w' fmd' i' ^wiia fm

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Page 1: w' fmd' i' ^Wiia fm
Page 2: w' fmd' i' ^Wiia fm

w' fmd' i' ^Wiia fm<& ixhqla; .Ks;h kj úIh ks¾foaYh 2017 jif¾ isg

Tn oek isáh hq;= uQ,sl lreKQ

1'1 ùcSh m%ldYk m%idrKh

3322babababa

2cba

1'2 ùcSh m%ldYkj, idOl

333322 bababa

ùc .Ks;h

Page 3: w' fmd' i' ^Wiia fm

1'3 ùcSh m%ldYk iq¿ lsrSu

1'4 iólrK úi|Su

003 332 axxx

123

532

yx

yx

1'5 o¾Yl iy ,>q m%ldYk

nmmn

mnmn

mnmn

aa

aaa

aaa

xnx

y

xyx

xyyx

an

a

aaa

aaa

loglog

logloglog

logloglog

a

xx

b

ba

log

loglog

Page 4: w' fmd' i' ^Wiia fm

1'6 wkqmd; ms<sn| wjfndaOh

fuh u kus muKla f,i lshjuq' d

c

b

adcba ::

Page 5: w' fmd' i' ^Wiia fm

2'1 cHdï;sl m%fush

mhs;.riaf.a m%fushh

b

a

c

222 cba

cHdï;sh

Page 6: w' fmd' i' ^Wiia fm

iq¿ fldaKSl m%fushh

ABC hkq iq¿ fldaKsl ;s%fldaKhla hehs .ksuq'

B C

A

D

BDBCBCABAC ..2222

Page 7: w' fmd' i' ^Wiia fm

uyd fldaKSl m%fushh

BDBCBCABAC ..2222

ABC hkq uyd fldaKsl ;s%fldaKhla hehs .ksuq'

C

A

B D

Page 8: w' fmd' i' ^Wiia fm

wemf,dakshia m%fushh

;s%fldaKhl TskEu mdo foll j¾.hkays ftlHh" f;jeks mdofhys wvl j¾.h iy f;jeks mdoh iupsfPaokh lrk uOHia:fhys j¾.fhys ftlHh fuka fo.=Khls'

ABC hkq ;s%fldaKhla hehso D hkq BC mdofhys uOH ,laIHh hehso .ksuq.

C

A

B D

2222 2 BDADACAB

Page 9: w' fmd' i' ^Wiia fm

2'2 mhs;.ria m%fushfha fhoSus

2'3 ;%sfldaKhl fldaK iupsfPaol iy fhoSus

B

C

A

D

c

b

b

c

AD hkq A fldaKfhys wNHka;r fldaK iupsfPaolh jk úg

.:: bcDCBD

Page 10: w' fmd' i' ^Wiia fm

.mn

m

c

b

AN hkq A fldaKfhys ndysr fldaK iupsfPaolh jk úg

B C

A

N m

b

c

n

fuu fldaK iupsfPaolh iusuqL mdoh b : c wkqmd;hg ndysrj fnohs. tkus ,

Page 11: w' fmd' i' ^Wiia fm

2'4 iurEmS ;%sfldaK ms<sn| wjfndaOh iy fhoSus

2'5 ;%sfldaK yd iusnkaê; jD;a; iy flakaø

Page 12: w' fmd' i' ^Wiia fm

mrsjD;a;h iy mrsflakaøh

tla tla mdofha ,usNn iupsfPaol yuq jk fmd¥ ,laIHh

Page 13: w' fmd' i' ^Wiia fm

,usNjD;a;h iy ,usNflakaøh

tla tla YS¾Ifha isg iusuqL mdohg we|s ,usN yuq jk fmd¥ ,laIHh

Page 14: w' fmd' i' ^Wiia fm

wka;:jD;a;h iy wka;: flakaøh

tla tla fldaKfha wNHka;r iupsfPaol yuq jk fmd¥ ,laIHh

Page 15: w' fmd' i' ^Wiia fm

ixhqla; .Ks;h fldgia follska iukaú;hs'

( 1 ) fldgi - Y=oaO .Ks;h ixrplh

ùc .Ks;h

l,kh

LKavdxl cHdï;sh

;%sfldaKï;sh

Page 16: w' fmd' i' ^Wiia fm

( 2 ) fldgi - jHjydrsl .Ks;h ixrplh

ia:s;slh

.;slh

iusNdú;djh

ixLHdkh

Page 17: w' fmd' i' ^Wiia fm

( 1 ) fldgi

Y=oaO .Ks;h ixrplh

Page 18: w' fmd' i' ^Wiia fm

ùc .Ks;h

1. ;d;a;aúl ixLHd

2. Y%s;

3. j¾.c Y%s;h

4. nyqmo Y%s;h

5. mrsfush Y%s;h

6. o¾Yl iy ,>q

7. wiudk;d

Page 19: w' fmd' i' ^Wiia fm

19. .Ks; wNHqykh

20. fY%aKs iy tajd wdl,kh

21. wmrsï; fY%aKs

22. oaúmo m%idrKh

23. ixlS¾K ixLHd

24. ixlrK iy ixfhdack

25. kHdi

ùc .Ks;h

Page 20: w' fmd' i' ^Wiia fm

l,kh

13. iSudj

14. wjl,kh

15. wjl,kh Ndú;fhka Y%s;hl yeisrSu

16. ksYaÉ; iy wksYaÉ; wkql,kh

Page 21: w' fmd' i' ^Wiia fm

LKavdxl cHdï;sh

17. LKavdxl ;,h

18. ir, f¾Ldj

26. jD;a;h

27. jD;a;hl cHdï;sl .=K

Page 22: w' fmd' i' ^Wiia fm

;%sfldaKï;sh

8. fldaKsl ïkqu

9. ;%sfldaKï;sl Y%s;

10. ;%sfldaKï;sl i¾jiduHh

11. ihska kS;sh iy fldaihska kS;sh

12. m%;sf,dau ;%sfldaKï;sl Y%s;

Page 23: w' fmd' i' ^Wiia fm

ixhqla; .Ks;h Y=oaO .Ks; ixrplh - ùc .Ks;h

1 ;d;a;aúl ixLHd

1'1 ;d;a;aúl ixLHd j¾.SlrKh úfYaIs; Wml=,l" m%dka;r iy cHdï;sl ksrEmKh

1'2 ;d;a;aúl ixLHdjl oYu ksrEmKh iy lrKs

Page 24: w' fmd' i' ^Wiia fm

2 Y%s;

2'1 tla úp,Hhla iys; Y%s; Y%s;hl w¾: oelaùu" jiu" iyjiu" kS;sh" mrdih iy m%;sìusnh

2'2 úfYaIs; Y%s; ksh;" tall" udmdxl" nyqmo" lvukska" tlg-tl" u;g iy m%;sf,dau Y%s;

Page 25: w' fmd' i' ^Wiia fm

3 j¾.c Y%s;h

3'1 j¾.c Y%s;fha .=K ye|skaùu" j¾. mQrKh" úfjsplh" wvq;u fyda jeä;u w.h" uQ,j, iajNdjh iy m%ia;drh

3'2 j¾.c iólrKhl uQ, uQ, ftlHh" .=Ks;h" uQ, we;=<;a iuï;sl m%ldYk iys; uQ, iys; j¾.c iólrK f.dv ke.Su" úfjsplh" mrsKduk

Page 26: w' fmd' i' ^Wiia fm

4 nyqmo Y%s;h

4'1 ye|skaùu 4'2 ftlHh" wka;rh" .=Ks;h iy fnoSu 4'2 fYaI m%fushh iy idOl m%fushh

Page 27: w' fmd' i' ^Wiia fm

5 mrsfush Y%s;h

5'1 Nskak Nd. fkdokakd ksh; 4la olajd

6'1 o¾Yl kshu iy ,>q kshu

6 o¾Yl iy ,>q

Page 28: w' fmd' i' ^Wiia fm

7 wiudk;d

7'1 wiudk;d ms<sn| uQ,sl ixl,am wiudk;d ixLHd f¾Ldfjs ksrEmKh

19'1 .Ks; wNHqyk uQ,O¾uh ye|skaùu iy tys fhoSus

19 .Ks; wNHqykh

7'2 ùcSh wiudk;d ùcSh f,i iy m%ia;drslj wiudk;d úi|Su

7'3 udmdxl wiudk;d úi|Su iy m%ia;drsl ksrEmKh

Page 29: w' fmd' i' ^Wiia fm

20 fY%aKs iy tajd wdl,kh

20'1 mrsï; fY%aKs iy tajdfha ,laIK 20'2 uQ,sl (mrsï;) fY%aKs iy ftlHh iudka;r fY%aKs" .=fKda;a;r fY%aKs iy iud-.=fKda;a;r fY%aKs

idOkh iy fhoSus

n

r

n

r

n

r

rrr

1

3

1

2

1

20'3 uQ,sl (mrsï;) fY%aKs wdl,k l%u wka;r l%uh" .Ks; wNHqyk uQ,O¾uh iy Nskak Nd. Ndú;h

Page 30: w' fmd' i' ^Wiia fm

21'1 wdxYsl ftlHh

wmrsï; fY%aKshl wNsidrs;djh/wmidrs;djh

21 wmrsï; fY%aKs

Page 31: w' fmd' i' ^Wiia fm

22 oaúmo m%idrKh

22'1 Ok ksÅ,uh o¾Yl i|yd oaúmo m%idrKh

m%idrKfha ,laIK iy idOkh

22'2 oaúmo m%idrKfha .=K

m%idrKfha mo iy ix.=Kl

Page 32: w' fmd' i' ^Wiia fm

23 ixlS¾K ixLHd

23'1 ixlS¾K ixLHd ye|skaùu

23'2 ixlS¾K ixLHd ùch

ixlS¾K ixLHd i|yd .Ks; l¾u

23'2 ixlS¾K m%;snoaOh

Page 33: w' fmd' i' ^Wiia fm

23 ixlS¾K ixLHd

23'4 ixlS¾K ixLHdjl udmdxlh iy tys ,laIK

23'5 wd¾.ka igyk iy ixlS¾K ixLHd ksrEmKh

23'6 o uqjdj¾ m%fushh

m%fushh ye|skaùu" idOkh iy ir, fhoSus

ninin

sincossincos n hkq ksÅ,hla jk úg

2n jk úg

cossin22sin

sincos2cos 22

nz ys úia;drh

23'7 úp,H ixlS¾K ixLHdjl m:h iy wd¾.ka igyfkys m%foaY

Page 34: w' fmd' i' ^Wiia fm

24 ixlrK iy ixfhdack

24'1 l%udfrdams; wxlkh

24'2 .Kka lsrSfus uQ,sl m%fush

24'3 ixlrK iy fhoSus

24'4 ixfhdack iy fhoSus

Page 35: w' fmd' i' ^Wiia fm

25 kHdi

25'1 kHdi ye|skaùu iy ,laIK

25'2 úfYaIs; kHdi

25'3 kHdihl fmr¿u iy kHdihl m%;sf,dauh

25'4 iu.dó iólrK kHdi Ndú;fhka úi|Su

Page 36: w' fmd' i' ^Wiia fm

ixhqla; .Ks;h Y=oaO .Ks; ixrplh - l,kh

13 Y%s;hl iSudj

13'1 iSudj ye|skaùu

13'2 iSudj ms<sn| m%fush

13'3 m%;sM,h 1

nnn

nna

ax

axLim

idOkh iy fhoSus

13'4 m%;sM,h 1sin

0

x

xLimn

idOkh iy fhoSus

Page 37: w' fmd' i' ^Wiia fm

13 Y%s;hl iSudj

13'5 tla w;a iSudj ol=K;a iSudj iy ju;a iSudj

13'6 wkka;fhaoS iSudj iy mrsfush Y%s;j, iSudj

;sria iam¾fYdakauqL

13'7 iSudj fkdmej;Su

isria iam¾fYdakauqL (tla w;a iSudj fhoSfuka)

13'8 Y%s;hl ika;;sl;djh

Page 38: w' fmd' i' ^Wiia fm

14 wjl,kh

14'1 Y%s;hl jHq;amkakh ms<sn| woyi

14'2 m%uQ, O¾uh

14'3 wjl,kh i|yd kS;s

14'4 m%;sf,dau ;%sfldaKï;sl Y%s; wjl,kh

14'5 m%lD;s >d;Sh Y%s;h iy th wjl,kh

14'6 m%lD;s ,>q Y%s;h iy th wjl,kh

14'7 wOHdND; Y%s;/mrdï;sl Y%s; wjl,kh

14'8 by< .Kfha wjl,k ix.=Kl

Page 39: w' fmd' i' ^Wiia fm

15 wjl,kh Ndú;fhka Y%s;hl yeisrSu

15'1 yereus ,laIH iy wjl,k ix.=Klh

15'2 k;sj¾;k ,laIH

15'3 jl% wkqf¾Lkh

15'4 m%fhda.sl wjia:d i|yd wjl,kh Ndú;h

Page 40: w' fmd' i' ^Wiia fm

16 wksYaÉ; iy ksYaÉ; wkql,kh

16'1 wksYaÉ; wkql,h

16'2 wkql,k kS;s

16'3 l,kfha uQ,sl m%fushh iy ksYaÉ; wkql,h

16'4 wkql,k l%u

16'5 i¾jiduH weiqfrka ;%sfldaKï;sl Y%s; wkql,kh

16'6 fldgia jYfhka wkql,kh

16'7 im¾hka; fmfoil j¾.M,h i|yd wkql,kh

16'8 jl% N%uKfhka ;efkk fmfoil mrsudj i|yd wkql,kh

Page 41: w' fmd' i' ^Wiia fm

ixhqla; .Ks;h Y=oaO .Ks; ixrplh - LKavdxl cHdï;sh

17 LKavdxl ;,h

17'1 ,laIH folla w;r ÿr

17'2 f¾Ld LKavhla wkqmd;hlg fnoSu

Page 42: w' fmd' i' ^Wiia fm

18 ir, f¾Ldj

18'1 ir, f¾Ldjl iólrKh

18'2 f¾Ld foll fPaok ,laIH Tiafia we;s fmdÿ f¾Ldjl iólrKh

18'3 f¾Ldjla wkqnoaOfhka ,laIH foll idfmalaI msysgqu

Page 43: w' fmd' i' ^Wiia fm

18 ir, f¾Ldj

18'4 f¾Ld folla w;r fldaKh

18'5 ,laIHhl isg f¾Ldjlg ÿr

26 jD;a;h

26'1 jD;a;hl iólrKh

Page 44: w' fmd' i' ^Wiia fm

27 jD;a;hl cHdï;sl .=K

27'1 jD;a;hla wkqnoaOfhka f¾Ldjl msysgqu

27'2 ndysr ,laIHhl isg jD;a;hlg we|s iam¾Yl

27'3 jD;a;hl iy f¾Ldjl fPaok ,laIH Tiafia we;s fmdÿ jD;a;hl iólrKh

27'4 jD;a;h foll idfmalaI msysgqu

27'5 jD;a; m%,usnj fPaokh

Page 45: w' fmd' i' ^Wiia fm

( 2 ) fldgi

jHjydrsl .Ks;h ixrplh

Page 46: w' fmd' i' ^Wiia fm

2 tal;, n,

1 ffoYsl ia:s;slh

3 p,s;h i|yd ksjsfgdakshdkq wdlD;sh

.;slh

4 wyUq isÿùus i|yd .Ks;uh wdlD;sh

iusNdú;djh

5 ;SrK .ekSu i|yd .Ks;uh wdlD;sh

ixLHdkh

Page 47: w' fmd' i' ^Wiia fm

ixhqla; .Ks;h jHjydrsl .Ks; ixrplh - ia:s;slh

1 ffoYsl

1'1 ffoYsl ye|skaùu

1'2 ffoYsl ùch

1'3 msysgqus ffoYsl

1'4 wosY .=Ks;h iy ffoYsl .=Ks;h

Page 48: w' fmd' i' ^Wiia fm

2 tal;, n,

2'1 wxY=jla u; n,

2'2 wxY=jla u; n, foll iusm%hqla;h

2'3 wxY=jla u; n, moaO;shl l%shdldrs;ajh

2'4 n, ;=kl l%shdldrs;ajh hgf;ys wxY=jl iu;=,s;;djh

2'5 oDv jia;=jla u; tal;, moaO;shl iusm%hqla;h

2'6 jia;=jla u; iudka;r n, foll l%shdldrs;ajh

2'7 oDv jia;=jla u; l%shd;au; n, moaO;shla úYaf,aIKh

Page 49: w' fmd' i' ^Wiia fm

2 tal;, n,

2'8 jia;=jla u; n, ;=kl iu;=,s;;djh

2'9 >¾IKh

2'10 ikaêhl iu;=,s;;djh i|yd n, moaO;sl ie,lSu

2'11 rduq iels,s

2'12 iuï;sl jia;=j, ialkaO flaka

2'13 wkql,kh fhoSfuka jia;=j, ialkaO flaka

2'14 ixhqla; jia;=j, ialkaO flaka

Page 50: w' fmd' i' ^Wiia fm

2 tal;, n,

2'15 .=re;aj flaka h

2'16 iu;=,s;;djfha we;s jia;=jl ia:dhs;djh

2'17 t,a,d we;s jia;=jl iu;=,s;;djh

Page 51: w' fmd' i' ^Wiia fm

3 p,s;h i|yd ksjsfgdakshdkq wdlD;sh

3'1 f¾Çh fm;l p,kh jk jia;=jla i|yd m%ia;dr

3'2 m%.;sl iólrK

3'3 idfmalaI p,s;h

3'4 ;,hla u; jia;=jl p,s;h

3'5 ;,hla u; jia;= foll idfmalaI p,s;h

3'6 idfmalaI p,s;fha m%dfhda.sl fhoSus

3'7 m%laIsma;

Page 52: w' fmd' i' ^Wiia fm

3 p,s;h i|yd ksjsfgdakshdkq wdlD;sh

3'8 wjia:s;sl rduqjloS ksjsgksf.a kshu

3'9 hdka;%sl Yla;sh

3'10 laIu;djh

3'11 wdfjs.h

3'12 m%;Hdia: .egqus

3'13 f¾Çh .uH;d ixia:s;s uQ,O¾uh

3'14 jD;a;dldr fm;l p,kfhaoS m%fjs.h iy ;ajrKh

Page 53: w' fmd' i' ^Wiia fm

3 p,s;h i|yd ksjsfgdakshdkq wdlD;sh

3'15 ;sria jD;a;dldr fm;l p,kh

3'16 issria jD;a;dldr fm;l p,kh

3'17 ir, wkqj¾;S p,s;h

3'18 ;sria f¾Çh fm;l isÿ jk ir, wkqj¾;S p,s;h ú.%y lsrSu

3'19 issria f¾Çh fm;l isÿ jk ir, wkqj¾;S p,s;h ú.%y lsrSu

Page 54: w' fmd' i' ^Wiia fm

ixhqla; .Ks;h jHjydrsl .Ks; ixrplh - iusNdú;djh

4 wyUq isÿùus i|yd .Ks;uh wdlD;sh

4'1 iiusNdù mrSlaIK

4'2 wyUq isÿùus i|yd iusNdú;d wdlD;s

4'3 wiusNdú iusNdú;djh

44 iajdh;a; isÿùus

4'5 fnshiaf.a m%fushh

ksheos wjldYh úNd.kh" uq¿ iusNdú;d m%fushh (idOkh iu.)

fnshiaf.a m%fushh

Page 55: w' fmd' i' ^Wiia fm

5 ;SrK .ekSu i|yd .Ks;uh wdlD;sh

5'1 ixLHdkh ye|skaùu

5'2 flakaˉsl m%jK;d ïkqus

5'3 ixLHd; jHdma;s

54 úisrSfus ïkqus

5'5 l=ál;djh