl tci~fltx ezkdxca` eaz8;5
ct
^lzi|hkbmk` 8
;5 ckfkb
82 5>;
Hckgzki 85 Zkokb 85
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;4
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;I
47: ÷ 4; 9
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Hckgzki <; tbawt k `|ijlz fc`l.Zkokb <; il`|`o|mmk` tkx| gkzct `aijaz.
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<:
;I
Txkxl 4.;:8 xa xbl a`l hldcikf ~fkdl.@skxkmk` 4.;:8 ml~khk tkx| xli~kx ~lz~|f|bk`.
<4
;I
Hckgzki <4 tbawt k tbk~l&Zkokb <4 il`|`o|mmk` tkx| jl`x|m.
Txkxl xbl `kil ae xbl tbk~l
@skxkmk` `kik jl`x|m cx|.
3>> @38>3:> Hckgzki <; !Zkokb <;
Hckgzki <4!Zkokb <4
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;8
<8
;I
Da`ulzx 8;8
c`xa ci~za~lz ezkdxca`1
X|mkzmk` 8 ;8
ml~khk ~ldkbk` xkm wkokz 1
<<.
;I
Hckgzki << tbawt k z|flz.Zkokb << il`|`o|mmk` tljkxk`g ~lijkzct.
Hzkw k txzkcgbx fc`l xa tbaw xbl fl`gxb 5.7 di.F|mctmk` tkx| gkzctk` f|z|t sk`g il`|`o|mmk` ~k`ok`g 5.7 di.
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;I
Za|`h aee 4< 275 xa xbl `lkzltx b|`hzlh.
J|`hkzmk` 4< 275 ml~khk zkx|t sk`g xlzhlmkx .
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;I
Da`ulzx 54
;>>>c`xa hldcikf.
X|mkzmk` 5 4
;>>> ml~khk ~lz~|f|bk`.
<2
;I
Hckgzki <2 da`tctx k tlulzkf t{|kzl wcxb xbl tkil tcl.Zkokb <2 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.
Txkxl xbl icrlh `|ijlz ae xbl wbafl hckgzki ct tbkhlh.@skxkmk` hkfki `aijaz jlzdki~|z mkwktk` jlzfazlm hkzc~khk tlf|z|b
zkokb.
; : 4 8 < 5 7 2 3 ;> d i d i d i d i
Hckgzki <<! Zkokb <<
Hckgzki <2! Zkokb <2
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;<
<3
;I
Hckgzki <3 tbawt k da`l.Zkokb <3 il`|`o|mmk` tlj|kb ma`.
Txkxl xbl `|ijlz ae efkx ekdl ae xbl da`l.@skxkmk` jcfk`gk` ~lzi|mkk` zkxk ma` cx|.
5>
:I
Hckgzki 5> tbawt xbl xcilt Iz Dbk`g jkdm ezai xaw` kx `cgbx.Zkokb 5> il`|`o|mmk` iktk L` Dbk`g jkfcm hkzc~khk jk`hkz ~khk wkmx| ikfki .
Wzcxl xbl xcil c` :8 ba|zt tstxli.@skxkmk` iktk cx| hkfki tctxli :8 oki.
5;
;I
Za|`h aee 2< :2< xa xbl `lkzltx xba|tk`ht.
J|`hkzmk` 2< :2<ml~khk zcj| sk`g xlhlmkx .
5:
;I
8< :<8 — 8 5<3 9
54
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Da`ulzx ;.;: xa ~lzdl`xkgl1X|mkzmk` ;.;: ml~khk ~lzkx|t1
Hckgzki <3!Zkokb <3
;:
3
5
4
; :
8<7
2
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Hckgzki 5> !Zkokb 5>
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;5
58
;I
Hckgzki 58 da`tctxt xbl tlulzkf t{|kzlt wcxb xbl tkil tcl.Zkokb 58 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.
Wbkx ct xbl ezkdxca` ae xbl wbafl hckgzki ct tbkhlh1Jlzk~kmkb ~ldkbk` mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb1
5<.
;I
Hckgzki 5< tbawt k fl`gxb ae k fc`l.Zkokb 5< il`|`o|mmk` ~k`ok`g gkzctk`.
Txkxl xbl fl`gxb & c` di & xbl fc`l.@skxkmk` ~k`ok`g& hkfki di& gkzctk` cx|.
55
;I
Txkxl xbl ~fkdl ae ukf|l ae > ae `|ijlz <; >43.@skxkmk` `cfkc xli~kx jkgc k`gmk > ~khk `aijaz <; >43
57
;I
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Hckgzki 58 !Zkokb 58
; : 4 8 < 5 7 2 3 ;> d i d i d i d i
Hckgzki 5< !Zkokb 5<
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;7
52
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Da`ulzx 3, c`xa hldcikf1X|mkzmk` 3, ml~khk ~lz~|f|bk`
53
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Wzcxl c` wazh.X|fctmk` hkfki ~lzmkxkk` .
7>
;I
Hckgzki 7> tbawt xbl iktt ae k` azk`glt.Zkokb 7> il`|`o|mmk` jlzkx tljcoc azl`&
Wbkx ct xbl iktt& c` g& xbl azk`glt1Jlzk~kmkb jlzkx& hkfki g& azl` cx|1
8.>>58.>>58.>>58.>>5
Hckgzki 7> !Zkokb 7>
>
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;
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g
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;2
7;
;I
Hckgzki 7; tbawt ecul `|ijlz dkzht.Zkokb 7; il`|`o|mmk` fcik mkh `aijaz.
Da`txz|dx xbl jcggltx < hcgcx ukf|l ezai xbl dkzht.Jc`kmk` `aijaz xlzjltkz < hcgcx hkzc~khk mkh)mkh cx|.
7:
;I
Hckgzki 7: tbawt k `|ijlz fc`l.Zkokb 7: il`|`o|mmk` tkx| gkzct `aijaz.
Ec`h xbl ukf|l ae M 1@cfkc M ckfkb
74
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Da`ulzx 2.>4 xa xbl icrlh `|ijlz.X|mkzmk` 2.>4 ml~khk `aijaz jlzdki~|z.
78
;I
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<<<< >>>> :::: 7777 >>>>
Hckgzki 7; !Zkokb7;
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2 M ;
Hckgzki 7: !Zkokb 7:
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G;3
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Hckgzki 7< tbawt k` li~xs tdkfl.Zkokb 7< il`|`o|mmk` tkx| hkdc`g xk`~k okz|i.
Hzkw k ~ac`xlz xa tbaw xbl iktt ae d|jach ct 2<> g .F|mctmk` okz|i sk`g il`|`o|mmk` jlzkx m|jach cx| ckfkb 2<>g.
75
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Wzcxl xbl `|ijlz c` `|ilzkfX|fct `aijaz hc jkwkb hkfki k`gmk.
77
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Da`ulzx ;<, c`xa hldcikfX|mkzmk` ;<, ml~khk ~lz~|f|bk`.
72
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Hckgzki 72 tbawt k `|ijlz fc`l.Zkokb 72 il`|`o|mmk` tkx| gkzct `aijaz.
Wbkx ct xbl ukf|l ae M .@cfkc M 9
>
:<>7<>
;
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g
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Hckgzki 7<! Zkokb 7<
Eazxs xba|tk`h k`h xl`Eazxs xba|tk`h k`h xl`Eazxs xba|tk`h k`h xl`Eazxs xba|tk`h k`h xl`Li~kx ~|f|b zcj| tl~|f|b Li~kx ~|f|b zcj| tl~|f|b Li~kx ~|f|b zcj| tl~|f|b Li~kx ~|f|b zcj| tl~|f|b
>.:8 >.45 M>.:2 >.4:
Hckgzki 72 !Zkokb 72
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
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Hckgzki 2> tbaw xbl iktt ae xbl wkxlzilfa`.Zkokb 2> il`|`o|mmk` jlzkx tljcoc xlijcmkc.
Wbkx ct xbl iktt& c` mg& xbl wkxlzilfa`1K~kmkb jlzkx& hkfki mg& xlijcmkc cx|1
2;
;I
Hckgzki 2; tbawt k `|ijlz dkzh.Zkokb 2; il`|`o|mmk` k mkh `aijaz.
Da`xz|dx k`s `|ijlz ea|z hcgcx wcxb 2 zl~zltl`x ukf|l ae b|`hzlhJc`kmk` tljkzk`g `aijaz 8 hcgcx hl`gk` 2 ilwkmcfc `cfkc zkx|t.
2:
;I
Da`ulzx <7, c`xa hldcikf.X|mkzmk` <7, ml~khk ~lz~|f|bk` .
Hckgzki 2>! Zkokb 2>
5555 8888 >>>> 2222
Hckgzki 2; Zkokb 2;
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:;
24
;I
Wzcxl c` `|ilzkfX|fctmk` hkfki k`gmk.
28
;I
Hckgzki 28 da`tctx xbl tlulzkf t{|kzlt wcxb xbl tkil tcl.Zkokb 28 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.
Wbkx ct xbl ezkdxca` ae wbafl hckgzki ct tbkhlh.Jlzk~kmkb ~ldkbk` mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb.
2<.
;I
Hckgzki 2< tbawt xbl iktt ae xbl jaam wcxba|x ~ac`xlz.
Zkokb 2< il`|`o|mmk` jlzkx j|m| xk`~k okz|i ~khk ~l`cijk`g.
Hzkw k ~ac`xlz xa tbawt xbl iktt ae xbl jaam ct 4.7 mg.F|mctmk` okz|i |`x|m il`|`o|mmk` jlzkx j|m| cx| ckfkb 4.7 mg .
25
;I
Hckgzki 25 tbawt k ea|z `|ijlz dkzht.Zkokb 25 il`|`o|mmk` li~kx ml~c`g mkh `aijaz.
Kzzk`gl xbl dkzht kddazhc`g ktdl`hc`g azhz.T|t|`mk` il`gcm|x x|z|xk` il`kcm.
Ea|z ~ac`x lza a`l ecul
Li~kx ~lz~|f|bk` tcekz tkx| fcik
Hckgzki 28 !Zkokb 28
>
;
:4
8
<
mgHckgzki 2< Zkokb 2<
: 22< : 2>< : 32< : 2<<
Hckgzki 25 !Zkokb 25
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G::
27
;I
Da`ulzx;>>>
;7< c`xa hldcikf .
X|mkzmk` ;>>>
;7< ml~khk ~lz~|f|bk`.
22
;I
Txkxl c` `|ilzkf@skxkmk` hkfki k`gmk.
23
;I
Hckgzki 23 da`tctxt k tlulzkf t{|kzl wcxb xbl tkil tcl.Zkokb 23 il`gk`h|`gc jljlzk~k tlgcli~kx tkik sk`g tkik jltkz.
Txkxl xbl icrlh `|ijlz ae xbl wbafl `|ijlz ct tbkhlh@skxkmk` hkfki `aijaz jlzdki~|z mkwktk` jlzfazlm .
3>
;I
Hckgzki 3> tbawt k hcgcxkf dfadm.Zkokb 3> il`|`o|mmk` tkx| oki hcgcxkf.
Da`ulzx xbl xcil c`xa ;: ba|zt tstxlitX|mkzmk` wkmx| xlztlj|x ml~khk tctxli ;: oki..
Xwa ecexb H|k ~lz fcik
Hckgzki23 ! Zkokb23
:>:>:>:> ? <>? <>? <>? <> Hckgzki 3> ! Zkokb 3>
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:4
3;
;I
Hckgzki 3; tbawt k `|ijlz dkzh.Zkokb 3; il`|`o|mmk` tlml~c`g mkh `aijaz.
Wzcxl xbl `|ijlz c` `|ilzkf.X|fctmk` hkfki k`gmk .
3:
;I
Da`ulzx 4.; c`xa icrlh `|ijlz.X|mkzmk` 4.; ml~khk `aijaz jlzdki~|z.
34
;I
Txkxl 4.8<5 xa xbl `lkzltx xl`xb.@skxkmk` 4.8<5 ml~khk ; xli~kx ~lz~|f|bk`.
38
;I
Hckgzki 38 tbawt k `|ijlz dkzh.Zkokb 38 il`|`o|mk` tkx| mkh `aijaz.
Wzcxl c` `|ijlz c` wazh.X|fctmk` hkfki ~lzmkxkk` k`gmk cx| .
3<.
;I
7: 5<> ) 8 348 9
Hckgzki 3; ! Zkokb 3;
Xbzll b|`hzlh xba|tk`h k`h a`l
Xcgk zkx|t zcj| tkx|
4.>>74.>>74.>>74.>>7
Hckgzki 38 ! Zkokb 38
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:8
35
;I
Hckgzki 35 tbaw k dfadm.Zkokb 35 il`|`o|mmk` oki xk`~k okz|i
Hzkw xbl bk`ht k`h ic`|xlt ba|zt xa tbawt ;> ic`|xlt xa 5 c̀ lul`c`g.F|mctmk` okz|i oki hk` ic`cx |`x|m il`|`o|mmk` ;> ic`cx tljlf|i oki 5.>> ~lxk`g.
37
;I
Txkxl xbl lrxl`hlh `axkxca` ae 4> <>7 .@skxkmk` dlzkmc`k` jkgc 4> <>7.
32
;I
Da`ulzx;44
c`xa icrlh `|ijlz.
X|mkzmk` ;4
4
ml~khk `aijaz jlzdki~|z.
33
;I
Da`ulzx 27, c`xa hldcikf.X|mkzmk` 27, ml~khk ~lz~|f|bk`.
;>>
;I
Tci~fltx xbl ezkdxca` ae<;<
ct
^lzi|hkbmk` jkgc < ;<
ckfkb
;:
3
5
4
;:
8<7
2
;>;;
Hckgzki 35 ! Zkokb 35
7/30/2019 Modul 1 markah
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:5
;>8
;I
Wzcxl xbl ~fkdl ukf|l ae xbl hcgcx 5 c` <5 34<@skxkmk` `cfkc xli~kx jkgc hcgcx 5 hkfki <5 34<
;><
;I
Hckgzki ;>< da`tctxt ae tlulzkf zldxk`gfl ae l{|kf tcl.Zkokb ;>< xlzhczc hkzc~khk jljlzk~k tlgc li~kx xl~kx sk`g tkik tkc.
Hckgzki ;><
Zkokb ;><
Tbkhl4
;ae xbl wbafl hckgzki 1
Fazlm 4
;hkzc~khk tlf|z|b zkokb1
;>5
;I
Da`ulzx 8.>; xa k icrlh `|ijlz.
X|mkzmk` 8.>; ml~khk `aijaz jlzdki~|z.
;>7
;I
Hckgzki ;>7 tbaw k zldxk`gfl hcuchlh c`xa tlulzkf l{|kf ~kzxt.Zkokb ;>7 il`|`o|mmk` tlj|kb tlgcli~kx xl~kx sk`g hcjkbkgcmk` ml~khk jljlzk~k jkbkgck` sk`g tkik jltkz.
Hckgzki ;>7Zkokb ;>7
Wzcxl c` wazht xbl ezkdxca` wbcdb zl~zltl`xt xbl dafa|zlh zlgca` ae xblwbafl hckgzki.X|fctmk` hkfki ~lzmkxkk` ~ldkbk` sk`g ilwkmcfc mkwktk` jlzwkz`k
hkzc~khk tlf|z|b zkokb cx|.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:7
;>2
;I
Za|`h aee 4.;:< xa xbl `lkzltx b|`hzlhxbt.J|`hkzmk` 4.;:< ml~khk ~lztlzkx|t sk`g xlzhlmkx.
;>3
;I
Hckgzki ;>3 tbawt k dsfc`hlzZkokb ;>3 il|`o|mmk` tlj|kb tcfc`hlz
Txkxl xbl `|ijlz ae efkx ekdlt1@skxkmk` jcfk`gk` ~lzi|mkk` zkxk1
;;>
;I
4> 8<; —;<3 9
;;;
;I
Xkjfl ;;; tbawt xbl dbkzkdxlzctxcdt ae k xbzll hcil`tca`kf tbk~l.Okh|kf ;;; il`|`o|mmk` dczzc)dczc tlj|kb jl`x|m xcgk ikxzk .
Xkjfl ;;;! okh|kf ;;;
@kil xbl xbzll)hcil`xca`kf tbk~l@kikmk` jl`x|m xcgk ikxzk cx|.
@|ijlz ae lhglJcfk`gk` xl~c >
@|ijlz ae ulzxlrJcfk`gk` j|d| >
@|ijlz ae d|zul ekdlJcfk`gk` ~lzi|mkk` ilfl`gm|`g
;
7/30/2019 Modul 1 markah
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7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G:3
;;7
;I
Hckgzki ;;7 da`tctxt ae tlulzkf xzck`gflt ae l{|kf tcl.
Zkokb ;;7 xlzhczc hkzc~khk jljlzk~k tlgc xcgk sk`g tkik jltkz.
Hckgzki ;;7Zkokb ;;7
Wbkx ezkdxca` ae xbl wbafl hckgzki ct tbkhlh1
Jlzk~kmkb ~ldkbk` hkzc~khk tlf|z|b zkokb cx| hcfazlmmk` 1
;;2
;I
Hckgzki ;;2 tbawt xbl uaf|il ae wkxlz c` k jlkmlz.
Zkokb ;;2 il`|`o|mmk` ctc ~kh| kcz hkfki tlj|kb jcmkz.
Hckgzki ;;2Zkokb ;;2
Wbkx ct xbl uaf|il ae wkxlz& c` i℔ & c` xbl jlkmlz1
Jlzk~kmkb ctc ~kh| kcz & hkfki i℔ & hkfki jcmkz xlztlj|x 1
;;3
;I
Wzcxl ZI <>>.8> c` wazht.
X|fct ZI <>>.8> hkfki ~lzmkxkk`.
;:>
;I
Txkxl xbl `|ijlz ae lhglt ae k dsfc`hlz.
@skxkmk` jcfk`gk` xl~c jkgc tlj|kb tcfc`hlz.
; >>> i℔
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G4>
;:;
;I
Da`ulzx 4 .>3 xa k icrlh `|ijlz.X|mkzmk` 4.>3 ml~khk `aijaz jlzdki~|z
;::
;I
9327
8 r
;:4
;I
9√
3
4
3
<:
;:8
;I
>.7<5 ÷ 7 9
;:<
;I
Da`ulzx;>>>
:3 xa k hldcikf.
X|mkzmk` ;>>>
:3 ml~khk ~lz~|f|bk`
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;:5
;I
5.>3 - ;:.5 9
;:7
;I
Hckgzki ;:7 tbZkokb ;:7 il`|
Wzcxl xbl xcil c` x@skxkmk` wkmx|
;:2
;I
Hckgzki ;:2 tbaZkokb ;:2 il`|
Txkxl xbl `|ijlz@skxkmk` jcfk`gk
M \^TZ
AFLB DCMG\ WA@G
w Kwk`–t hc``lz xcil. o|mmk` iktk ikmk` ikfki jkgc Kik`
Hckgzki ;:7Zkokb ;:7
bl :8)ba|z tstxlikfki tstxli :8 oki
t k t{|kzl. o|mmk` tlj|kb tlgc li~kx tkik.
Hckgzki ;:2Zkokb ;:2
ae fc`lt ae tsiilxzs ae xbl t{|kzl` gkzct tcilxzc jkgc tlgc li~kx tkik
4;
.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;:3
:8;:
<9
Wbkx `|ijlz i|K~kmkb ̀ aijaz
;4>
;I
Hckgzki ;4> tbaZkokb ;4> il`|
HckgzkiZkokb
Txkxl xbl `|ijlz@skxkmk` jcfk`gk
;4;
;I
2: >>> — : 8>5 9
;4:
;I
Txkxl xbl hcgcx ukf@skxkmk` `cfkc hc
M \^TZ
AFLB DCMG\ WA@G
tx jl wzcxxl` c` xbl jar1k`g ~lzf| hcx|fct hkfki maxkm1
t k d|jach. o|mmk` tlj|kb m|jach
;4>4>
ae ulzxcdlt` j|d|
|l ae 8 c` xbl `|ijlz 78 <4>cx jkgc 8 hkfki `aijaz 78 <4>
4:
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G44
;44
;I
Txkxl >.;7 kt k ezkdxca`.@skxkmk` >.;7 ml~khk `aijaz ~ldkbk`
;48
;I
;3.8 — 4.:7 9
;4<
;I
Hckgzki ;4< tbawt xbl uaf|il ae wkxlz c` k jlkmlz.Zkokb ;4< il`|`o|mmk` ctc~kh| kcz hkfki tlj|kb jcmkz
Wbkx ct xbl uaf|il& c` i & ae xbl wkxlz 1Jlzk~kmkb ctc~kh| & hkfki i & kcz cx|1
Hckgzki ;4<! Zkokb ;4<
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G48
;45
;I
Hckgzki ;45 tbawt k `|ijlz dkzh.
Zkokb ;45 il`|`o|mmk` tkx| mkh ̀ aijaz.
Da`txz|dx k`s `|ijlz 8 hcgcx wcxb 2 zl~zltl`x ukf|l ae b|`hzlhJc`k tlikzk`g `aijaz 8 hcgcx hl`gk` 2 ilwkmcfc `cfkc zkx|t.
;47
;I
Da`ulzx <3, c`xa hldcikf.X|mkzmk` <3, ml~khk ~lz~|f|bk` .
;42
;I
Wzcxl c` `|ilzkf.X|fctmk` hkfki k`gmk.
;43
;I
Za|`h aee :3 32: xa xbl `lkzltx xba|tk`h.J|`hkzmk` :3 32: ml~khk zcj| sk`g xlzhlmkx.
3333 <<<< >>>> 2222
Hckgzki ;45
Zkokb ;45
Ea|z ~ac`x lza xwa ecul
Li~kx ~lz~|f|bk` tcekz h|k fcik
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;8>
;I
Wzcxl 48.<5: c` wX|fctmk` 48.<5:
;8;
;I
Hckgzki ;8; tbaZkokb ;8; il` ml~khk jljlzk~k
Wzcxl c` wazht xbwbafl hckgzki.X|fct hkfki ~l hkzc~khk tlf|z|b
;8:
;I
Hckgzki ;8:tbaZkokb ;8:il`|`o
Wbkx ct xbl wlcgb
Jlzk~kmkb jlzkx&
M \^TZ
AFLB DCMG\ WA@G
azhtkfki ~lzmkxkk`.
t k zldxk`gfl hcuchlh c`xa tlulzkf l{|kf`o|mmk` tlj|kb tlgc li~kx xl~kx sk` jkbkgck` sk`g tkik jltkz.
Hckgzki ;8;Zkokb ;8;
l ezkdxca` wbcdb zl~zltl`xt xbl tbkhlh
mkxkk` ~ldkbk` sk`g ilwkmcfc mkw zkokb cx|.
t xbl wlcgbx ae k dli~lhkm.mmk` jlzkx tljcoc dli~lhkm.
x& c` mg& ae xbl dli~lhkm1
hkfki mg& dli~lhkm xlztlj|x1
Hckgzki ;8:
Zkokb ;8:
4<
~kzxt.hcjkbkgcmk`
zlgca` ae xbl
tk` jlzfazlm
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G45
;84
;I
Wzcxl >.>5 icffca` c` wbafl `|ijlz.X|fct >.>5 o|xk hkfki `aijaz j|fkx.
;88
;I
Da`ulzx ;.>7 xa k icrlh `|ijlz.X|mkzmk` ;.>7 ml~khk `aijaz jlzdki~|z.
;8<
;I
Txkxl xbl hcgcx ukf|l ae 8 c` xbl `|ijlz 58 <4>@skxkmk` `cfkc hcgcx jkgc 8 hkfki `aijaz 58 <4>
;85
;I
<: >>> — 8 8>5 9
;87
;I
Txkxl >.:7 kt k ezkdxca`.@skxkmk` >.:7 ml~khk `aijaz ~ldkbk`
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G47
;82
;I
;2.8 — <.:7 9
;83
;I
Wzcxl ‖xbzll k`h ecul tcrxb’ c` `|ilzkft.X|fctmk` ‖ xcgk fcik ~lz l`ki’ hkfki k`gmk
;<>
;I
< >;2 — 53< 9
;<;
;I
Taful 235 ÷ 2 9 Tlfltkcmk` 235 ÷ 2 9
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G42
;<:
;I
Wzcxl ‖ eazxs)ecul xba|tk`h xbzll b|`hzlh lcgbx zc`ggcx k`h ecexs tl`’ c``|ilzkft.X|fctmk` ‖ li~kx ~|f|b fcik zcj| xcgk zkx|t fk~k` zc`ggcx hk` fcik ~|f|b tl`’ hkfki `aijaz.
;<4
;I
Da`ulzx >.>< xa k ~lzdl`xkgl.X|mkzmk` >.>< ml~khk ~lzkx|t
;<8
;I
Hckgzki ;<8 tbawt k dfadm ekdl.Zkokb ;<8 il`|`o|mmk` tkx| i|mk oki.
Hckgzki ;<8 ! Zkokb ;<8
Wzcxl xbl xcil c` xbl ;: —ba|z tstxli.X|fctmk` wkmx| xlztlj|x hkfki tctxli ;: oki
;<<
;I
<>> r ;> 9
;<5
;I
Lr~zltt;>
;kt k ~lzdl`xkgl.
@skxkmk` ;>
;tljkgkc ~lzkx|t.
:;?<>
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;<7
;I
Hckgzki ;<7 tbaZkokb ;<7 il`|
Wbkx ct bct blcgbJlzk~kmkb xc`ggc
;<2
;I
4 f :> if 9 QQQQQ
;<3
;I
Hckgzki ;<3 tbaZkokb ;<3 il`|
Wbkx ct xbl uaf|Jlzk~kmkb ctc~k
;5>
;I
:.2 mg - >.37 m
M \^TZ
AFLB DCMG\ WA@G
t Kfc–t blcgbx a` k ilkt|zc`g tdkfl. o|mmk` xc`ggc Kfc ~khk t|kx| kfkx ~l`g|
Hckgzki ;<7Zkokb ;<7
& c` di1Kfc& hkfki di1
Q QQQ if
t k jlkmlz ecfflh wcxb wkxlz. o|mmk` tlj|kb jcmkz sk`g hcctc hl`gk` k
Hckgzki ;<3Zkokb ;<3
l ae xbl wkxlz c` fcxzlt1| kcz hkfki fcxlz1
g 9
43
m|z.
cz.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G8>
;5;
;I
Hckgzki ;5; tbawt k `|ijlz fc`l.Zkokb ;5; il`|`o|mmk` tkx| gkzct `aijaz.
7
8M ;
Hckgzki ;5;! Zkokb ;5;
Txkxl xbl ukf|l ae M@skxkmk` `cfkc jkgc M
;5:
;I
74 >:< — 548 9
;54
;I
Lr~zltt<
2kt k icrlh `|ijlzt.
X|mkzmk` <
2ml~khk ̀ aijaz jlzdki~|z.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;58
;I
Hckgzki ;58 tbaZkokb ;58 il`|
Wbkx ct xbl wlcgbJlzk~kmkb jlzkx
;5<
;I
Txkxl xbl ~fkdl u
@skxkmk` `cfkc xl
;55
;I
Da`ulzx;>>>
85xa k
X|mkzmk` ;>>>
85m
M \^TZ
AFLB DCMG\ WA@G
xbl wlcgbx ae k ~kdmlx ae zcdl. o|mmk` jlzkx tl~lmlx jlzkt.
Hckgzki ;58Zkokb ;58
x c` g ae k ~kdmlx ae zcdl1 h kfki g tl~lmlx jlzkt cx|1
f|l ae xbl `|ilzkf 2 c` 32 >75.
~kx jkgc k`gmk 2 hkfki 32 >75.
hldcikf .
~khk ~lz~|f|bk`.
8;
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;57
;I
Hckgzki ;57 tba
Zkokb ;57 il`|
Txkxl xbl fl`gxb& c
@skxkmk` ~k`ok`
;52
;I
;2 8>> — 8 4<4
;53
;I
Ec`h xbl ~zah|dxMczk bktcf hkzkj
;7>
;I
Da`ulzx 87
;>>>
X|mkzmk` 8 7
;>>>
M \^TZ
AFLB DCMG\ WA@G
t xbl fl`gxb ae k ~l`dcf.
o|mmk` ~k`ok`g tljkxk`g ~l`tlf.
` di& ae xbl ~l`dcf.
g& hkfki di& ~l`tlf cx|.
9
e 7>> k`h ;>>kgc 7>> hk` ;>>.
c`xa hldcikf .
ml~khk ~lz~|f|bk`
Hckgzki ;57
Zkokb ;57
8:
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G84
;7;
;I
Txkxl c` `|ilzkf@skxkmk` hkfki k`gmk.
;7:
;I
Hckgzki ;7: tbawt t{|kzlt ae l{|kf tcl.
Zkokb ;7: il`|`o|mmk` tlgc li~kx tkik sk`g tkik jltkz.
Hckgzki ;7:
Zkokb ;7:
Wzcxl c` ezkdxca` wbcdb zl~zltl`xt xbl tbkhlh zlgca`
ae xbl wbafl hckgzkiX|fct hkfki ~ldkbk` sk`g ilwkmcfc mkwktk` jlzfazlm hkzc~khk tlf|z|b zkokb cx|
;74
;I
Hckgzki ;74 tbawt _kc–t jlh xcil.
Zkokb ;74 il`|`o|mmk` wkmx| xch|z _kc.
Hckgzki ;74Zkokb;7 4
Wzcxl xbl xcil c` xbl :8)ba|z tstxliX|fct wkmx| cx| hkfki tctxli :8 oki
Xwa ~ac`x ea|z tcr `c`l
H|k ~lz~|f|bk` li~kx l`ki tlijcfk`
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G88
;78
;I
Txkxl xbl hcgcx ukf|l ae < c` xbl `|ijlz <4 >;>@skxkmk` `cfkc hcgcx jkgc < hkfki `aijaz <4 >;>.
;7< .Hckgzki ;7< tbawt k ~szkichZkokb ;7< il`|`o|mmk` tlj|kb ~czkich.
Hckgzki ;7<Zkokb ;7<
Txkxl xbl `|ijlz ae ulzxcdlt@skxkmk` jcfk`gk` j|d|.
;75
;I
Lr~zltt <75 kt k` ci~za~lz ezkdxca`.
@skxkmk` < 7
5tljkgkc ~ldkbk` xkm wkokz.
;77
;I
Txkxl;>>
54kt k ~lzdl`xkgl.
@skxkmk` ;>>
54tljkgkc ~lzkx|t.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G8<
;>> if
:>> if
;72
;I
:7.>8 mi 9 ............ i
;73
;I
Wzcxl ‖xwa k`h a`l ecexb’ c` `|ilzkf.X|fctmk` ’h|k tkx| ~lz fcik’ hkfki k`gmk
;2>
;I
<27 - 4 48< 9
;2;
;I
Hckgzki ;2; tbawt xbl uaf|il ae wkxlz c` k jlkmlz.
Zkokb ;2; il`|`o|mmk` ctc~kh| kcz hc hkfki tlj|kb jcmkz.
Wbkx ct xbl uaf|il& c` if& ae xbl wkxlz1
Jlzk~kmkb ctc~kh|& hkfki if& kcz xlztlj|x1
Hckgzki ;2;
Zkokb ;2;
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G85
;2:
;I
Txkxl xbl ~fkdl ukf|l ae < c` xbl hldcikf 2:.<88@skxkmk` `cfkc xli~kx jkgc < hkfki `aijaz ~lz~|f|bk` 2:.<88
;24
;I
Za|`h ae ;7 <85 xa xbl ̀ lkzltx xba|tk`h.J|`hkzmk` ;7 <85 ml~khk zcj| sk`g xlzhlmkx.
;28
;I
Hckgzki ;28 tbawt k `|ijlz fc`l.
Zkokb ;28 il`|`o|mmk` tkx| gkzct ̀ aijaz.
^2
7;
Hckgzki ;28Zkokb ;28
Txkxl xbl ukf|l ae ^@skxkmk` `cfkc ^.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G87
;2<
;I
Txkxl xbl `|ijlz ae ulzxcdlt ae dsfc`hlz
@skxkmk` jcfk`gk` j|d| jkgc tlj|kb tcfc`hlz.
;25
;I
Ec`h xbl xaxkf ae 425 k`h ;: 3>7.
Dkzc o|ifkb 425 hk` ;: 3>7.
;27
;I
Txkxl xbl ~fkdl ukf|l ae xbl `|ilzkf 8 c` xbl `|ijlz 84 :<5
@skxkmk` `cfkc xli~kx jkgc k`gmk 8 hkfki `aijaz 84 :<5.
;22
5> r ;<7 9
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKXCM \^TZ
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C AFLB DCMG\ WA@G82
;23 Wzcxl ‖ xbzll b|`hzlh ea|z xba|tk`h k`h tcrxll`’ c` `|ilzkft.
X|fct ‖ xcgk zkx|t li~kx zcj| l`ki jlfkt’ hkfki k`gmk.
;3>
;I
Da`ulzx 8.>7 xa k icrlh `|ijlz
X|mkzmk` 8.>7 ml~khk `aijaz jlzdki~|z.
;3;
;I
Lr~zltt:>
;5c` cxt tci~fltx eazi
X|mkzmk` :>
;5hkfki jl`x|m xlzi|hkb.
;3:
;I
Za|`h aee 7:.8<2 xa : hldcikf ~fkdlt
J|`hkzmk` 7:.8<2 ml~khk : xli~kx ~lz~|f|bk`.
7/30/2019 Modul 1 markah
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;34
;I
Hckgzki ;34 da`
Zkokb ;34 xlzhczc
jltkz.
A` xbl hckgzki&
F|mctmk` tlj|kb
;38
;I
Wzcxl >.5< icffca`
X|fctmk` >.5< o|x
;3<
;I
>.;45 ÷ 8 9
M \^TZ
AFLB DCMG\ WA@G
ctxt ae tlulzkf t{|kzlt ae l{|kf tcl.
kzc~khk ~lxkm)~lxkm tlgcli~kx tkik s
Hckgzki ;34! Zkokb ;34
zkw k` ctatdlflt xzck`gfl.
tlgcxcgk mkmc tkik hkfki zkokb xlztlj|x.
c` `|ilzkft
hkfki k`gmk
83
`g tkik
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
HCXKC^ HK@ HCMLIKTMC@C
;35
;I
Da`ulzx ;27, xa
X|mkzmk` ;27 ,
;37
;I
Txkxl 7:, kt k h@skxkmk` 7: ,
;32
;I
Hckgzki ;32 da`A` xbl hckgzki&
Zkokb ;32 xlzhczc
jltkz. ^khk zkok
M \^TZ
AFLB DCMG\ WA@G
k icrlh `|ijlz
l~khk `aijaz jlzdki~|z.
dcikftljkgkc `aijaz ~lz~|f|bk` .
ctxt ae tlulzkf t{|kzlt ae l{|kf tcl.zkw k zcgbx)k`gflh xzck`gfl.
kzc~khk jljlzk~k ~lxkm tlgc li~kx tk
cx|& f|mctmk` tlj|kb tlgc xcgk jlzt|h|x
Hckgzki ;32 ! Zkokb ;32
<>
k sk`g tkik
xlgkm.
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DA@XAB TAKFK@ IKXLIKX
IKZMKB ;
;33
;I
:8 235 - ;24 ;
:>>
;I
Hckgzki :>> tbaZkokb :>> il`|
Wzcxl xbl xcil c`
X|fctmk` wkmx| cx
M \^TZ
>8 9
t xbl xcil Kbikh zlkdblt bail ezai t o|mmk` wkmx| Kbikh xcjk hc z|ikb hkzc
Hckgzki :>>Zkokb :>>
: ba|z tstxli
hkfki tstxli ;: oki
XKIKX TAKFK@
TLFKIKX JLZOKSK
dbaaf .lmafkb`sk.
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