Sol.Paper-3

8/3/2019 Sol.Paper-3

1/5

]@TG VH@_PNZVEP VZKME"A P_KME & ;

]@TGVH@_ I@T NZVE VZKME"A PZEVZ _K_ET"6

;.6

x' 5 2 j " (;! WK.A.KR

x 5 ' j 2 ;8? " (4!Wvub `i zhe f`anzeta`t

knmle av ;8?R

it`b (a! ) (aa!

x

5 ' 6

x

' 5 2 ;8?

6x ;5 ' x ' ;5 2 ;8? 6

x 2:

6;8?2 ;65

4.FJ

K D

V 6

;

4

; 24

;F, 4 2

4

;D

D ' F 2 ;8?

4

;D '

4

;F 2 1?

; ' 4 2 1?

6 2 1?

6. V_[ 2 VT[ 2 1?

V` zhkz _[V 2 5?

:. An KDF, K 2 8?V`, D ' F 2 ;??, Lez F 2 x

V`, D 2 ;?? x, _DF 24

x;?? 2 5?

4

x

Exz. F 2 ;8? x

V`, KF_ 24

x;8? 2 1?

4

x

An D_F

_DF ' D_F ' _FD 2 ;8?

5? 4

x' D_F ' 1?

4

x' x 2

;8?

D_F 2 ;8? ;:? ' x x 2 :?

5. K

4?

;6?

D

J F

E

JKF 2 JDF 2 4?

KEJ 2 ;8? KED

2 ;8? ;6? 2 5?

KJE 2 ;8? (4? ' 5?! 2 ;;?

[uev. ; 4 6 : 5 9 = 8 1 ;? ;; ;4 ;6 ;: ;5 ;9 ;= ;8 ;1 4?

Knv. F D F J D D F K J D D D K F D F D F K J

[uev. 4; 44 46 4: 45 49 4= 48 41 6? 6; 64 66 6: 65 69 6= 68 61 :?

Knv. K K K D D K K D D K D F F F K D K F K J

[uev. :; :4 :6 :: :5 :9 := :8 :1 5? 5; 54 56 5: 55 59 5= 58 51 9?

Knv. D D F D D F D J J K D K D K K D D F D K

[uev. 9; 94 96 9: 95 99 9= 98 91 =? =; =4 =6 =: =5 =9 == =8 =1 8?

Knv. J D D K J F F D D F K D K D F F D J F F

[uev. 8; 84 86 8: 85 89 8= 88 81 1? 1; 14 16 1: 15 19 1= 18 11 ;??

Knv. J J F K D D K K F J K D K K F D J D J J


2/5

]@TG VH@_PNZVEP VZKME"A P_KME & 4

9. @nlq zhe petabezet ì KD_ }all fhknme.V`, zheat av `nlq ; {uknzazq }hafh }all fhknme

=. An zhe mayen iamute [ 2 T 2 V 2 1? knj

_[ 2 [T 2 5, TV 2 ;?, VZ 2 6, zhen zhe

lenmzh i _Z }all de

_

TV

Z

[1?

1?

1?;?6

5

5U

5

;?

_Z4 2 ;54 ' 84 2 445 ' 9: 2 481

_Z2 ;=

8.

K

DJ F

Mayen an KDF, KD 2 DF 2 FK

knj KJ DF

N`}, an KDJ, KD4 2 KJ4 ' DJ4

KD 2 DF 2 4DJ ( J av baj pànz ì DF!

(4DJ!4 2 KJ4 ' DJ4

:DJ4 2 KJ4 ' DJ4

`t KJ4 2 6DJ4

1. @

DF

K

:?

knmle vudvzknj dq knq ktf kz zhe fenzte ì

zhe fatfle av z}afe i zhe knmle vudvzknjej dq

zhe vkbe kte kz zhe fatfub ietenfe.

Henfe, K@F 2 4 KDF

K@F 2 4 :?

K@F 2 8?

;?.:

4 K F Ex

q

D

J

6

Kv, KD || FJ

Zhen,DJ

@D2

KF

@K

DJ

:2

6

4

DJ 2 9 fb

N`}, DF || JE

DJ

@D

2 FE

@F

9

:2

FE

5, FE 2

:

6?2 =.5 fb

@E 2 @K ' KF ' FE 2 4 ' 6 ' =.5 2 ;4.5

fb

;;. Fenztàj jayaje bejakn an zhe tkza` 4 3 ;

@J 26

; ;4 2 : fb

;4.

K

E

I

J

M

D F

An DIF

J av baj pànz ì DF

knj JM || ID

Dq f`n i baj pànz zhe`teb M av baj pànz i

IF

IM 2 MF ...(a!

An KJM

E av baj pànz i KJ knj EI av pktkllel z` JM.

Dq f`ny ì baj pànz zhe`teb. I av baj pànz

ì KM

KI 2 IM ...(aa!

It`b (a! ) (aa!

KI 2 IM 2 MF

KI 26

;KF 2

6

; =.5 2 4.5


3/5


;6.

D[ av k vztkamhz lanev

V` ; ';;? 2 ;8?

; 2 =?

An ztaknmle KDFDF 2 DK

; 2 6V`, 6 2 =?

vub ì zhe knmlev ì ztaknmle 2 ;8?

v` ; ' 6 ' : 2 ;8?

: 2 :?

: 2 4 (Klzetnkze knmle!

4 2 :?

;:.

K

D F

;

46

:5

JE

; 2 4?

; 2 4 2 4?

4 2 6 ' :

4 2 4:

6 2 : 2 ;?

D 2 F 24

;;8? 2 8?

5 2 F : 2 8? ;? 2 =?

DJF 2 ;8? (D '5! 2 ;8? (8? ' =?! 2

6?

;5. x 2 65 W Knmlev `n zhe vkbe vemben DJR

An DFE

q 2 65 ' :? 2 =5 WDq Exzeta`t knmle pt`petzqR

An KJE

s 2 ;8? W65 ' :?R2 ;?5

s q 2 ;?5 =5 2 6?. WZtueR

x

q 2 65

=5 2

:?Duz mayen x q 2 :? WIklveR

x ' s 2 65 ' ;?5 2;:? WZtueR

q ' s 2 =5 ' ;?5 2 ;8? WZtueR

;9. Lez knmle x

Vupplebenz ì x 2 ;8? x

x 2 (;8? x!:

; 4?

x '4? 2:5 x/:

x ':x 2 :5 4?

:

x52 45

x 2 4?F`bplebenz 2 1? 4? 2 =?

;=.9fb

;?;? 9h

x

8

;?

1?

van 2;?

92

5

6

van(1? ! 2;?

h

f`v 2;?

h2

5

:

h 2 8

x 2 ;? h 2 ;? 8 2 4


4/5

]@TG VH@_PNZVEP VZKME"A P_KME & :

;8.

F

K Dx

E

J

x

;8?

4x

FJK 'FJD 2 ;8?;8? 4x ' FJD 2 ;8?FJD 2 4xFJD 2 FDJ 2 4x (Defkuve FJ 2 DF!An FJD,FJD ' FDJ ' JFD 2 ;8?4x ' 4x ' JFD 2 ;8?JFD 2 ;8? :xEFD ' DFK 2 ;8?

19 ' x ' ;8?

:x 2 ;8?19 ';8? ;8? 2 6x

6x 2 19 x 2 64

JDF 2 4x 2 4 64 2 9:

;1. DFE 2 9? ) DFJ 2 1?

JFE 2 DFJ ' DFE 2 1? ' 9? 2 ;5?

An JFE,

JFE ' JEF ' EJF 2 ;8?

;5? ' JEF ' EJF 2 ;8?

Kv JF 2 FE, JEF 2 EJF

V`, JEF ' JEF 2 ;8? ;5?

4JEF 2 6?

JEF 2 ;5

4?. DJF 2 45 WKnmlev `n zhe vkbe vembenz DFR

An KDF,

DFK 2 45 WKD 2 DFR

DF 2 ;8? (45 ' 45! 2 ;6?

An DFJ,

FDJ 2 45 WDF 2 FJR

KDJ 2 ;6? 45 2 ;?5

KEJ 2 ;8? ;?5 2 =5. WKDJE av k fqflaf

{ukjtalkzetklR

4:. An iamute 3

N`tbkl:

4;

6N`tbkl

Knlme ì anfajenfe, a 2 4

Knmle i teitkfza`n, t 2 ;

v`,k

m2

;van

4van

6;. Bkvv ì afe, b;

2 ::? m

Zebpetkzute i afe 2 ?F

Bkvv i }kzet, b4 2 5:? mZebpetkzute i }kzet 2 8?F

Hekz mayen dq }kzet an ikllanm zhe zebpetkzute

it`b 8?F z` ?F

[;

2 b;

V}

[;

2 5:? ; (8? ?! 2 :64?? fkl

Hekz zkgen dq afe z` belz

[4

2 b4L

[4

2 ::? 8? 2 654?? fkl

[;

< [4

V` kll zhe afe }all belz `nlq }kzet }all tebkan.

68. i 2 5?? Hs, 2 ?.4Yel`fazq i vùnj an bejaub 2 i2 5?? ?.4 2 ;?? b/v

Zabe, 2;??

6??

yel`fazq

fezknjav 2 6 v

61. Nubdet ì fqflev an ?.8 v 2 4:

Ite{uenfq 2 Nubdet i fqflev an

;v 2

8.?

4:2 6? Hs

:?. F`bptevva`n av k tema`n i hamh ptevvute knj

tkteikfza`n av k tema`n i l`} ptevvute.


5/5


=;. Zhe ve{uenfe an zhe mayen vetaev

av 44 ";, :4 ";, 94 ";, 84 ";, ;?4 ";, ;44 ";

=4. Zhe iatvz nubdet an zhe zetbv i`ll`} zhe

ve{uenfe ';4, '44, '64, ':4, ........ Zhe vef`nj

lezzet ì ekfh mtùp jaiietv dq 6 lezzetv an zhe

i`t}ktj jatefza`n. Zhatj lezzet ì ekfh mtùp

jaiietv dq 6 lezzetv an zhe dkfg}ktj jatefza`n.

Henfe, zhe nexz fhàfe }ùlj de 6;NI.

=6. (K! An iamute (K!,4

;:;4 2 8:.

An iamute (D!,4

;81 2 8;.

Lez zhe bavvanm nubdet an iamute (F! de x.

Zhen,4

;;x

2 88 t x 2;;

4882 ;9.

=:. (D! Ztq kll zhe `pza`n dq uvanm zhe vqbd lvkv mayen

=5. (F! Zhe fazq nkbe av BKJUTKA knj lezzet U

exavzv exkfzlq an zhe bajjle.

=9. dtanm 9 (It`b ;vz knj 6tj!

kpple 8 (It`b ;vz knj 4nj!

be = (It`b ;vz knj kd`ye!

==. (D! B`yebenz av vh`}n }azh zhe help i ktt`}v.

Kizet ft`vvanm D a }all de tunnanm an vùzh.

D F

JK

=1. (F! K av ;8zh it`b it`nz knj F av 45zh

Nubdet ì petv`nv dez}een K knj F 2 9.

Vanfe F av exkfzlq an bajjle i K knj D, v` nubdet

ì petv`nv dez}een F knj D 2 9

;= 9K

9K

9F

9 ;5D

Nubdet ì petv`nv an zhe {ueue

2 (;= ' ; ' 9 ' ; ' 9 ' ; ' ;5! 2 :=.

85. _`vvadle ztaknmlev kte 3

;. KJM, 4. JFM, 6. FIM, :. DIM, 5. DEM, 9. KME,=. KFM, 8. FDM, 1. KMD, ;?. KFI, ;;. KDI, ;4. DFJ,

;6. KDJ, ;:. KFE,;5. DFE,;9. KDF.

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Sol.Paper-3