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MAT Paper 09 Raj,

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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

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  • 8/8/2019 MAT Paper 09 Raj,

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  • 8/8/2019 MAT Paper 09 Raj,

    10/15

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  • 8/8/2019 MAT Paper 09 Raj,

    11/15

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  • 8/8/2019 MAT Paper 09 Raj,

    12/15

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  • 8/8/2019 MAT Paper 09 Raj,

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    08Uph+cdxanm~ida Fmphhp Fmph Updgpmkkhv "UFFU) Nisivida 08

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  • 8/8/2019 MAT Paper 09 Raj,

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  • 8/8/2019 MAT Paper 09 Raj,

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