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; &; |g 2$ De bk`f {bp|dge |fbrb dp k ehobr
pbrdbp yd|f geb |brh hdppdei pfgye ot {bp|dge
hkrm &7$% \fdp dp geb ga |fb kc|brek|dqbp khgei
|fb agr ehobrp idqbe elbr d|% \fk| ehobr dp(
;% 0# 1# ;0# ?1#
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8/8/2019 MAT Paper 08 Raj.
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;2Zrb(agelk|dge @krbbr @krb Zrgirkhhbp &Z@@Z$ Ldqdpdge ;2
;?% MHGE# EZ_[# &7$# \QVY# YTK^
&K$ [PR\ &O$ [\RP
&@$ RYTV &L$ PRYQ
;0% I_Z\# FP[P# D\__# &7$# MQ\Z# CYRG
&K$ RPN[ &O$ [PRN
&@$ NP[_ &L$ NRP[
; &;1 |g ?:$ De bk`f ga |fb agccgydei {bp|dgep
|fbrb bvdp|p k rbck|dgepfdz ob|ybbe |fb adrp| |yg
|brhp% \fb pkhb rbck|dgepfdz bvdp|p de |fb g|fbr
pb| ga |brhp% \fb hdppdei |brh &7$% dp ge|kdeblde |fb agr kc|brek|dqbp# idqbe obcgy |fb {bp|dge%
\fb grrb`| kc|brek|dqb dp (
;1% CG[ > INC > > &7$ > KLA
&K$ OBI &O$ ADM
&@$ ZPY &L$ @BI
;9% O@B > AIH > > KOL > &7$
&K$ BLM &O$ LBF
&@$ BAC &L$ @OK
;6% LBA > DMH > > EGZ > &7$&K$ RQV &O$ PRY
&@$ IFD &L$ RPY
;4% \ZQGB > RGYEA > > ZGDPB > &7$
&K$ [E\FA &O$ [NE_A
&@$ [Z\NT &L$ [EN_A
?:% BIDM > FNCE > > PRYT > &7$
&K$ QV^O &O$ QVO^
&@$ QOV^ &L$ Q^VO
Ldrb`|dgep > &?; |g ?2$ G| ga edeb bccp ga k p{krb geb`bcc dp cba| ockem# kel de |fb rbp| ga |fb `bccp
ehobrp krb yrd||be yfd`f agccgy pghb rcb% Ib|
|fb rcb kel adel |fb zrgzbr gz|dge agr |fb ockem
`bcc &7$%
?;%1 ?; 01
4 INC > > &7$ > KLA
&K$ OBI &O$ BDM
&@$ ZPY &L$ @BI
;9% O@B > AIH > > KOL > &7$
&K$ BLM &O$ LBF
&@$ BAC &L$ @OK
;6% LBA > DMH > > EGZ > &7$
&K$ RQV &O$ PRY
&@$ IFD &L$ RPY
;4% \ZQGB > RGYEA > > ZGDPB > &7$
&K$ [E\FA &O$ [NE_A
&@$ [Z\NT &L$ [EN_A
?:% BIDM > FNCE > > PRYT > &7$
&K$ QV^O &O$ QVO^
&@$ QOV^ &L$ Q^VO
aep^)m > &?; cp ?2$ gv^ lp mP ]m%Hmpk bpk cp #l ]m%H- ]mmtfEmpH-m v=m iPk rAmm )mp/m ]m%H-mpk bpk ck]=m#pk at]mf vo^ iPkK
|mp alcf aga)m/O a=b lm dmt lnrf iPkK hc a=b
lmp 3ya3#pk qmPn ]mmtf ]m%H-&7$ lp at# hazr aglTd
Mmr lfa|#K
?;%1 ?; 01
4
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8/8/2019 MAT Paper 08 Raj.
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;1Zrb(agelk|dge @krbbr @krb Zrgirkhhbp &Z@@Z$ Ldqdpdge ;1
??%0 2 ;1
9 4 0?
;; ;0 &7$
&K$
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;9Zrb(agelk|dge @krbbr @krb Zrgirkhhbp &Z@@Z$ Ldqdpdge ;9
?4% 2 ? 79 ;0 ;2< 1 6
;: ;? ;1
1 4 ;:
&K$ 0 &O$ ?
&@$ 2 &L$
yfd`f krb rbck|bl de pghb ykt% \fb pkhb
rbck|dgepfdz bvdp|p ob|ybbe |fb |fdrl irgz kel
|fb geb hdppdei |brh deld`k|bl ot k ockem pzk`b
yd|f k {bp|dge hkrmp &7$% Yd|f |fb fbcz ga |fb
idqbe ztrkhdl# adel |fb hdppdei irgz de bk`f
{bp|dge khgeip| |fb agr kc|brek|dqbp idqbe
elbr d|%
;? 0 _kt > 7
&K$ Lkrmebpp &O$ |g pbb
&@$ Cdif| &L$ |g fbkr
Ldrb`|dgep > &91 |g 6:$ \yg pb|p ga |fb adirbp krb idqbe%
Geb pb| ga {bp|dge(adirbp kel keg|fbr pb| dp
ga kepybr(adirbp% [bp|dge(adirbp krb krrkeibl
de k pb{be`b% Geb adirb argh |fb kepybr(
adirbp dp |g ob pbcb`|bl p`f |fk| d| `ke ob
zck`bl ka|br |fb pbrdbp ga {bp|dge(adirbp% Adel
|fb grrb`| pbrdkc ehobr ga |fb pbcb`|bl kepybr(adirb%
91% [bp|dge(adirbp
-
--
---
Kepybr(adirbp
&K$ &O$ &@$ &L$
--
----
----
---
9:% aBmkalr qkl Npk%mf bpk #pcp alrp ) aln%m > 7
&K$qk'mpnm &O$ ep]mm
&@$ d~lm)m &L$c{m
aep^)m > &91 cp 6:$ az8mmpk lp emp cbyi ae# v# iPkK #l cbyi
d~)!az8m rAmm e{cnm hmn az8m lm iPkK d~)!az8mmpk lmp
alcf #l b bpk G=gaCAmr al=m v=m iPkK hmn!az8mmpk
bpk cp #pcp #l az8m lm z= lnm iPk |mp d~ )!az8m bpk
bm{cmn qmvp |mpH-m |m clpK z=ar hmn!az8m lm
cif bmkl Mmr lfa|#K
91% d~)!qmljar
-
--
---
hmn!qmljar
&K$ &O$ &@$ &L$
--
----
----
---
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8/8/2019 MAT Paper 08 Raj.
11/13
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8/8/2019 MAT Paper 08 Raj.
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?>>
Kepybr(adirbp
&K$ &O$ &@$ &L$
6;% d~)!qmljar
7
hmn!qmljar
&K$ &O$ &@$ &L$
6?% d~)!qmljar
7
hmn!qmljar
&K$ &O$ &@$ &L$
60% d~)!qmljar
7
hmn!qmljar
&K$ &O$ &@$ &L$
6 >>>
hmn!qmljar
&K$ &O$ &@$ &L$
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8/8/2019 MAT Paper 08 Raj.
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?2Zrb(agelk|dge @krbbr @krb Zrgirkhhbp &Z@@Z$ Ldqdpdge ?2
62% [bp|dge(adirbp
v v
7> >>>
Kepybr(adirbp
&K$ &O$ &@$ &L$
v
Ldrb`|dgep > &61 |g 4:$ De bk`f {bp|dge agr adirbp krb
idqbe% Geb ga |fbh lgbp eg| grrbck|b yd|f |fb
rbp|% Adel |fb ldaabrbe| adirb%
61%
&K$ &O$ &@$ &L$
69%
&K$ &O$ &@$ &L$
66%
&K$ &O$ &@$ &L$
64%
&K$ &O$ &@$ &L$
4:%
&K$ &O$ &@$ &L$
62% d~)!qmljar
v v
7> >>>
hmn!qmljar
&K$ &O$ &@$ &L$
v
aep^)m> &61 cp 4:$d~_=pl d~) bpk zmn az8m ae=p v=p iPkK a|bpk
cp #l az8m qR= cp bpt ifk ]mmrm iPkK aFmR az8m lm
drm tvmo#K
61%
&K$ &O$ &@$ &L$
69%
&K$ &O$ &@$ &L$
66%
&K$ &O$ &@$ &L$
64%
&K$ &O$ &@$ &L$
4:%
&K$ &O$ &@$ &L$
