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8/8/2019 MAT Paper 09 Raj,
1/15
8/8/2019 MAT Paper 09 Raj,
2/15
=>Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida =>
Niphf~idav < "= ~d 8) Ia hmfb }xhv~ida ~bhph iv m axk`hp
vhpihv wi~b dah ~hpk kivviag/ wbifb iv vbdwa
`y }xhv~ida kmpj "4)! Cian ~bh kivviag ~hpk dx~
dc ~bh gisha mo~hpam~ishv!
=! >/ =5/ 06/ 85/ =58/ 4
"M) 0=8 "@) 0=5
"F) 0=3 "N) >69
0! 9=0/ 656/ =50/ 66/ 4/ 6/ 0
"M) =0 "@) =5
"F) 2 "N) 3
6! =/ >/ 9/ 4/ 08/ 63
"M) == "@) =9
"F) 0= "N) =3
>! 7/ =0/ 00/ 67/ 4/ 20/ ==0
"M) 30 "@) 87
"F) 80 "N) >0
8! ==/ =6/ =7/ =9/ 4/ 08
"M) 05 "@) 0=
"F) 06 "N) 00
Niphf~idav < "3 ~d =5) Ia hmfb }xhv~ida ~bhph iv m axk`hpvhpihv wi~b dah iafdpphf~ ~hpk! Cian dx~ ~bh
iafdpphf~ ~hpk dx~ dc ~bh gisha mo~hpam~ishv!
3! 6/ 9/ 07/ 20/ 0>6
"M) 07 "@) 8>
"F) 20 "N) =30
7! 8/ 9/ =7/ 68/ 38/ =09
"M) 38 "@) 68
"F) =7 "N) 9
2! =/ 8/ 3/ ==/ =7/ 07/ >8/ 76
"M) 07 "@) >8
"F) =7 "N) ==
9! 6/ 3/ ==/ =2/ 02/ 62/ 8=/ 33
"M) =2 "@) 02
"F) 62 "N) 8=
=5! 605/ 08>/ 055/ =88/ =00/ =55/ 29
"M) =88 "@) 605
"F) 08> "N) 055
cxav\'j < "=ov8)i|P:vn i|'x hvm /n omZ:j Lv!jb ab r \ gV[ c~ohvm
/n ia rj:f gV[ c~ov i|'x owun cugqx "4) ov a'jj\pj
r:j gVM ca/ r/ cdnYijvm hvm ov rj:f ia njv Jjp
nbc~/M=! >/ =5/ 06/ 85/ =58/ 4
"M) 0=8 "@) 0=5
"F) 0=3 "N) >69
0! 9=0/ 656/ =50/ 66/ 4/ 6/ 0
"M) =0 "@) =5
"F) 2 "N) 3
6! =/ >/ 9/ 4/ 08/ 63
"M) == "@) =9"F) 0= "N) =3
>! 7/ =0/ 00/ 67/ 4/ 20/ ==0
"M) 30 "@) 87
"F) 80 "N) >0
8! ==/ =6/ =7/ =9/ 4/ 08
"M) 05 "@) 0=
"F) 06 "N) 00
cxav\'j < "3 ov=5)i|P:vn i|'x hvm /nsmn Lv!jb gV c~ohvm /n ia
s'j}) gVM s'j}) ia njv ca/r/ cdnYijvm hvm ov Zjjvc~/M
3! 6/ 9/ 07/ 20/ 0>6
"M) 07 "@) 8>
"F) 20 "N) =30
7! 8/ 9/ =7/ 68/ 38/ =09
"M) 38 "@) 68
"F) =7 "N) 9
2! =/ 8/ 3/ ==/ =7/ 07/ >8/ 76
"M) 07 "@) >8
"F) =7 "N) ==
9! 6/ 3/ ==/ =2/ 02/ 62/ 8=/ 33
"M) =2 "@) 02
"F) 62 "N) 8=
=5! 605/ 08>/ 055/ =88/ =00/ =55/ 29
"M) =88 "@) 605
"F) 08> "N) 055
PMLMV^BMAT A^VH+V^MGH+I "YHMP
8/8/2019 MAT Paper 09 Raj,
3/15
=8Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida =8
Niphf~idav < "== ~d =8) Ia hmfb }xhv~ida ~bhph iv m oh~~hp
vhpihv wi~b dah ~hpk kivviag wbifb iv vbdwa
`y }xhv~ida kmpj "4)! Cian ~bh kivviag ~hpk dx~
dc ~bh gisha mo~hpam~ishv!
==! FGLO/ CLKD/ IKUP/ OUVX/ 4
"M) DPXW "@) DVSR
"F) LKUP "N) JDPV
=0! MNFG/ 4/ LKOU/ ]^VW/ XRWM
"M) UVPS "@) U^VS
"F) UPSV "N) USPV
=6! 4/ FMCB/ YW@N/ XVR\/ ]D^S
"M) GHOL "@) IAOA
"F) GHLO "N) UVAU
=>! MY@R/ HXC^/ I]LU/ KKAO/ 4
"M) ]IPB "@) AODJ
"F) GVBP "N) UL]I
=8! U]KA/ ADJO/ OKIL/ 4/ BIHC
"M) JOBI "@) KALJ
"F) GBIL "N) LJGB
Niphf~idav < "=3 ~d 05) Ia hmfb }xhv~ida ~bhph mph cdxp
vh~v dc oh~~hpv! Dah vh~ iv nicchpha~ cpdk ~bh phv~
~bphh ia vdkh wmy dp ~bh d~bhp! Cian dx~ ~biv
nicchpha~ vh~!
=3! "M) KUS "@) UVY
"F) W\C "N) \FB
=7! "M) HGJ "@) OAV
"F) VXY "N) \@C
=2! "M) @CO "@) HID
"F) BOU "N) JDX
=9! "M) OUFG "@) GJBO
"F) @CK] "N) MHDI
05! "M) HABD "@) GOBK
"F) ILLJ "N) JBOI
Niphf~idav < "0= ~d 08) Ia hmfb }xhv~ida ~bhph iv m
phom~idavbiu `h~whha cipv~ ~wd ~hpkv! Vmkh
phom~idavbiu hriv~v ia ~bh ahr~ ~wd ~hpkv! @omaj
~hpk "4) iv dx~ dc ~bh cdxp mo~hpam~ishv gisha hodw!
Cian ~bh fdpphf~ mo~hpam~ish!
0=! HGIJ < BLOA < < VXWY < 4
"M) SR\@ "@) SR@\
"F) S@R\ "N) S\R@
00! NCGH < IJOL < < AU]D < 4
"M) V^SX "@) VX^S"F) VXS^ "N) VS^X
cxav\'j < "== ov =8) i|P:vn i|'x hvm /n szjl Lv!jb ab r`\ gV[
c~ohvm /n ia rj:f gVm c~ov i|'x cugqx "4)!ov a'jj\:j
r:j gV ca/ r/ cdnYijvm hvm ov rj:f ia njv Jjp
nbc~/M
==! FGLO/ CLKD/ IKUP/ OUVX/ 4
"M) DPXW "@) DVSR
"F) LKUP "N) JDPV
=0! MNFG/ 4/ LKOU/ ]^VW/ XRWM
"M) UVPS "@) U^VS
"F) UPSV "N) USPV
=6! 4/ FMCB/ YW@N/ XVR\/ ]D^S
"M) GHOL "@) IAOA
"F) GHLO "N) UVAU
=>! MY@R/ HXC^/ I]LU/ KKAO/ 4
"M) ]IPB "@) AODJ
"F) GVBP "N) UL]I
=8! U]KA/ ADJO/ OKIL/ 4/ BIHC
"M) JOBI "@) KALJ
"F) GBIL "N) LJGB
cxav\'j < "=3 ov 05) i|P:vn i|'x hvm szjljvm nv ujl ohwg gVmM /n
ohwg 'jv"j pbx ov cnob x cnob aec"S ov cBjXx gVM o
cBjXx ohwg njv ?wc?/M
=3! "M) KUS "@) UVY
"F) W\C "N) \FB
=7! "M) HGJ "@) OAV
"F) VXY "N) \@C
=2! "M) @CO "@) HID
"F) BOU "N) JDX
=9! "M) OUFG "@) GJBO
"F) @CK] "N) MHDI
05! "M) HABD "@) GOBK
"F) ILLJ "N) JBOI
cxav\'j < "0= ov 08)i|P:vn i|'x hvm i|Cjh ajv iajvm nv fbu n}A
oHfX$j gVM awolv iajvm hvm dgb oHfX$j cdhjx gVM clNp
ia "4) xbuv ca/ r/ ujl cdnYijvm hvm ov /n gVM ogb
cdnYi Jjp nbc~/M
0=! HGIJ < BLOA < < VXWY < 4
"M) SR\@ "@) SR@\
"F) S@R\ "N) S\R@
00! NCGH < IJOL < < AU]D < 4
"M) V^SX "@) VX^S"F) VXS^ "N) VS^X
8/8/2019 MAT Paper 09 Raj,
4/15
=3Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida =3
06! nIj < gOa < < d^s < 4
"M) cJk "@) pWy
"F) uXw "N) PwY
0>! M@F < @FN < U]P < 4
"M) P]V "@) VP]
"F) ]PV "N) P]U
08! KJig < lbCN < < PUao < 4
"M) DKji "@) dKJi
"F) DkjI "N) dkJI
Niphf~idav < "03 ~d 65) Hmfb }xhv~ida iv mvhn da oh~~hp
vhpihv ia wbifb vdkh oh~~hpv mph kivviag! Ia ~bh
gisha du~idav kivviag oh~~hp iv gisha ia upduhp
vh}xhafh! Vhohf~ ~bh fdpphf~ du~ida dc hmfb
}xhv~ida!
03! `f T ` T f T ` T ff`
"M) f`f` "@) f`
"F) f``f "N) f`f
07! m` T `mm T f` T m` T `m
"M) fmf` "@) mf`
"F) f`mf "N) m`f`
02! m` T `m T m`m` T T
"M) mmmm "@) m``
"F) mm`m "N) mmm`
09! T `f T T `` T mm`f
"M) mfmf "@) m`f
"F) m`m` "N) mmff
65! m` T `fm T m T m T f
"M) m``m "@) ff``
"F) mf` "N) m`ff
Niphf~idav < "6= ~d 68) Iavinh$Dx~vinh ~bh fipfoh/ fhp~mia
axk`hpv mph gisha mffdpniag ~d m ump~ifxomp pxoh!
Ia hmfb }xhv~ida iavinh$dx~vinh ~bh fipfoh/ ~bhph
iv m }xhv~ida kmpj "4) gisha! Vhohf~ ~bh fdpphf~
mavwhp cdp ~bh vumfh kmpjhn 4
6=! 3 7 43 8 76 > 6
> 8 3
8 6 >
"M) > "@) 9
"F) 3 "N) 2
06! nIj < gOa < < d^s < 4
"M) cJk "@) pWy
"F) uXw "N) PwY
0>! M@F < @FN < U]P < 4
"M) P]V "@) VP]
"F) ]PV "N) P]U
08! KJig < lbCN < < PUao < 4
"M) DKji "@) dKJi
"F) DkjI "N) dkJI
cxav\'j < "03 ov65)i|P:vn i|'x szjl Lv!jb il sj$jjclp gV c~xhvm
n}A szjl rj:f gVmM ca/ r/ cdnYijvm hvm rj:f szjl ob
h hvm ca:j r:j gVM gl i|'x nj ogb cdnYi ?wc?/M
03! `f T ` T f T ` T ff`
"M) f`f` "@) f`
"F) f``f "N) f`f
07! m` T `mm T f` T m` T `m
"M) fmf` "@) mf`
"F) f`mf "N) m`f`
02! m` T `m T m`m` T T
"M) mmmm "@) m``
"F) mm`m "N) mmm`
09! T `f T T `` T mm`f
"M) mfmf "@) m`f
"F) m`m` "N) mmff
65! m` T `fm T m T m T f
"M) m``m "@) ff``
"F) mf` "N) m`ff
cxav\'j < "6= ov68)dej nv sXal E fjgl cd'jv"j cx:h {jlj n}A
omZ:j/m ab r \ gVmM i|P:vn i|'x hvm dej nv sXal E fjgl
/n i|'x cugqx "4) ca:j r:j gVM i|'x cugqx nv OCjjxnv cy/ ogb kjl u}cx/M
6=! 3 7 43 8 76 > 6
> 8 3
8 6 >
"M) > "@) 9
"F) 3 "N) 2
8/8/2019 MAT Paper 09 Raj,
5/15
=7Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida =7
60! 8 7 33 9 4> =2 =6
2 =0 ==
7 =5 7
"M) 9 "@) 2
"F) 3 "N) 8
66! 6 > 8> 3 22 =5 =0
0 > 3
3 2 4
"M) 03 "@) 05
"F) == "N) =5
6>! => =7 0=9 = 908 >9 >
> 63 4
=3 9 63
"M) 3> "@) =55
"F) 2= "N) =>>
68! =5 == 460 67 890> 65 >8
05 08 >=
02 66 88
"M) => "@) =6
"F) =0 "N) ==
Niphf~idav < "63 ~d >5) Dx~ dc aiah fhoov dc m v}xmph dah
fhoo iv ohc~ omaj! Ia ~bh phv~ dc ~bh fhoov axk`hpv
mph wpi~~ha wbifb cdoodw vdkh pxoh! Gh~ ~bh pxoh
man cian ~bh vxi~m`oh du~ida cdp omaj fhoo!
63!
0 6 60
= 7 7=
9 = 4
"M) 06 "@) =56
"F) 9= "N) =9
67!06 >2 08
>3 90 4
6= 35 09
"M) 8> "@) >
"F) >3 "N) =62
62!6 8 >
2 => ==
08 4 6>
"M) >> "@) >6
"F) >0 "N) >=
60! 8 7 33 9 4> =2 =6
2 =0 ==
7 =5 7
"M) 9 "@) 2
"F) 3 "N) 8
66! 6 > 8> 3 22 =5 =0
0 > 3
3 2 4
"M) 03 "@) 05
"F) == "N) =5
6>! => =7 0=9 = 908 >9 >
> 63 4
=3 9 63
"M) 3> "@) =55
"F) 2= "N) =>>
68! =5 == 460 67 890> 65 >8
05 08 >=
02 66 88
"M) => "@) =6
"F) =0 "N) ==
cxav\'j < "63 ov>5)dr\ nv xjV Zj!Kjvm hvm ov /n Zj!K Zjjyb AjvK*j
r:j gVM 'jv"j Zj!Kjvm hvm omZ:j/m cyZjb r`\ gVm ~jv cnob
cdc'j"@ cx:h nj ijyx nlpb gVmM ko cx:h njv ?wWc?/sjVl Zjjyb Zj!K nv cy/ kcup cdnYi Jjp nbc~/M
63!
0 6 60
= 7 7=
9 = 4
"M) 06 "@) =56
"F) 9= "N) =9
67! 06 >2 08
>3 90 4
6= 35 09
"M) 8> "@) >
"F) >3 "N) =62
62!6 8 >
2 => ==
08 4 6>
"M) >> "@) >6
"F) >0 "N) >=
8/8/2019 MAT Paper 09 Raj,
6/15
=2Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida =2
69!65 8 06
4
0
6
2
7
03
"M) 66 "@) 62
"F) 08 "N) 07
>5!
4 6= 8
>7 == 06
=7 0 >=
"M) 89 "@) 86
"F) >6 "N) 67
Niphf~idav < ">= ~d >8) Ia hmfb }xhv~ida ~bhph iv vdkh
phom~ida `h~whha ~bh cipv~ ~wd ~hpkv! Vmkh
phom~idavbiu hriv~v ia ~bh ahr~ ~wd ~hpkv! ^bh
kivviag ~hpk "4) iv dx~ dc ~bh du~idav gisha hodw!Cian ~bh fdpphf~ du~ida!
>=! 3> < =3 < < 07 < 4
"M) = "@) >
"F) 2 "N) 9
>0! 9 < =08 < < =3 < 4
"M) 0=3 "@) 0=5
"F) 05> "N) =92
>6! 3 < 4 < < 05 < =65
"M) 0> "@) 65
"F) 63 "N) >5
>>! 4 < 3 < < =0 < 05
"M) 5 "@) 0
"F) 6 "N) >
>8! =5 < 03 < < 85 < 4
"M) =>0 "@) =60
"F) =00 "N) ==0
Niphf~idav < ">3 ~d 85) Mffdpniag ~d m fdnh omagxmgh/wdpnv ia fdoxka I mph gisha ia fdoxka II! Nhfdnh
~bh omagxmgh man fbddvh ~bh fdpphf~ fdnh cdp
hmfb dc ~bh wdpnv gisha ia ~bh cdoodwiag
}xhv~idav!
Fdoxka+I Fdoxka+II
VH^ yrg
VIGA urpj
UD^ ykm
AIAH jguj
PDVH rgmh
69!65 8 06
4
0
6
2
7
03
"M) 66 "@) 62
"F) 08 "N) 07
>5!
4 6= 8
>7 == 06
=7 0 >=
"M) 89 "@) 86
"F) >6 "N) 67
cxav\'j < ">= ov >8)i|P:vn i|'x hvm i|Cjh ajv iajvm nv h$: n}A
oHfX$j gVM awolv iajvm hvm Bjb dgb oHfX$j cdhjx gVM
rj:f ia "4) xbu ca/ r/ cdnYijvm hvm ov /n gVM ogb
cdnYi Jjp cnc~/M
>=! 3> < =3 < < 07 < 4
"M) = "@) >
"F) 2 "N) 9
>0! 9 < =08 < < =3 < 4
"M) 0=3 "@) 0=5
"F) 05> "N) =92
>6! 3 < 4 < < 05 < =65"M) 0> "@) 65
"F) 63 "N) >5
>>! 4 < 3 < < =0 < 05
"M) 5 "@) 0
"F) 6 "N) >
>8! =5 < 03 < < 85 < 4
"M) =>0 "@) =60
"F) =00 "N) ==0
cxav\'j< ">3
ov85)OpHBj hvm kcYycZjp szjljvm njv ojmnvcpn Bjj"jj
nv sj$jjl il OpHBj hvm cyZjj r:j gVM o ojmnvcpn Bjj"jj
njv igujcx/ sjVl xbuv ca/ r/ i|'xjvm nb ogb ojmnvcpn
Bjj"jj njv ?wc?/M
OpHBj+I OpHBj+II
VH^ yrg
VIGA urpj
UD^ ykm
AIAH jguj
PDVH rgmh
8/8/2019 MAT Paper 09 Raj,
7/15
=9Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida =9
>3! fdnh cdp oh~~hpv ia ~bh wdpn V^DAH mph +
"M) jgrku "@) mjygr
"F) myrjp "N) mgryu
>7! fdnh cdp oh~~hpv ia ~bh wdpn UPIA^ mph +
"M) khjrp "@) hujym
"F) huyjk "N) hugkj
>2! fdnh cdp oh~~hpv ia ~bh wdpn GPDVV mph +
"M) pmmhr "@) hrrku
"F) rhppg "N) mrphr
>9! fdnh cdp oh~~hpv ia ~bh wdpn VDDA mph +
"M) jrrm "@) rjuu
"F) mmjr "N) jjmp
85! fdnh cdp oh~~hpv ia ~bh wdpn HA mph +
"M) jgy "@) gjp
"F) yjk "N) hyg
Niphf~idav < "8= ~d 86) Ia hmfb }xhv~ida ~bhph mph cdxp
~hpkv "Axk`hpv)! Dx~ dc wbifb ~bphh mph moijh
`y vdkh wmy dp d~bhp man dah iv nicchpha~ cpdk
~bhk! Wpi~h ~bh fdpphf~ du~ida dc ~bh nicchpha~
~hpk!
8=! "M) =500 "@) 0=50
"F) 0550 "N) 6550
80! "M) =3 + 93 "@) 0= + =03
"F) =6 + 72 "N) => + 75
86! "M) >832 "@) 3729
"F) 06>8 "N) 8372
Niphf~idav < "8> ~d 83) Ia ~bh cdoodwiag }xhv~idav ~wd
cigxphv mph gisha mv upd`ohk cigxphv! Wbifb dc
~bh cdoodwiag mo~hpam~ish cigxphv wdxon h cdpkhn
ic ~bh cipv~ cigxph iv vxuhpiaudvhn da ~bh vhfdan
cigxph 4
8>!
"M) "@)
"F) "N)
>3! V^DAH nv cy/ i|:}Np omnvpjzjl gVm
"M) jgrku "@) mjygr
"F) myrjp "N) mgryu
>7! UPIA^ nv cy/ i|:} omnvpjzjl gVm
"M) khjrp "@) hujym
"F) huyjk "N) hugkj
>2! GPDVV nv cy/ i|:}Np omnvpjzjl gVm
"M) pmmhr "@) hrrku
"F) rhppg "N) mrphr
>9! VDDA nv cy/ i|:} omnvpjzjl gVm
"M) jrrm "@) rjuu
"F) mmjr "N) jjmp
85! ^HA nv cy/ i|:}Np omnvpjzjl gVm +
"M) jgy "@) gjp
"F) yjk "N) hyg
cxav\'j < "8= ov 86)i|P:vn i|'x hvm ujl ia omZ:j/m gVmM c~xhvm
pbx cnob x cnob + 75
86! "M) >832 "@) 3729
"F) 06>8 "N) 8372
cxav\'j < "8> ov 83)cxHxcycZjp i|'xjvm hvm ajv i|'x sjcp:j ab
r`\ gVmM :ca i|Cjh sjcp njv c{pb: sjcp il
s$:jljvcip il lZjxj nl ab ~j/ pjv cxHxmcnp
dVncYin sjcp:jvm hvm ov njVxob fxvrb 4
8>!
"M) "@)
"F) "N)
8/8/2019 MAT Paper 09 Raj,
8/15
05Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 05
88!
"M) "@)
"F) "N)
83!
"M) "@)
"F) "N)
Niphf~idav < "87 ~d 89) Gisha }xhv~idav mph `mvhn da
~bh mppmaghkha~ dc axk`hpv = ~d >9 ia ~bh cdpk
dc m uypmkin! Ia hmfb }xhv~ida ~wd vh~v dc
axk`hpv gisha da ~bh ohc~ dc viag "< 6 >> >8 >3 >7 >2 >9
0
3
=0===5
=2=7
0703
6267 69 >5 >= >0
02 09 65
=9 05
8
>
2 9
=> =8 =3
00 06 0> 08
60 66 6> 68 63
87! 0 3 8 == < 6 7 2 => < < 8 =0 05 09 < 4
"M) 7 => 00 6= "@) 9 =8 00 66
"F) 7 =0 05 6= "N) 6 3 =0 =9
82! 8 3 =0 =9 < 00 0= 66 >> < < 4 < =3 0> 06 66
"M) =0 05 0= 6= "@) =0 05 6= >6
"F) => =6 0= 05 "N) =8 06 00 6=
89! 6 7 =0 < == =9 02 < < 4 < =3 0> 68
"M) 3 =0 05 "@) 2 => 06
"F) 08 68 >3 "N) =6 0= 6=
88!
"M) "@)
"F) "N)
83!
"M) "@)
"F) "N)
cxav\'j < "87 ov 89)ca/ r/ i|'x = ov >9 pn nb omZ:jsjvm nv
ciljchK nb D:dOCjj il sj$jjclp gVM i|P:vn i|'x hvm cu
"< 6 >> >8 >3 >7 >2 >9
0
3
=0===5
=2=7
0703
6267 69 >5 >= >0
02 09 65
=9 05
8
>
2 9
=> =8 =3
00 06 0> 08
60 66 6> 68 63
87! 0 3 8 == < 6 7 2 => < < 8 =0 05 09 < 4
"M) 7 => 00 6= "@) 9 =8 00 66
"F) 7 =0 05 6= "N) 6 3 =0 =9
82! 8 3 =0 =9 < 00 0= 66 >> < < 4 < =3 0> 06 66
"M) =0 05 0= 6= "@) =0 05 6= >6
"F) => =6 0= 05 "N) =8 06 00 6=
89! 6 7 =0 < == =9 02 < < 4 < =3 0> 68
"M) 3 =0 05 "@) 2 => 06
"F) 08 68 >3 "N) =6 0= 6=
8/8/2019 MAT Paper 09 Raj,
9/15
0=Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 0=
Niphf~idav < "35 ~d 3=) ^bhph iv vdkh phom~idavbiu
`h~whha ~bh ~wd cigxphv da ~bh ohc~ dc ~bh viga
"< "N) 6
36! Wbifb mphm phuphvha~v Bmpn+wdpjiag man
ia~hooigha~ x~ ahi~bhp pxpmo adp hnxfm~hnuhpvdav4
"M) == "@) 8"F) 6 "N) >
cxav\'j < "35 ov 3=)cu "< ==
=53
30! njVxoj zjv;j f}c)hjx[ iclLhb d c'jczjp ilXp} r|jhb!j
xgbm D:cNp:jvm njv i|ac'j\p nlpj gV _"M) =0 "@) =5
"F) > "N) 6
36! njVxoj zjv;j iclLhb d f} c)hjx ilXp} x gb r|jhb!j sjVl
xgb c'jczjp D:cNp:jvm njv i|ac'j\p nlpj gV _
"M) == "@) 8"F) 6 "N) >
8/8/2019 MAT Paper 09 Raj,
10/15
00Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 00
Niphf~idav < "3> ~d 38) Ia ~bh cdoodwiag }xhv~idav/ m
um~~hpa iv gisha wi~b m ump~ kivviag wbifb iv
ianifm~hn y m }xhv~ida kmpj! Cian dx~ cpdk ~bh
mo~hpam~ish cigxphv ~bh ump~ wbifb wdxon gd ia
uomfh dc ~bh }xhv~ida kmpj ~d fdkuoh~h ~bh
um~~hpa!
3>!4
"M) "@)
"F) "N)
38!4
"M) "@)
"F) "N)
Niphf~idav < "33 ~d 37) Wbifb dc ~bh cdoodwiag cigxphv "gisha
mv mo~hpam~ishv) wdxon `h cdpkhn `y ldiaiag ~bh
~wd$cdxp uihfhv$`odfjv dc cigxphv gisha hodw 4
33!
"M) "@)
"F) "N)
cxav\'j < "3> ov 38))cxHxcycZjp i|'xjvm hvm /n xhwxj ca:j r:j
gV c~onj /n Bjjr y}Ip gV sjVl kov i|'x cu ov a'jj\:j
r:j gVM ko xhwxv njv iwlj nlxv nv cy/ ca/ g}/
cdnYijvm hvm ov i|'x # cu nv OCjjx il ~jv sjcp
sj/rb kov Jjp nbc~/M
3>!4
"M) "@)
"F) "N)
38!4
"M) "@)
"F) "N)
cxav\'j < "33 ov 37)xbuv ca/ g}/ ajv E ujl Bjjrjvm njv ~jvK*xv ov
cdnYi nv
8/8/2019 MAT Paper 09 Raj,
11/15
06Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 06
37!
"M) "@)
"F) "N)
Niphf~idav < "32 ~d 75) Ia ~bh cdoodwiag }xhv~idav/ mupd`ohk cigxph iv gisha! ^bh upd`ohk cigxph ivbinnha ia dah dc ~bh cigxphv gisha mv mo~hpam~ishv!Cian ~bh cigxph ia wbifb ~bh upd`ohk cigxph ivbinnha!
32!
"M) "@)
"F) "N)
39!
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75!
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37!
"M) "@)
"F) "N)
cxav\'j < "32 ov 75)cxHxcycZjp i|'xjvm hvm /n i|'x sjcp abr`\ gVM :g i|'x sjcp ca/ g}/ cdnYijvm nb sjcp:jmhvm ov /n hvm cAib gVM ko sjcp njv Jjp nbc~/Mc~ohvm i|'x#sjcp cAib g}`\ gVM
32!
"M) "@)
"F) "N)
39!
"M) "@)
"F) "N)
75!
"M) "@)
"F) "N)
8/8/2019 MAT Paper 09 Raj,
12/15
0>Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 0>
Niphf~idav < "7= ~d 76) Ia ~bh cdoodwiag }xhv~idav/ ydx
bmsh ~d inha~icy ~bh ikmgh dc ~bh i~hk "Oh~~hp$
wdpn$Axk`hp) ia ~bh kippdp! bh kippdp iv uomfhn
`hodw ~bh i~hk! Fbddvh ~bh ~pxh ikmgh cpdk ~bh
gisha mo~hpam~ishv!
7=! ]oy
"M) "@)
"F) "N)
70! >8
"M) "@)
"F) "N)
76! GDMO
"M) "@)"F) "N)
7>! Ia ~bh cdoodwiag cigxph/ bdw kmay v}xmphv mph
~bhph 4
"M) 2
"@) ==
"F) =5
"N) 9
78! Ia ~bh cdoodwiag vhpihv bdw kmay ~ikhv 7/ 2/ 9
muuhmp ~dgh~bhp wbha 7 hiag ia ~bh kinnoh 4
7 0 2 7 9 0 = 7 2 9 = 3 7 > 0 = 7 9 7 2 0 2 9 7 0
"M) = "@) 0
"F) 6 "N) >
Niphf~idav < "73 ~d 25) ^bhph mph ~wd vh~v dc cigxphv!
Dah iv dc Upd`ohk Cigxphv wbioh mad~bhp iv vh~
dc Mavwhp Cigxphv! ^bhph iv m vh}xhafh
mffdpniag ~d wbifb ~bh Upd`ohk Cigxphv mph
mppmaghn! Dah cigxph dc Mavwhp Cigxphv iv ~d h
vhohf~hn wbifb fma `h uomfhn ia vh}xhafh dc
Upd`ohk Cigxphv! Cian ~bh fdpphf~ du~ida dc ~bh
vhohf~hn Mavwhp Cigxph!
73! Upd`ohk Cigxphv
U
U
^
Mavwhp Cigxphv
U
V VUA ^ ^ ^ ^
"M) "@) "F) "N)
cxav\'j < "7= ov76)cxHxjmcnp i|'xjvm hvm sjinjv iaj szjl E 'jFa
E omZ:j nv i| cpcfHf njv ai\!j hvm igujxxj gVM ai\!j
ia nv xbuv gVM ca/ r/ cdnYijvm hvm ov ogb i|cpcfHf
u}cx/M
7=! ]oy
"M) "@)
"F) "N)
70! >8
"M) "@)
"F) "N)
76! GDMO
"M) "@)"F) "N)
7>! xbuv ca/ r/ cu;j hvm drjv nb omZ:j cnpxb gV _"M) 2
"@) ==
"F) =5
"N) 9
78! cxHxcycZjp Lv!jb hvm cnpxb fjl 7/ 2/ 9 /n ojCj gVm
~fcn 7 h$: hvm gjv 47 0 2 7 9 0 = 7 2 9 = 3 7 > 0 = 7 9 7 2 0 2 9 7 0
"M) = "@) 0
"F) 6 "N) >
cxav\'j < "73 ov 25) cu;jjvm nv ajv ohwg ca/ r/ gVmM /n ohwg
ohO:j # cu;j pCjj awolj ohwg kjl#cu;j nj gV M
ohO:j cu;jjvm njv cnob /n h hvm D:cOCjp cn:j r:j
gVM kjl#cu;jjvm hvm /v /n /vov cu;j nj u}xjd nlxj gV
~jv ohO:j#cu;j hvm hjx}ojl sjrv ~jvK*j ~j onvM
u:cxp kjl#cu;j nj ogb hjmn Jjp nbc~/M
73! ohO:j#cu;j
U
U
^
kjl # sjcp:j
U
V VUA ^ ^ ^ ^
"M) "@) "F) "N)
8/8/2019 MAT Paper 09 Raj,
13/15
08Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 08
77! Upd`ohk Cigxphv
Mavwhp Cigxphv
"M) "@) "F) "N)
72! Upd`ohk Cigxphv
Mavwhp Cigxphv
"M) "@) "F) "N)
79! Upd`ohk Cigxphv
Mavwhp Cigxphv
"M) "@) "F) "N)
25! Upd`ohk Cigxphv
Mavwhp Cigxphv
"M) "@) "F) "N)
Niphf~idav < "2= ~d 28) ^bhph mph ~wd vh~v dc cigxphv!
Dah iv ]xhv~ida Cigxphv man ~bh d~bhp iv
Mavwhp+Cigxphv! ^bhph iv vdkh phom~idavbiu
`h~whha ~bh cipv~ ~wd cigxphv dc ~bh ]xhv~ida+
Cigxphv! bh vmkh phom~idavbiu hriv~v h~whha
~bh ~bipn man cdxp~b cigxphv! Vhohf~ ~bh du~ida dc
~bh fdpphf~ Mavwhp+Cigxph cdp ~bh uomfh dc
}xhv~ida kmpj "4)!
77! ohO:j # cu;j
kjl # sjcp:j
"M) "@) "F) "N)
72! ohO:j # cu;j
kjl # sjcp:j
"M) "@) "F) "N)
79! ohO:j # cu;j
kjl # sjcp:j
"M) "@) "F) "N)
25! ohO:j # cu;j
kjl # sjcp:j
"M) "@) "F) "N)
cxav\'j < "2=ov28)sjcp:jvm nv ajv ohwg gVmM /n i|'x#sjcp:j
d awolj kjl#sjcp:jM i|'x#sjcp:jvvm nb i|Cjh ajv
sjcp:jvm hvm n}A oHfX$j gVM dVoj gb oHfX$j pbolb sjVl
ujVCjb sjcp:jvm hvm Bjb gVM i|'x cu "4) nv OCjjx nv cy/
kjl#sjcp:jvm hvm ov ogb sjcp nv hjmn njv ?wc?/M
8/8/2019 MAT Paper 09 Raj,
14/15
03Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 03
2=! ]xhv~ida+Cigxphv
4<
8/8/2019 MAT Paper 09 Raj,
15/15
07Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 07
28! ]xhv~ida+Cigxphv
4<