Date post: | 10-Apr-2018 |
Category: |
Documents |
Upload: | nilesh-gupta |
View: | 222 times |
Download: | 0 times |
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 3/16
777R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 7
Eo{imuoal} (7 ua 4/ 6 Ol uhi da``a~oln wyi}uoal} lyjki{}
! `iuui{} g{i g{{glnie ol g }i{oi} al uhi kg}o}
ad }aji r{olmor`i ~ouh ali ui{j jo}}oln ~homh
o} }ha~l k wyi}uoal jg{c (1/ Dole ayu uhi
jo}}oln ui{j d{aj uhi notil g`ui{lguoti}
7, 4, 7;, ;7, (1/, 58
(G/ == (K/ 52
(M/ 59 (E/ 9=
;, ;,>,5, (1/, 8, =;, 74, 9;
(G/ 79 (K/ 74
(M/ 7> (E/ 78
=, 8, 72, 75, ;2, ;8, (1/
(G/ =2 (K/ =;
(M/ =4 (E/ =8
5, @A[Y, ^VMD, HCLW, ]T_K, (1/
(G/ IHCJ (K/ MIO@
(M/ OJR] (E/ ENFJ
9, MDI, DOH, O@C, @AL, (1/
(G/ A[W (K/ JRW
(M/ Y^X (E/ EID
4, (1/, IEND, CFJ@, [WU], J@AL(G/ X^U] (K/ X_T^
(M/ X^V_ (E/ X^YU
Eo{imuoal} (> ua 7;/ 6 Uhi{i o} g ~{aln ui{j ol uhi
da``a~oln lyjki{} ! `iuui{} }i{oi} Dole uhi
~{aln ui{j ad uhi }i{oi}
>, 5,?,7?, =5, 42, >?
(G/ 7? (K/ =5
(M/ 42 (E/ >?
8, =7, ;?, ;5, ;;, 7>, 79, 77, 8, =
(G/ ;; (K/ 7>
(M/ 79 (E/ 77
?, =, 4, 7=, 78, ;>, =8
(G/ 7= (K/ 78
(M/ ;> (E/ =8
72, GKM, KME, MEI, EID, DIN
(G/ KME (K/ MEI
(M/ EID (E/ DIN
dyl}V.c (7 ua 4/ 6 yhr} dl, x, ov.yc}g i}g `gS3c,§Btscf de`hd`/cg{ e} tyw cf A3ad@Dc{ n] g duyi} g `} ,e ol wO{n] du`} ov.y acre drYn °Pº } l.ccV3c x3c n]G dl,x, dae_oc}g i}g } wO{ ol ec} Cc{ ehdu,G
7, 4, 7;, ;7, (1/, 58
(G/ == (K/ 52
(M/ 59 (E/ 9=
;, ;,>,5, (1/, 8, =;, 74, 9;
(G/ 79 (K/ 74
(M/ 7> (E/ 78
=, 8, 72, 75, ;2, ;8, (1/
(G/ =2 (K/ =;
(M/ =4 (E/ =8
5, @A[Y, ^VMD, HCLW, ]T_K, (1/
(G/ IHCJ (K/ MIO@
(M/ OJR] (E/ ENFJ
9, MDI, DOH, O@C, @AL, (1/
(G/ A[W (K/ JRW
(M/ Y^X (E/ EID
4, (1/, IEND, CFJ@, [WU], J@AL(G/ X^U] (K/ X_T^
(M/ X^V_ (E/ X^YU
dyl}V.c (> ua 7;/ 6 yhr} lh xkV `gS3c,§Btscf F}dc3c} g ig} ov[3}ei}g ,e ol x{ n]G j` x{ ol ec} Cc{ ehdu,G
>, 5,?,7?, =5, 42, >?
(G/ 7? (K/ =5
(M/ 42 (E/ >?
8, =7, ;?, ;5, ;;, 7>, 79, 77, 8, =
(G/ ;; (K/ 7>
(M/ 79 (E/ 77
?, =, 4, 7=, 78, ;>, =8
(G/ 7= (K/ 78
(M/ ;> (E/ =8
72, GKM, KME, MEI, EID, DIN
(G/ KME (K/ MEI
(M/ EID (E/ DIN
[GFG]UHGLQ LU]I*]UGNI*O (_IG[6;272/ JGU
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 4/16
;;;R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal ;
77, VAG, XJD, TCC, UHR, [NY, RIV
(G/ UHR (K/ XJD
(M/ TCC (E/ [NY
7;, GGMM, KKIE, MMHI, EEJD, IIWN
(G/ GGMM (K/ EEJD
(M/ KKIE (E/ IIWN
Eo{imuoal} (7= ua ;;/ 6 Ol igmh ad uhi da``a~oln wyi}uoal}uhi{i g{i lyjki{} ! n{ayr ad `iuui{}!~a{e ad~homh uh{ii g{i }ojo`g{ ol mi{ugol ~g, gle alio} eoddi{ilu Dole uhi ali lyjki{!n{ayr ad iuui{} ! ~a{e uhgu o} eoddi{ilu d{aj uhi notilg`ui{lguoti}
7=, (G/ 5 (K/ 74
(M/ ;9 (E/ =4
75, (G/ ?? (K/ 7;2
(M/ 75= (E/ 74?
79, (G/ >;7= (K/ ?8>4
(M/ 95=; (E/ 495=
74, (G/ R[W (K/ GMK
(M/ HFO (E/ X_
7>, (G/ GGK (K/ MME
(M/ RRW (E/ UU]
78, (G/ ;5=9 (K/ 5>98
(M/ >;?7 (E/ 958>
7?, (G/ [oln (K/ Kgln`i
(M/ R`gui (E/ Kg``
;2, (G/ Kao` (K/ Kgo`
(M/ Mao` (E/ ]ao`
;7, (G/ Ra}u mg{e (K/ Ol`gle*@iuui{
(M/ Ui`in{gj (E/ ]riie*Ra}u
;;, (G/ Maa` (K/ ]iij
(M/ ]~o}} (E/ Hii`
Eo{imuoal} (;= ” =;/ 6 Ol uhi da``a~oln wyi}uoal} uhi{i
o} }aji {i`guoal}hor kiu~iil uhi u~a dony{i} !
rgo{} ad iuui{} ! lyjki{} al uhi idu ad uhi (66/
uhi }gji {i`guoal}hor ixo}u} kiu~iil uhi u~a
ui{j} al uhi {onhu ad ~homh ali o} jo}}ln Dole
uhi jo}}ln ali d{aj uhi notil g`ui{lguoti}
77, VAG, XJD, TCC, UHR, [NY, RIV
(G/ UHR (K/ XJD
(M/ TCC (E/ [NY
7;, GGMM, KKIE, MMHI, EEJD, IIWN
(G/ GGMM (K/ EEJD
(M/ KKIE (E/ IIWN
dyl}V.c (7= ua ;;/ 6 yhr} dl, x, ov.yc}g i} g ov[3}e i}g gS3c,§ B
tscf i~ n B .cMl n] duyi} g `} ,e de`h dyd.r{ 6o
i}g tY3 {hy } dHcYy n]G dl, x, dae_oc}g i} g } j`
dHcYy gS3c B tscf i~n B .cMl ec} Cc{ ehdu,G
7=, (G/ 5 (K/ 74
(M/ ;9 (E/ =4
75, (G/ ?? (K/ 7;2
(M/ 75= (E/ 74?
79, (G/ >;7= (K/ ?8>4
(M/ 95=; (E/ 495=
74, (G/ R[W (K/ GMK
(M/ HFO (E/ X_
7>, (G/ GGK (K/ MME
(M/ RRW (E/ UU]
78, (G/ ;5=9 (K/ 5>98
(M/ >;?7 (E/ 958>
7?, (G/ tgxwKh (K/r~J#h
(M/ O}T (E/ x}gl
;2, (G/ Kao` (K/ Kgo`
(M/ Mao` (E/ ]ao`
;7, (G/ oc}@TecJV (K/ tY{lV}.ch3 o:c
(M/ T}dxvci (E/ @ohJ$oc}@T;;, (G/ Maa` (K/ ]iij
(M/ ]~o}} (E/ Hii`
dyl}V.c ) (;= ” =;/ dyIyddSc{ ov.yc}g i}g drYn| (66/ e} mck· tc}flh xkV lc} tc×d{3c} g B tscfc} g B tgec} e} 3wxic} B tgec}i}g ewL ImY!c n] anh ImY!c lcdnyh tc}f e} lc} olc}gi} g n] duyi} g `} ,e w wO{ n]G dl, nw, dae_oc} g i} g `} j`wO{ ol ec} Cc{ ehdu,G
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 5/16
===R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal =
;=, G K 1 K
(G/ G (K/ G
(M/ G (E/K
;5, 1
(G/ (K/
(M/ (E/
;9, (1/
(G/ (K/
(M/ (E/
;4, YI]N 6 _G^M 6 6 JJCM 6 1
(G/ WAOC (K/ WOA_
(M/ COWA (E/ WOCA
;>, GKM 6 V_X 6 6 KME 6 1
(G/ _X^ (K/ X_^
(M/ _^X (E/ X_V
;8, IFOE 6 1 6 6 AU[L 6 J[R@
(G/ MHNK (K/ NOCR
(M/ MDHK (E/ NHKD
;?, 4 6 =9 6 6 77 6 1
(G/ 95 (K/ 94(M/ 7;2 (E/ 7;7
=2,9
KM6
?
EI6 6 1 6
;=
C@
(G/7?
OF(K/
?7
FO
(M/75
JL(E/
7?
LJ
;=, G K 1 K
(G/ G (K/ G
(M/ G (E/ K
;5, 1
(G/ (K/
(M/ (E/
;9, (1/
(G/ (K/
(M/ (E/
;4, YI]N 6 _G^M 6 6 JJCM 6 1
(G/ WAOC (K/ WOA_
(M/ COWA (E/ WOCA
;>, GKM 6 V_X 6 6 KME 6 1
(G/ _X^ (K/ X_^
(M/ _^X (E/ X_V
;8, IFOE 6 1 6 6 AU[L 6 J[R@
(G/ MHNK (K/ NOCR
(M/ MDHK (E/ NHKD
;?, 4 6 =9 6 6 77 6 1
(G/ 95 (K/ 94
(M/ 7;2 (E/ 7;7
=2,9
KM6
?
EI6 6 1 6
;=
C@
(G/7?
OF(K/
?7
FO
(M/75
JL(E/
7?
LJ
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 6/16
555R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 5
=7, 7;9 6 ;9 6 6 (1/ 6 =4
(G/ ;7; (K/ ;75
(M/ ;74 (E/ ;78
=;, = 6 ;4 6 6 9 6 (1/
(G/ ;5 (K/ 7;2
(M/ 7;5 (E/ 7;4
Eo{imuoal} (== ”52/6 Ol igmh ad uhi da``a~oln wyi}uoal}
uhi{i g{i `iuui{} lyjki{} da``a~ g eidoloui
rguui{l Dole ayu uhi jo}}oln `iuui{ ! lyjki{
ua majr`iui uhi rguui{l
==, gg Q ggmmm Q i Q in Q o
(G/ gmin (K/ kedh
(M/ ggmm (E/ gmii
=5, c` Q lac Q jlac` Q Q ac`jl Q
(G/ Ojjla (K/ j`jla
(M/ jj`la (E/ j`jla
=9, g ” mkg ” km ” ggk ” kg
(G/ kgkm (K/ gkmg
(M/ ggkm (E/ gkmm
=4,”kg
”kgg
”gg
”g
(G/ kggk (K/ gkgk
(M/ gkkg (E/ ggkk
=>, == Q =4 Q 44 Q 999888 Q >>>Q
(G/ =49>8 (K/ =498>
(M/ =4988 (E/ =594>
=8, 99 Q 9955 Q 5== Q ;;7
(G/ 95; (K/ 95=(M/ 955 (E/ 957
=?, gg77 Q kmm= Q eei Q 9 Q ddnn
(G/ k = i 9 (K/ 7 k = 9
(M/ k = i 4 (E/ g = i 9
52, Q mkg Q mkgg Q kggm Q g
(G/ gkkm (K/ mgkm
(M/ ggmk (E/ mmkk
=7, 7;9 6 ;9 6 6 (1/ 6 =4
(G/ ;7; (K/ ;75
(M/ ;74 (E/ ;78
=;, = 6 ;4 6 6 9 6 (1/
(G/ ;5 (K/ 7;2
(M/ 7;5 (E/ 7;4
dyl}V.c (== ”52/ 6 yhr} dl, x, ov.yc}g i}g ov[3}e i}g tscf B tge
,e dyd.r{ @a6o i}g A3ad@Dc{ n] gG dl, x, dae_oc}g
i}g } @a6o ec} o~fc efy} e} d, wO{ tscf B tge
ec} Cc{ ehdu,G
==, gg Q ggmmm Q i Q in Q o
(G/ gmin (K/ kedh
(M/ ggmm (E/ gmii
=5, c` Q lac Q jlac` Q Q ac`jl Q
(G/ Ojjla (K/ j`jla
(M/ jj`la (E/ j`jla
=9, g ” mkg ” km ” ggk ” kg
(G/ kgkm (K/ gkmg
(M/ ggkm (E/ gkmm
=4,”kg
”kgg
”gg
”g
(G/ kggk (K/ gkgk
(M/ gkkg (E/ ggkk
=>, == Q =4 Q 44 Q 999888 Q >>>Q
(G/ =49>8 (K/ =498>
(M/ =4988 (E/ =594>
=8, 99 Q 9955 Q 5== Q ;;7
(G/ 95; (K/ 95=
(M/ 955 (E/ 957
=?, gg77 Q kmm= Q eei Q 9 Q ddnn
(G/ k = i 9 (K/ 7 k = 9
(M/ k = i 4 (E/ g = i 9
52, Q mkg Q mkgg Q kggm Q g
(G/ gkkm (K/ mgkm
(M/ ggmk (E/ mmkk
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 7/16
999R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 9
Eo{imuoal (57 ”59/6 Uhi da``a~oln wyi}uoal} g{i kg}ie
al uhi g{{glnijilu ad g`rhgkiu} ol uhi da{j ad
g r{gjoeOl igmh wyi}uoal uhi{i o} }aji
{i`guoal}hor kiu~iil uhi u~a }iu} ad iuui{} al
uhi `idu ad uhi ( 6 6 / Uhi }gji {i`guoal}hor
ixo}u} kiu~iil uhi u~a ui{j} al uhi {onhu ad
~homh ali o} jo}}oln Dole uhi jo}}oln ali
d{aj uhi notil g`ui{lguoti}
GK M E
I D N H OF C @ J L A R
[ ] U Y T XW _
57, GKI 6 GEO 6 6 GKIF 6 1
(G/ GKW (K/ GEOR
(M/ GE_ (E/ EOR_
5;, KDI 6 EHO 6 6 1 6 RX_
(G/ OAR (K/ ICF
(M/ F[W (E/ ORX
5=, IDJ 6 1 6 6 C@Y 6 ALY
(G/ OHJ (K/ OLJ
(M/ R^_ (E/ OJH
55, 1 6 EORAL 6 6 IFW[] 6 OR_X^
(G/ KFIC@ (K/ @CFIK
(M/ DC[]U (E/ KIFC@
59, I@Y 6 1 6 6 OLY 6 NL^
(G/ N@] (K/ DC[
(M/ IFW (E/ OJH
Eo{imuoal (54 ” 5>/6 Wyi}uoal la 54 gle 5> g{i kg}ie
al uhi }i{oi} ad lyjki{ gle `iuui{}
G K ; E M 5 E = K M = E ; K E 5 M G ; G K = E K M
54, Ha~ jgl uoji} lyjki{} ; a{ = grrig{ ol
kiu~iil uhi iuui{} K gle E 1
(G/ ;, ; (K/ 7,=
(M/ 7,; (E/ ;,7
5>, Ha~ jgl uoji} M grrig{} ua uhi `idu ad gl
lyjki{ ol uaug` 1
(G/ 2 (K/ 7
(M/ ; (E/ =
dyl} V.c (57 ”59/6 yhr} dl, x, ov.y tgxv }uh eh acVicc of tc! ccdf{ n] g duYn} g dofcdiJ e} 6o i} g l.ccV3c x3c n]G ov[3}eov.y i} g drYn| ( 6 6 / e} mck· tc}f tscfc} g e} 3wXic} g i}g ewL`ImY!c n] anh `ImY!c lcdnyh tc}f e} lc} olc}g i} g n]duyi} g `} ,e wO{ n]G dl, nw, dae_oc} g i} g `} j` wO{ol ec} Cc{ ehdu,G
GK M E
I D N H OF C @ J L A R
[ ] U Y T XW _
57, GKI 6 GEO 6 6 GKIF 6 1
(G/ GKW (K/ GEOR
(M/ GE_ (E/ EOR_
5;, KDI 6 EHO 6 6 1 6 RX_
(G/ OAR (K/ ICF
(M/ F[W (E/ ORX
5=, IDJ 6 1 6 6 C@Y 6 ALY
(G/ OHJ (K/ OLJ
(M/ R^_ (E/ OJH
55, 1 6 EORAL 6 6 IFW[] 6 OR_X^
(G/ KFIC@ (K/ @CFIK
(M/ DC[]U (E/ KIFC@
59, I@Y 6 1 6 6 OLY 6 NL^
(G/ N@] (K/ DC[
(M/ IFW (E/ OJH
dyl}V.c (54 ” 5>/ 6 ov.y Ø* 54 ,ag 5> yhr} eh lh xkV tgec} g ,gatscfc}g `} dydiV{ F}ch of tc!ccdf{ n]gG
G K ; E M 5 E = K M = E ; K E 5 M G ; G K = E K M
54, F}ch i}g K ,ag E e} i!3 ; 3c = e} tge de{yh mcftc, n]g 1
(G/ ;, ; (K/ 7,=
(M/ 7,; (E/ ;,7
5>, F}ch i}g M de`h Hch tge e} mck· tc}f ew de{yh mcftc3c n] P
(G/ 2 (K/ 7
(M/ ; (E/ =
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 8/16
444R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 4
Eo{imuoal (58 ” 5?/ 6 Lyjki{} g{i g{{glnie ol ugk`i}gmma{eoln ua mi{ugol {y`i Dole uhi jo}}olnlyjki{ d{aj uhi g`ui{lguoti}
58,
77
;?
=2
;=
=8
?
=7
;;
1
(G/ 77 (K/ 7=
(M/ 79 (E/ 7>
5?,
5
8
7;
4
7;
78
8
1
;5
(G/ 74 (K/ ;2
(M/ =; (E/ 82
Eo{imuoal} (92 ”
97/ 6 Ol uhi da``a~oln wyi}uoal lyjki{}g{i notil ol}oei gle ayu}oei ad uhi }wyg{i}Mhaa}i uhi ma{{imu gl}~i{ ua do`` ol uhi }rgmijg{cie ~ouh wyi}uoal jg{c Dole uhi jo}}olnlyjki{ d{aj uhi g`ui{lguoti}
92, 7= 8
9
72
1;5 ;7
;2
;?
95 77
;2
99
(G/ = (K/ 4
(M/ 5 (E/ ;8
97, =84 >
9
7
4;8 ?
5
72
172 77
>
79
(G/ 5= (K/ =5
(M/ 74 (E/ 84
Eo{imuoal} (9; * 9>/ 6 Gmma{eoln ua g maei `glnygni,}aji ~a{e} g{i notil ol ma`yjl 7 gle uhi{imaei} g{i notil ol ma`yjl ; Eimaei uhi`glnygni gle gl}~i{ uhi da``a~oln wyi}uoalMa`yjl 7 Ma`yjl ;
[IE kxr
EAU kw{
JGU {gm
]GU ge{
]IG ger
]II rer
JAAL wmw
9;, Maei da{ [ gle A g{i *
(G/ x, w (K/ w, {
(M/ x, { (E/ x, r
dyl}V.c (58 ” 5?/ 6 yhr} lh xkV `cfdc3c}g i}g `gS3c,§ de`hdy3icyw cf A3ad@Dc{ n] gG dl, x, dae_oc}g i}g } wO{`gS3c Cc{ ehdu,G
58,
77
;?
=2
;=
=8
?
=7
;;
1
(G/ 77 (K/ 7=
(M/ 79 (E/ 7>
5?,
5
8
7;
4
7;
78
8
1
;5
(G/ 74 (K/ ;2
(M/ =; (E/ 82
dylV}.c 6 (92 ”
97/ ov.yc}g i}g dl, x, axc}· e} tYlf mcnf de`hda.c}+c dy3i e} tyw`cf ewL `gS3c,§ lh xk· n]Gov.yacre drí ImY!ch @Dccy ec} Hcfy} e} d, dl,x, dae_oc}g i}g } nh jßcf rwdy,G
92, 7= 8
9
72
1;5 ;7
;2
;?
95 77
;2
99
(G/ = (K/ 4
(M/ 5 (E/ ;8
97, =84 >
9
7
4;8 ?
5
72
172 77
>
79
(G/ 5= (K/ =5
(M/ 74 (E/ 84
dylV }.c (9; * 9>/ 6 @{IHc 7 e} .cMlc}g ec} cge}d{e Hcc+cc i} g @{IHc; i} g dScc x3c n]G cge}d{e Hcc+cc ec} onrcyef yhr}dl, x, ov.yc}g e} jßcf lhdu,G
@{IHc 7 @{IHc ;
[IE kxrEAU kw{
JGU {gm
]GU ge{
]IG ger
]II rer
JAAL wmw
9;, [ ,ag A e} ge}{cscf n]g *(G/ x, w (K/ w, {
(M/ x, { (E/ x, r
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 9/16
>>>R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal >
9=, Maei da{ JG]UI[ g{i ”
(G/ mgerw{ (K/ erwmge
(M/ xrew{} (E/ e{rmgx
95, Maei da{ U[II g{i ”
(G/ xr{r (K/ wkk{
(M/ xr{{ (E/ kwaa
99, Maei da{ [GU g{i ”
(G/ {g} (K/ {gx
(M/ gxu (E/ }re
94, Maei da{ [AAJ g{i
(G/ mgw{ (K/ erww
(M/ wxmw (E/ rmgx
9>, Maei da{ U[GJ g{i
(G/ xwr{ (K/ m{rx
(M/ xrew (E/ xg{m
Eo{imuoal} (98 * 42/6 Ol g maeie `glnygni, UONI[ o}
maeie g} ;=9>4 gle HYLUI[ o} maeie g}
875;>4, Oeiluod uhi maei glnygni gle gl}~i{
uhi da``a~oln wyi}uoal}
98, Maei da{ HYLNI[ g{i
(G/ 8759>4 (K/ 8795;=
(M/ 785944 (E/ 87;=>4
9?, Maei da{ HIONHU g{i(G/ 8>=98; (K/ 8>498;
(M/ 84>=8; (E/ 8>=48;
42, Maei da{ NYLLI[ g{i
(G/ 97==>4 (K/ 9755>4
(M/ 97;;>4 (E/ 4>5579
Eo{imuoal} (47 * 49/6 Ol uhi da``a~oln wyi}uoal} u~a
dony{i} g{i notil g} r{ak`ij dony{i homh ad
uhi da``a~oln g`ui{lguoti dony{i} ~ay`e ki da{jie
od uhi do{}u dony{i o} }yri{ojra}ie aluhi }imaledony{i 1
47,
(G/ (K/
(M/ (E/
9=, JG]UI[ e} d, ge}{cscf n](G/ mgerw{ (K/ erwmge
(M/ xrew{} (E/ e{rmgx
95, U[II e} d, ge}{cscf n]g(G/ xr{r (K/ wkk{
(M/ xr{{ (E/ kwaa
99, [GU e} d, ge}{cscf(G/ {g} (K/ {gx
(M/ gxu (E/ }re
94, [AAJ e} d, ge}{cscf n]g(G/ mgw{ (K/ erww
(M/ wxmw (E/ rmgx
9>, U[GJ e} d, ge}{cscf n] g(G/ xwr{ (K/ m{rx
(M/ xrew (E/ xg{m
dyl} V.c (98 * 42/6 de`h cge}d{e Hcc+cc i}g UONI[ ec} ;=9>4
,ag HYLUI[ } dScc x3c n] G cge}d{e Hcc+cc ec}onrcyef yhr} dl, x, ov.yc}g e} jßcf lhdu,G
98, HYLNI[ e} d, ge}{cscf n]g
(G/ 8759>4 (K/ 8795;=
(M/ 785944 (E/ 87;=>4
9?, HIONHU e} d, ge}{cscf n]g(G/ 8>=98; (K/ 8>498;
(M/ 84>=8; (E/ 8>=48;
42, NYLLI[ e} d, ge}{cscf n]g
(G/ 97==>4 (K/ 9755>4
(M/ 97;;>4 (E/ 4>5579
dyl} V.c (47 * 49/6 dyIyddSc{ ov.yc} g i} g lc} ov.y tc×d{3c§ lh xkVn] gG 3dl ovDci tc×d{ e} dz{h3 tc×d{ of t!3cfc}do{ef lh uc, {c} dyIycgde{ a]ed_oe tc×d{3c}g i}g }
ec]y`h tc×d{ my}xh P
47,
(G/ (K/
(M/ (E/
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 10/16
888R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 8
4;,
(G/ (K/
(M/ (E/
4=,
(G/ (K/
(M/ (E/
45,
(G/ (K/
(M/ (E/
49,
(G/
(K/
(M/
(E/
4;,
(G/ (K/
(M/ (E/
4=,
(G/ (K/
(M/ (E/
45,
(G/ (K/
(M/ (E/
49,
(G/
(K/
(M/
(E/
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 13/16
777777R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 77
>>,
(G/ (K/
(M/ (E/
>8,
(G/ (K/
(M/ (E/
>?, Ha~ jgl }wyg{i} gle {onhu u{ogln`i} g{i uhi{iol uhi da``a~oln dony{i 1
(G/ 5,5 (K/ 9,9(M/ 9,4 (E/ 4,4
Eo{imuoal (82/ 6 Da``a~oln ~aaeil }a`oe myki o}ma`ajie g`` g{ayle Ou hg} kiil eotoeie olua 8iwyg` }jg`` myki} g} }ha~l oluhi dony{i Ha~jgl uaug` dgmi} ~o`` ki ~ouhayu ma`ay{ 1
82,
(G/ ;5 (K/ 74
(M/ 7; (E/ 8
Eo{imuoal} 6 (87 ua 89/ ^homh ad uhi da``a~oln dony{i}(notil g} g`ui{lguoti}/ ~ay`e ki da{jie k faololnuhi u~a!day{ roimi} ad dony{i notil ki`a~ 1
87,
(G/ (K/
(M/ (E/
>>,
(G/ (K/
(M/ (E/
>8,
(G/ (K/
(M/ (E/
>?, dyIycgde{ dr:c i}} g axV ,ag `iec}c d:cHcwu eh ew`gS3c de{yh de{yh n] P
(G/ 5,5 (K/ 9,9(M/ 9,4 (E/ 4,4
dyl}V.c (82/ 6 dyIycgde{ eJ#h ec myc Kc}` !cy Hch tc}f }fgxc nwtc n]G k`} dr:c i} g l.ccV, tyw`cf ecTef tcK`icy 1cyc} g i}g daHcE{ de3c uc{c n]G ew dicefde{y} We dmyc fgx e} nc}gx} P
82,
(G/ ;5 (K/ 74(M/ 7; (E/ 8
dyl} V.c 6 (87`}89/ yhr} dl, nw, lc} B rcf Hccxc} g i} g uc}J#y} `} dae_oe} 6o i} g lh nwkV tc×d{3c} g i} g `} ec]y`h my}xh P
87,
(G/ (K/
(M/ (E/
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 14/16
7;7;7;R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 7;
8;,
(G/ (K/
(M/ (E/
8=,
(G/ (K/
(M/ (E/
85,
(G/ (K/
(M/ (E/
8;,
(G/ (K/
(M/ (E/
8=,
(G/ (K/
(M/ (E/
85,
(G/ (K/
(M/ (E/
8/8/2019 MAT-Paper -10 . Raj.
http://slidepdf.com/reader/full/mat-paper-10-raj 15/16
7=7=7=R{i*dayleguoal Mg{ii{ Mg{i R{an{gjji} (RMMR/ Eoto}oal 7=
89,
(G/ (K/
(M/ (E/
Eo{imuoal} 6 (84 ua ?2/ Ol igmh wyi}uoal day{ dony{i}g{i notil Ali ad uhij eai} lau ma{{i`gui ~ouhuhi {i}u Dole ayu uhi eoddi{ilu dony{i
84, (G/ (K/
(M/ (E/
8>, (G/ (K/
(M/ (E/
88, (G/ (K/
(M/ (E/
89,
(G/ (K/
(M/ (E/
dyl}V.c6 (84 `} ?2/ ov[3}e ov.y i}g rcf dr:c dl, x, n]g duyi}g,e tY3 } i} ynhg Scc{cG j`} dHcYy dr:c ec o{cxck,G
84, (G/ (K/
(M/ (E/
8>, (G/ (K/
(M/ (E/
88, (G/ (K/
(M/ (E/