piri=q4oni yadi - inflibnetshodhganga.inflibnet.ac.in/bitstream/10603/3848/17/17_appendices.… ·...

$: piri=Q4onI yadI - INFLIBNETshodhganga.inflibnet.ac.in/bitstream/10603/3848/17/17_appendices.… · piri=Q4onI yadI k =aXaAo Ane tj\}aonI yadI ` pUvRkso4I g Aekm kso4IAo Aekmkso4I-1$
piri=Q4onI yadI

k =aXaAo Ane tj\}aonI yadI ` pUvRkso4I g Aekm kso4IAo

Aekmkso4I-1 Aekmkso4I-2 Aekmkso4I-3 Aekmkso4I-4 Aekmkso4I-5

Aekmkso4I-6 3 w]ar•s&kilt–kso4I c rss&=oi0nI 2 Sva)yayp{a j gi8t iKvz z =Exi8k na4k 4 ca4\sR 5 svRp/aPta&ksar8IAo (grand charts)

254

piri=Q4-•k–

p/Stut A_yasna p/yogo je =aXaAoma& kyaR hta temnI sUic p/yogo p/yog : 1 p/yog : 2 ivStar ALpivkist suivkist ivStar

=aXanu& nam Ane srnamu

[aI Aen.6I.=ukl nv@vn ha;Skul [aI n&du_aa: da. =uKl cok, `masa, jmalpur

Amdavad -380001

Ae. @. ha;Skul nvr&gpura

Amdavad – 380009

rss&=oi0nInI ckas8I ma4ena pram=R tj\}ao

k/m tj\}anu& nam hod\o

1. 6a$. ke. Aar. navi6ya inv<ä p/a)yapk, i=x8=aS{a

2. [aI. @. je. JoqI inv<ä p/a)yapk, -aOitk=aS{a

3. 6a$ Aes. Aen. =ukl nayb inyamk, i=x8 Ane s&=o0n t9a

p/a)yapk, meiDkl AoNkolo@

255

piri=Q4-•`– pUvRkso4I(Pre-test)

smy : 10.45 9I 11.30 kul gu8-25

p/Tyek iv0an sacu& bne tem g8trI d=aRvIne àlI jGya pUro. [j£rI Aak<it d=aRvvI] (1) jo A-B-C hoy t9a AB=10 Ane BC=8 to AC= . (2) Jo A-C-B t9a A ne s&gt (-5) Ane C ne s&gt 2 Ane AC=CB

hoy, to Bne s&gt ___ hoy. (3) reà`&Dne ____ Ane ikr8ne ____ A&Tyib&du hoy 2e. (4) jo P-Q-R t9a PQ=QR to ___ Ae ___ n&u m)yib&du 2e.

(A)

(5) be Aek£p Ù8a pUrk hoy, to Ae drek ____ hoy.

(10)

nIcenI Vya~ya Aapo. (1) ivQamtlIy ib&duAo (2) Ù8anu& i=roib&du (3) ka4ko8 (4) i{ako8

p/½ ‰ 1

(b)

(5) smko8 i{ako8

(5)

nIcena p/½ona 4U&kma& jvab Aapo. (1) ko: ib&du reà`&Dnu&& m)yib&du 9va ma4enI be =rto lò. (2) jo Ane s&gt s&~ya 3 Ane B ne s&gt s&~ya (-5) hoy, to ABna

m)yib&dune s&gt k: s&~ya h=e? (3) 118 mapna U8ana pUrkko8no ko4Iko8 ke4lo? (4) pUvR0ar8a Ane p/mey vCceno mu~y _aeed j8avo.

p/½ ‰ 2

(5) 3iDyaXnI dukanma& v0uma& v0u 120 3iDyaXo 2e A9R smjavo.

(10)

256

piri=Q4Ý•g-01– Aekm kso4I-1

smy : 10.45 9I 11.30 Kul gu8 -25

nIcena p/½ona jvab Aapo (1) iàko8na A&go ke4la&? Kya Kya? (2) smbaju iàko8nI Vya~ya Aapo, Aak<it doro. (3) smiμbaju iàko8nI Vya~ya Aapo, Aak<it doro. (4) ivqmbaju iàko8nI Vya~ya Aapo, Aak<it doro. (5) Aek£p iàko8onI Vya~ya lò Aak<it doro.

(A)

(6) Aek£p iàko8onI =rto j8avo. maGya mujb jvab Aapo.

12

(1) bababa, baÙba, =rtonI Vya~ya AapI namindeR=vaXI Aak<it dorI smjavo.

04(B)

(2) Uba U, U Uba, Ane kakbanI =rto namindeR=vaXI Aak<it dorI smjavo.

nIcena wdahr8 kro.

06

(1) Δ ABC smbaju iàko8 2e AB = 5 to BC Ane ACna map lò

02

p/½ ‰ 1

I

(2) Δ PQRma& PQ = QR=6 PR=7 to Δ PQR Kya p/karno iàko8 2e?

01

257

piri=Q4Ý•g-02–

Aekm kso4I-2 smy : 10.45 9I 11.30 Kul gu8 -25

nIcena p/½ona jvab l`o (1) Δ ABCma& BC = 3 Ane AC = 5 hoy t9a X < AB < Y 2e to X Ane Y

=o0o. (2) Δ XYZma& XY=9 Ane XZ=13 2e jo a < YZ < b hoy to a Ane bna&

mULyo =o0o. (3) Δ ABCma& m∠A = 65 Ane m∠B = 60 2e to iàko8nI sO9I mo4I Ane

sO9I nanI baju k: h=e? (4) Δ ABCma& m∠A = m∠B + m∠C 2e t9a m∠B = 40 hoy to sO9I

nanI Ane sO9I mo4I baju k: h=e? (5) Aek iàko8nI bajuAona map Anuk/me 6,8 Ane 200 2e Aa iàko8 dorvo

=Ky 2e? kar8 Aapo. (6) Aek iàko8nI bajuAona map 5,5,5 2e to Aa iàko8 dorvo =Ky 2e? kar8

Aapo. (7) Δ ABCma& AB=10 Ane AC =7 hoy t9a BC > X to X =o0o.

p/½ ‰ 1

(8) Δ XYZma& XY=7 Ane YX=3.5 hoy t9a ZX < Y to Y =o0o.

16

nIcenI ivgt d=aRvtI Aak<it doro (1) ⎯→⎯PQ ⊥ ⎯⎯→← XY , PQ ∩ XY = {B}

(A)

(2) ⎯⎯→←PQ ⊥ XY , PQ ∩ XY = {X}

04p/½ ‰ 2

(B) saibt kro ke ctuQko8na ivk8oRna mapno srvaXo tenI pirimit krta& Ao2o hoy 2e.

05

258


smy : 10.45 9I 11.30 Kul gu8 - 25

nIcenI Vya~ya Aapo [Aak<it dorvI j£rI 2e] (1) l&breàAo (2) l&breà`&6 (3) re a &6no l&biμ_aajk

(A)

(4) ib&du p9 (5) ib&du9I reànu& A&tr

10

nIcena p/½ona jvab Aapo. (1) l&breà`&6no l&bpad kone khe 2e? (2) re a &6no l&biμ_aajk k: be =rtonu& paln kre 2e? (3) be reàAo AekbI@ne l&b 2e Aem Kyare khevay? (4) Jo ib&du A Ae reà l pr Aavelu& hoy to A 9I l nu& A&tr ke4lu& hoy? (5) Δ ABCma& AB < BC < AC to iàko8no sO9I mo4o U8o Kyo?

(B)

(6) Δ ABCma& m∠A > m∠B + m∠C to iàko8nI sO9I mo4I baju k:?

12

I nIcena iv0ano saca& 2e ke ò4a& te j8avo. (1) re a &6no l&biμ_aajk te reà`&6ne du_aage 2e. (2) iàko8nI à8 bajuAona map 1, 2, 3 ho: =ke 2e.

p/½ ‰ 1

(3) iàko8nI ko: p8 be bajuAona mapno tfavt àI@ baju krta& v0are hoy 2e.

3

259


smy : 10.45 9I 11.30 Kul gu8 - 25 (A) saibt kro ke Aapela bharna ib&duma&9I psar 9ay Ane te reàne sma&tr

hoy AevI Ao2ama& Ao2I Aek re a 2e. 04

Vya~ya Aapo. (1) smtlIy reàAo (2) ivqmtlIy reàAo

(B)

(3) sma&tr reàAo

03

p/½ ‰ 1

(C) saibt kro ke Δ ABCma& AB ≅ AC Ane AD m)yga 2e. jo smtl ABCma& ⎯⎯→← AP ⊥ AD hoy to saibt kro ke BC || ⎯⎯→← AP 2e.

04

nIcenI àlI jGya pUro (1) be re aAo prSpr 2edva9I bnta samsamena U8aAone

_______khevay 2e. (2) be re aAo prSpr 2edva9I bnta paspasena Ù8aAonI jo6ne

_______khevay. (3) be sma&tr re aAo h&me=a _______hoy 2e. (4) be i_aNn smtlIy re aAone be i_aNn ib&duAoma& 2edtI re ane

_______khevay. (5) be re aAone Aek 2eidka v6e 2edva9I yuGmko8onI _______jo6

bne 2e.

(A)

(6) be re aAone Aek 2eidka v6e 2edva9I Anuko8onI _______jo6 rcay 2e.

06

nIcenI Aak<it pr9I ma&gelI maihtI j8avo. (1) Anuko8nI jo6 lò. (2) yuGmko8nI jo6 lò. (3) 2eidkanI Aek bajuna

A&tŠko8o lò.

p/½ ‰ 2

(B)

(4) m∠PQD = 62 to bakIna Ù8aAona map j8avo.

t P C Q D l A R B m S

08

260


smy : 10.45 9I 11.30 Kul gu8 - 25

KO&sma& Aapela ivkLpoma&9I saco ivkLp ps&d krI nIcena& iv0anoma& àlI jGya pUro ‰ (1) Jo Δ ABCma& AB > AC to m∠C_______m∠B [=, >, <](2) Jo Δ ABCma& m∠A > m∠B to AC_______BC [=, >, <](3) Δ PQRma& m∠P = 40, m∠Q = 80 to iàko8nI sO9I mo4amapnI baju

_______2e. [ PQ , QR , PR ] (4) Δ ABCma& AB = AC Ane AB > BC, to iàko8no sO9I nana mapno

Ù8o______2e. [A, B, C] (5) Δ ABCma& m∠B > m ∠C > m∠A to iàko8nI mo4ama& mo4I

baju_______2e Ane nanama& nanI baju_______2e. [ ,AB ,BC CA] (6) Δ ABCma& m∠B = 90 hoy, to AB_______AC [>, =, <](7) Δ ABCma& AB = 5, BC = 9 to AC nu& map_______krta& Ao2u&

Ane_______ krta& v0are hoy. [4, 9, 14] (8) Δ ABCma& AB = 8, BC = 12 Ane x < AC < y hoy, to x =_______

Ane y = _______. [4, 8, 20] (9) Δ ABCma& AB ≅ AC Ane B-C-D 9ay tevu& ib&du D 2e. jo m∠ACD = 130

to m∠A =_______. [50, 80, 130]

p/½ ‰ 1

(10) smtlma& reà`&6ne l&b Ane te re a &6na m)yib&duma&9I psar 9tI reà_______2e. [reà`&6no l&biμ_aajk, ko8iμ_aajk, sma&tr]

10

nIcena& iv0ano saca& 2e ke ò4a& te j8avo ‰ (1) re a &6no l&biμ_aajk te reà`&6ne du_aage 2e. (2) iàko8nI à8 bajuAona& map 2, 3 Ane 5 ho: =ke. (3) iàko8nI be bajuAona mapno srvaXo àI@ bajuna map krta& Ao2o

hoy. (4) re a pr Aapela ib&duma&9I reàne Aek j l&b dorI =kay.

•A–

(5) Jo ⎯⎯→←PQ ⊥ ⎯⎯→← AB Ane ⎯⎯→←RQ ⊥ AB hoy, to ⎯⎯→←PQ = ⎯⎯→←QR

05p/½ ‰ 2

•b– Vya~ya Aapo ‰ (1) l&breàAo (2) re a &6no l&biμ_aajk 02•A– saibt kro ke, jo iàko8ma& be U8aAo Asman hoy, to mo4a U8anI samenI

baju nana Ù8anI samenI baju krta& mo4I hoy 2e. 04p/½ ‰ 3

•b– Δ ABCma& D, E, F Anuk/me AB , BC Ane AC na& m)yib&duAo 2e. saibt kro ke, AE + BF + CD < AB + BC + AC

04

261


smy : 10.45 9I 11.30 Kul gu8 - 25

Vya~ya Aapo ‰ (1) smtlIy reàAo (3) sma&tr reàAo

p/½ ‰ 1

(2) ivqmtlIy reàAo (4) be reàAonI 2eidka

04

nIcenI Aak<itna s&d_aRma& nIcena& iv0ano saca& 2e ke ò4a& te j8avo ‰ (1) ⎯⎯→←BC Ane ⎯⎯→← AD smtl αma& 2e. te9I

⎯⎯→←BC Ane ⎯⎯→← AB smtl αma& 2e. (2) ⎯⎯→←DH Ane ⎯⎯→←CE smtl βma& 2e. te9I

C, D, E, H ib&duAo smtlIy 2e. (3) ⎯⎯→← AD Ane ⎯⎯→←GA smtl γma& 2e. te9I te

sma&tr reàAo 2e.

(4) smtl α Ane βno 2edg8 ⎯⎯→←CD 2e. (5) ⎯⎯→← AD Ane ⎯⎯→←GA sma&tr reàAo 2e. (6) ⎯⎯→← AD , ⎯⎯→←DH Ane ⎯⎯→←CD prSpr 2edtI re aAo hova9I smtlIy

reàAo 2e. (7) ⎯⎯→←CD Ane ⎯⎯→←EF prSpr 2edtI re aAo 2e. (8) ⎯⎯→← AB Ane ⎯⎯→←GH ivqmtlIy reàAo 2e. (9) α ∩ B∩γ = {D}

p/½ ‰ 2

(10) ⎯⎯→← AD ∩ ⎯⎯→←GF = φ te9I ⎯⎯→←AD || ⎯⎯→←GF

10

nIcenI Aak<itna s&d_aR&ma& nIcena& U8aAonI Vya~ya Aapo ‰ (1) yuGmko8 (2) Anuko8o

p/½ ‰ 3

(3) 2eidka tnI Aek j bajuna A&tŠko8o

03

Aak<itma& l Ane mnI 2eidka t 2e. te9I bnta nIcena u8aAonI b0I jo6 lò. (1) yuGmko8onI jo6 (2) Anuko8onI jo6

p/½ ‰ 4

(3) 2eidkanI Aek j bajuna A&tŠko8onI jo6

08

t A X l P B C Q m Y D

262

piri=Q4-•3– w]ar•s&kilt–kso4I

ivqy ‰ gi8t smy : 10.45 9I 11.30 0or8 ‰ 9 Kul gu8 - 50

•A–

saibt kro ke iàko8nI be bajuAonI l&ba:no srvaXo àI@ bajunI l&ba: krta& Ai0k hoy 2e.

(4)

g8trI krIne jvab =o0o •Aak<it dorvI j£rI 2e– (1) Δ ABCma& AB = 14 Ane AC = 16 2e jo x < B C < y hoy

to x Ane yna mULyo =o0o. (2) Δ PQRma& PQ ≅ QR 2e Ane P-R-D 9ay tevu ib&du D 2e. jo

m ∠QRD=100 hoy to Δ PQRma& k: baju sO9I nanI 2e. (Aak<it doro, g8trIma& inym j8avo)

(3) Δ ABCma& m∠A : m∠B : m∠C = 2:3:4 hoy, to iàko8na à8e U8aAona map =o0o.

(4) Δ ABCma& ∠B Ane ∠Cna iμ_aajko I ma& 2ede 2e. jo m∠A=90 hoy to, m∠BIC =o0o.

(5) reà l||m Ane 2eidka t temne P Ane Q ib&duAoma& 2ede 2e. Aa9I bnta Aa5 Ù8aAo pEkI Aek Ù8anu& map 32 2e to bakIna sat Ù8ana map =o0o

•b–

(6) ΔABCma& m∠A = 62 Ane m∠B = 48 to sO9I mo4a mapnI Ane sO9I nana mapnI baju k: te =o0o.

(12)

p/Tyek iv0an sac&u bne Ae rIte àlI jGya pUro. (1) jo A∈l to A9I reà lnu& A&tr________ hoy 2e (2) Δ PQRma& m∠P = 60 Ane m∠Q = 30 hoy, to

________sO9I mo4a mapnI baju 2e. (3) Aek j smtlma& AavelI reàAo________reeàAo khevay.

p/½ ‰ 1

•k–

(4) be re aAo prSpr 2edva9I bnta samsamena Ù8aAone________khevay.

(4)

•A– jo be i_aNn smtlIy reàAone ko: Aek 2eidka 2ede Ane te9I bnta yuGmko8onI jo6 Aek£p 9ay to be re aAo sma&tr 2e saibt kro.

(4)

nIcenanI Vya~ya Aapo. •Aak<it dorvI j£rI 2e– (1) reàAonI 2eidka (3) ib&du9I reànu& A&tr

p/½ ‰ 2

•b–

(2) re a &6no l&biμ_aajk (4) Anuko8o

(4)

263

nIce AapelI Aak<itma& ⎯⎯→← AB || ⎯⎯→←CD 2e. ⎯→← xy temnI 2eidka 2e Aapel Ù8ana map pr9I ma&gela Ù8ana& map lò Ane Kya gu80mRne Aa0are te map 9ay te d=aRvo.

x 1 2 A 4 3 B 5 6 C 8 7 D

(1) m∠1 = 50 to m∠5 = _______. (2) m∠4 = 55 to m∠6 = _______. (3) m∠6 = 70 to m∠8 = _______.

•k–

(4) m∠5 = 130 to m ∠6 =_______.

(4)

•A– saibt kro ke iàko8na à8 U8aAona mapno srvaXo ÓÚÒ 9ay 2e.

(4)

nIcena p/½ona jvab lò •j£r j8ay Tya& Aak<it Av+y dorvI– (1) be reàAo sma&tr hova ma4enI =rto lò. (2) Δ ABCma& m∠A = 72 Ane ∠Bnu& map U8a ∠Cna map9I

bm8u& 2e to te iàko8 Kya p/karno 2e? (3) sma&trnI pUvR0ar8a lò. (4) Δ PQRma& PQ = PR Ane ∠PRD bihQKo8 2e m∠P = 40

hoy to m∠PRD =o0o

p/½ ‰ 3

•b–

(5) be reàAo smtlIy hoy to tena ma4e Kya ivkLpo =Ky bne?

(10)

264

piri=Q4Ý•c–

gi8tivqyk rss&=oi0nI ‰ gi8t mne gme 2e? hu& vgRma& gi8tivqyna i=x8kayR v`te )yan AapI _a8u& 2u&.

(2) hu& gi8tna tasma& i=xkna p/½ona jvab Aapu& 2u&

1 Kyarey nih 3 mo4a_aage 1 Kyarey nih 3 mo4a_aage

(1)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a hu& gi8tne lgta mud\anI ccaRma& _aag lw& 2u&. (4) hu& gi8tivqyma& n smjata mud\aAo ivqe i=xkne

pU2I smjUtI meXvu& 2u&. 1 Kyarey nih 3 mo4a_aage 1 Kyarey nih 3 mo4a_aage

(3)

2 ko:k v`t 4 h&me=a 2 ko:k v`t 4 h&me=a hu& gi8ti=xknI rjUAatma& _aUl j8ay to ivna s&koce sacI maihtI j8avu& 2u&.

(6) hu& gi8tna& p/kr8 Agaw9I •vgRma& caLya phela&– va&cI lavu& 2u&.


(5)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a mne gi8tivqy _a8vo gme 2e. (8) mne gi8tivqyma& nvu& nvu& ja8vanI ij}aasa

9ay 2e. 1 Kyarey nih 3 mo4a_aage 1 Kyarey nih 3 mo4a_aage

(7)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a hu& b0a ivqyo krta& gi8tnu& g<hkayR sO9I phelu& kru& 2u&.

(10) mne gi8tnI Sva)yaypo9I _arvI gme 2e.


(9)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a hu& gi8tnI Sva)yaypo9I wpra&t bI@ p/eiK4sbukna wdahr8 kru& 2u&.

hu& gi8tnI p/$iK4sbuk jeva bIja wdahr8o jate bnavu& 2u&.


(11)

2 ko:k v`t 4 h&me=a

(12)

2 ko:k v`t 4 h&me=a hu& i=xke sUcvela gi8tna& bIja puStko va&cu& 2&u.

hu& gi8tna iviv0 mu¥aAo Aa0airt ca4\sR ke icào bnavu& 2u&.


(13)

2 ko:k v`t 4 h&me=a

(14)

2 ko:k v`t 4 h&me=a hu& gi8tna iviv0 mu¥aAo Aa0airt ma$e6el, sa0n bnavu& 2u&.

hu& gi8tna sa0no bnavvama& i=xkne mdd kru& 2u&.


(15)

2 ko:k v`t 4 h&me=a

(16)

2 ko:k v`t 4 h&me=a

265

piri=Q4Ý•c– gi8tivqyk rss&=oi0nI ‰ gi8t mne gme 2e?

hu& gi8tm&6XnI p/v<iäma& _aag lw 2u&. hu& iv}aanmeXanI gi8tne lgtI p/v<iäma& _aag lw &2u&.


(17)

2 ko:k v`t 4 h&me=a

(18)

2 ko:k v`t 4 h&me=a hu& iv}aanmeXa temj gi8tne lgta& p/d=Rno jova jaw& 2u&.

hu& koMyuin4I sayNs seN4r jeva gi8tÝiv}aanna keN²onI mulakate jaw 2u&.


(19)

2 ko:k v`t 4 h&me=a

(20)

2 ko:k v`t 4 h&me=a gi8tna Aava seN4roma&9I hu& gi8tne lgta& wpyogI puStkonI `rIdI kru& 2u&.

hu& gi8tne lgtI hrIfa:Aoma& _aag lw 2u&.


(21)

2 ko:k v`t 4 h&me=a

(22)

2 ko:k v`t 4 h&me=a hu& gi8tne lgta& vk\t<Tv, inb&0le`n, p/½oärI iKvz vgerema& _aag l: n&br lavu& 2u&.

mne 4I.vI. prnI i6SkvrI jevI iviv0 cenlo pr gi8tÝiv}aanne lgta kayRk/mo jova gme 2e.


(23)

2 ko:k v`t 4 h&me=a

(24)

2 ko:k v`t 4 h&me=a hu& fursdna smye gi8tgMmt, gi8tma& Avnvu& vgere jevu& ANy saihTy va&cu 2u&./

hu& gi8tne lgta puStko, samiyko vgere puStkalyma& j: va&cu 2u&.

1 Kyarey nih& 3 mo4a_aage 1 Kyarey nih 3 mo4a_aage

(25)

2 ko:k v`t 4 h&me=a

(26)

2 ko:k v`t 4 h&me=a hu& gi8tma& jate nvu& =o0elu& gi8tÝiv}aanna i=xkne btavu& 2u& Ane =aXana bulei4n bo6R pr mUku& 2u&.

hu& gi8tna koy6aAo jate wkelu& 2u&.


(27)

2 ko:k v`t 4 h&me=a

(28)

2 ko:k v`t 4 h&me=a hu& gi8tna koy6aAo jate bnavu&u& 2u&. mne gi8t=aSàIAona @vncirào va&cva gme

2e. 1 Kyarey nih 3 mo4a_aage 1 Kyarey nih 3 mo4a_aage

(29)

2 ko:k v`t 4 h&me=a

(30)

2 ko:k v`t 4 h&me=a

266

piri=Q4Ý•c– gi8tivqyk rss&=oi0nI ‰ gi8t mne gme 2e?

hu& smacarpào, megeiznma&9I gi8tna le , Avnvu&, icào, Aak<itAo, rmto sha)yayIAone btavu& 2u& Ane ccaR kru& 2u&.

hu& gi8tivqyne lgta iviv0 s&g/ho kru& 2u&.


(31)

2 ko:k v`t 4 h&me=a

(32)

2 ko:k v`t 4 h&me=a hu& gi8tivqynI no4ma& sara suvaCy Axre no&0 kru& 2u&.

hu& _aUimitnI ra:6ro, gi8tna KU4p½o jate wkelu& 2u&.


(33)

2 ko:k v`t 4 h&me=a

(34)

2 ko:k v`t 4 h&me=a hu& =aXama&9I AapelI gi8tnI p/v<iäAo rs9I kru& 2u&.

(36) hu& gi8tivqyma& sara gu8 lavva s`t mhent kru& 2u&.


(35)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a hu& p/a9Rnas_aama& gi8tivqyne lgtI rjUAat kru& 2u&.

(38) mara gi8tivqyma& pUrepUra gu8 Aave 2e.


(37)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a hu& gi8tivqyma& rhI gyelI zI&8ama& zI&8I kca= dUr krva valInI mdd lw 2u&.

(40) hu& gi8tnu& v0aranu& g<hkayR, p/$iK4svkRna wdahr8 gi8ti=xkne tpasva Aapu& 2u& Ane magRd=Rn meXvu& 2u&.


(39)

2 ko:k v`t 4 h&me=a

2 ko:k v`t 4 h&me=a no&0 ‰ gi8tÝiv}aanma& krelu& Avnvu& kam t9a hrIfa:ma& mXelI isi³Aonu& 4U&kma& v8Rn kr=o.

267

piri=Q4 Ý•2– Sva)yayp{a

p/½ ‰ Ó sma&trnI pUvR0ar8a lò.

nIcenI Aak<itma& l||m 2e t9a t 2eidka 2e, to tena s&d_aRma& nIcena& iv0anoma& àlI jGya pUro ‰ (1) ∠APX Ane_______Anuko8o 2e. (2) ∠APQ Ane∠PQC_______2e. (3) ∠APQ Ane ∠PQD_______2e. (4) m∠BPQ +m∠PQD_______2e. (5) m∠APQ = 70 to m ∠PQD_______. (6) m∠BPQ = 120 to m∠PQD_______. (7) m∠APX = 100 tom∠DQY_______.

t x

A B l P

m C Q D

Y

(8) ∠PQCno yuGmko8 _______, Anuko8 _______ Ane 2eidkanI Aek j bajuno A&tŠko8 2e.

(9) ∠BPQ Ane ∠PQC Ae_______p/karna U8aAo ho:_______2e.

p/½ ‰ Ô

(10) ∠PQD Ane_______2eidkanI Aek j bajuna A&tŠko8o hova9I teAo _______2e. p/Tyek iv0an sacu& bne Ae rIte àlI jGya pUro

Δ ABCma& B-C-D 9ay tevu& ib&du D 2e, to_______ bihQko8 2e Ane _______t9a (1) _______tena A&tŠs&mu` ko8o 2e.

(2) Δ ABCma& m∠A = 60, m∠B=70 to m∠C =_______ (3) Δ ABCma& B-C-D 2e t9a m∠ACD =130 to m∠C =_______ (4) Δ ABCma& AB ≅ AC t9a m∠B=70 jo B-C-D hoy to, m∠ACD = _______ (5) Δ ABC smbaju iàko8 2e t9a B-C-D 2e, to m∠ACD =_______ (6) Δ ABCma& ∠B Ane ∠Cna iμ_aajko Ima& 2ede 2e. jo m ∠A = 50 hoy, to m∠BIC

=_____ (7) Δ ABCma& ∠A Ane ∠Cna iμ_aajko Ima& 2ede 2e. jo m∠AIC = 130 hoy, to m∠B

=____ (8) Δ ABCma& m∠A + m∠B = 100 Ane m∠B+m∠C = 130 to m∠B =_______ (9) Δ ABCna à8e U8aAona& map 2:3:5na p/ma8ma& 2e, to Δ ABCna sO9I mo4a U8anu&

map_____2e. (10) Δ ABCma& m∠A = m∠B + m∠C hoy , to m∠A = _______ (11) Δ ABCma& 2m∠A=3m∠B=6m∠C hoy, to m∠A = ____Ane m∠B =______ (12) Δ PQRma& m∠P = x+10, m∠Q = 3x-40, m∠R = 2x-30 to m∠Q =_______

p/½ ‰ Õ

(13)

Δ ABCma& DAe BC nu& m)yib&du 2e. jo AD ≅ BD to m∠A =_______

268

nIcena da`la g8o ‰ (1) Δ ABCma& m∠A=3x, m∠B=4x Ane m∠C=5x Hoy, to te iàko8na à8e U8ana&

map =o0o. (2) Δ PQRna U8aAona& map 1:2:3na p/ma8ma& 2e, to iàko8na à8e U8ana& map =o0o. (3) Δ DEFma& m∠D = 6m∠E = 3m∠F 2e, to tena U8aAona& map =o0o. (4) Δ ABCma& AB ≅ AC 2e. jo m∠A = 70 hoy, to m ∠B Ane m∠C =o0o. (5) Δ ABCna be bihQko8ona& map 120 Ane 130 2e, to Δ ABCna à8e `U8aAona& map

=o0o.

p/½ ‰ Ö

(6) Δ ABCma& ∠B Ane ∠Cna iμ_aajko Ima& 2ede 2e. jo AB≅ AC hoy t9a m∠B =70 to m∠BIC t9a m ∠ICB =o0o.

p/½ ‰ × Δ ABCma& m∠A + m∠B + m∠C = 180 2e Aem saibt kro •p/mey 18– p/½ ‰ Ø Δ ABCma& ∠B Ane ∠Cna iμ_aajko prSpr Ima& 2ede 2e. saibt kro ke,

m∠ BIC = 90 + ½ m∠A p/½ ‰ Ù Δ ABCma& D Ae BC nu& m)yib&du 2e. jo AD ≅ BD hoy, to saibt kro ke, ∠A ka4 U8o 2e.

269

piri=Q4Ý•j– gi8t iKvz kul gu8 -25

nIcenama& gi8tno Kyo is³a&t smayelo 2e te j8avo. •3 jU9, drekne 2 p/½ Aave–•kaca kamma& Aak<it pa6I =ka=e–

(1) Δ ABCma& AB + BC > AC k jU9 (2) Δ ABCma& AB - BC < AC

` jU9 (3) Ka4ko8 iàko8 ABCma& ∠B ka4 U8o 2e to AC>BC, AC>AB.

(4) Δ ABCma& AB = 8 BC = 10 ∴ m∠C < m∠A

g jU9 (5) ΔPQRma& m∠P = 40 m∠Q = 60 ∴ QR < PR

•A–

(6) AB∩ PQ = φ ∴ AB || PQ

(4)

Vya~ya Aapo •3 jU9 drekne 3 p/½o, 1 p/½ bons gu8– (1) smtlIy reàAo (6) ib&du9I reànu& A&tr (2) l&breàAo (7) ivqmtlIy reàAo (3) A&tŠko8 (8) reàAonI 2eidka (4) bihQko8 (9) yuGmko8

•Aa–

(5) re a &6no l&biμ_aajk (10) Anuko8o

(3)

nIcena p/½ona jvab Aapo •drek jU9ne 3 p/½o– •kaca kamma& Aak<it pa6I =ka=e– (1) Δ ABC ma& m∠A = 62 Ane m∠B = 48 To sO9I mo4a mapnI baju

k:? (2) Δ XYZma& m∠x = 30 Ane m∠y = 60 to sO9I nana mapnI baju

k:? (3) 2, 4, 12 map v6e iàko8 rcI =kay? (4) be reàAo AekbIjane l&b 2e Aem Kyare khevay? (5) be re aAone Aek 2eidka 2edva9I Anuko8onI ke4lI jo6 bne? (6) be re aAo sma&tr hova ma4enI =rto j8avo. (7) reà lne l&b hoy AevI ko: Aek smtlma& ke4lI reàAo ho: =ke? (8) iàko8 ABCma& AB = 5 Ane CA = 10 hoy to àI@ baju BCnu&

map k: be s&~yaAonI vCce hoy?

p/½ ‰1

•:–

(9) be sma&tr reàAonI 2eidka9I bnta yuGmko8o vCce =o s&b&0 hoy?

(6)

270

nIcena iv0ano saca& 2e ke ò4a& te j8avo •drek jU9ne 5 p/½o z6p9I– (1) ivqmtlIy reàAo sma&tr na hoy. (2) be re aAo AekbI@ne 2ede nih to te sma&tr hoy. (3) iàko8na à8e U8ana mapno srvaXo Ao2ama& Ao2o 180 hoy 2e.(4) iàko8na bihQko8nu& map tena A&tŠs&mu ko8na map je4lu& hoy.

k jU9

(5) smbaju iàko8na b0a bihQko8ona map srà hoy 2e. (1) Ka4ko8 iàko8ma& ko: p8 be U8ana mapno srvaXo àIja U8ana

mapnI brabr hoy 2e. (2) iàko8na ko: p8 be Ù8ana mapno srvaXo àIja Ù8ana map

krta& Ai0k hoy. (3) be i_aNn smtlIy re aAo l Ane m ne 2eidka t 2ede te9I bnta

yuGmko8nI jo6 Aek£p 9ay to l ||m. (4) be sma&tr re aAone Aek reà 2edva9I Anuko8nI Aa5 jo6 bne.

` jU9

(5) reà l ne l&b hoy tevI Aek j re a hoy.

(5)

(1) Δ ABCma& ∠B ka4Ù8o 2e te9I AC sO9I mo4I baju 2e. (2) Δ ABCma& AB=4, BC = 6 Ane AC = 10 =Ky 2e. (3) Δ ABCma& m∠A = 125 Ane m∠C = 48 to AC Ae iàko8nI

sO9I nanI baju 2e. (4) Δ ABCma& AB ≠ AC tom∠C ≠ m∠B.

p/½ ‰2

g jU9

(5) BCno l&biμ_aajk AD 2e D∈ BC, to m∠ADB = 90 •A– bo6R pr AavI Aak<it doro.k jU9 (1) ⎯⎯→←PQ ⊥ ⎯⎯→← XY , PQ∩ XY = φ

` jU9 (2) ⎯⎯→← AB || ⎯⎯→←CD Ane 2eidka XY temne P Ane Q ib&duAoma& 2ede 2e.

g jU9 (3) ΔABCma& ∠B ka4Ù8o 2e. BM ⊥ AC BC Ae re a lno wpg8 2e.

(3)

•Aa– bo6R pr AavI g8trI kro. k jU9 (1) Δ ABCma& m∠A: m∠B: m∠C = 2 : 3 : 4 hoy to iàko8na

à8e Ù8aAona map =o0o. ` jU9 (2) m∠A = x + 25, m∠B = x + 15, m∠C = x-10 to Δ

ABCna à8e U8ana map =o0o,

p/½ ‰3

g jU9 (3) Δ ABCma& B-C-D 2e jo m∠ACD = 130 t9a AB ≅ BC to m∠B =o0o.

(4)

271

piri=Q4-•z–

___aaa UU U iiimmmiiittt AAA333rrrIII nnn999III --- AAAee ekkk ===EE Exxxiii888kkk nnnaaa444kkk

paàoŠÝ

•Ó– gi8ti=ixka •Ô– baXkÝÉŠ idvan smIna •Õ– baXkÝÊŠ kadrI fzIla •Ö– baXkÝËŠ =ukl ma0vI •×– baXkÝÌŠ vaka8I form •Ø– baXkÝÍŠ pa5k k&dpR •Ù– baXkÝÎŠ p4el 0vl •Ú– baXkÝÏŠ =ukl wQma

¼+y ÝÉ

•p6do `Ule 2e Tyare be bhenp8IAo 0or8ÝÚ Ane 0or8ÝÛnI _aUimit sa9e be5elI njre p6e 2e. b ena chera wdas Ane r6ms 2e.– smInaŠ fzIla, jo ne mne to Aa _aUimitma& k=I j smj p6tI n9I. •r6I p6e 2e.– fzIlaŠ r6 nhI&, Aem to mne p8 9o6I 9o6I j p6e 2e. `re`r to Aa5ma 0or89I j _aUimit

A3rI lage 2e. smInaŠ •Aa&su lU2I na&`Ine– ja, ja. hve tu& to gi8tma& pas to 9: jay 2e. tare =I

ic&ta? fzIlaŠ smIna, Aem pais&g makR Aave Ae4la9I na cale. gi8t to Skor krvano ivqy 2e

Ane 0or8ÝÓÒ ma& sara 4ka nhI& Aave to mne to w5a6I j le=e. •ma0vI form sa9e da`l 9ay 2e.–

ma0vIŠ Are! tme b e AhIya 2o? smIna, tu& r6tI lage 2e. =u& 9yu&? formŠ irsesma& to _a8vanu& 2o6o, _aa:, calo rmIAe. fzIlaŠ tmara jeva hoi=yarne rmvanu&. Amne to juAone Aa _aUimitma& smj j n9I p6tI.

Ae4le ic&ta krta hta. ma0vIŠ Aa _aUimit 2e j AevI. tkR=aS{a wpr Aa0airt 2e Aevu& bhen kheta& hta&. Ae4le tkR

krvana. iv0an kro p8 Aenu& sm9Rn Aapo. iv0anÝsm9Rn iv0anÝsm9Rn. •rmt krtI krtI bole 2e.–

smInaŠ •kane ha9 d:– bs, bs. hve k&: smj p6e Aevu& bolo. maru& to ma9u& fa4e 2e. formŠ tu& nkamI ic&ta kre 2e. cal, `s, besvanI jga kr. •sa9e b&ne besI jay 2e.–

va&c _aUimit.

272

fzIlaŠ le, Aa Aa5ma 0or8no phelo pa5 pk6. mne Aema& smtl, reàAo, i{ako8nI Aek£pta Ae b0ama& smj p6tI n9I.

ma0vIŠ Aap8e roj Aek Aek mu¥o l:=u&. Aek smja: jay p2I bIjo. tu& ilS4 bnavI de Ane p2I jra hstu& mo7u& kr. tara jevI rmityaX 2okrIne Aavu& dIvel pI0elu& mo7u& saru& n9I lagtu&.

smInaŠ •hse 2e.– hve mne =a&it 9=e. hu& n smjata 4oipknu& ilS4 krI dw&. AavtIkal9I calu krI=u&. •b0a j Aan&d9I 2U4a p6e 2e.–

¼+y Ý Ê

•ma0vI, k&dpR, form, wQma, 0vl b0a& -ega 9:ne irsesma& smIna pase Aave 2e.– ma0vIŠ smIna, fzIla, Aaje r6vano p/og/am n9I ra~yo ne? lavo tmaru& ilS4. hu& bhenne

mXIne AavI. tem8e k¬u& ke shelI babto tu&, form, 0vl b0a& -ega& 9:ne Aaà vgRne smjavjo Ane te A&genI su&dr rmto, mo6eLs t9a ca4\sR hu& jate btavI=.

b0a& -ega&Š he&! _aUimitma& rmto! bhen jate btav=e! de talI, de talI. •AekbIjane talI Aape 2e.–

formŠ ma0vI, Aap8e ilS4 l: l:Ae Ane Aap8e smjavvanI babto vhe&cI l:Ae. •same9I gi8tna bhen Aavta& de ay 2e. ha9ma& sa0no 2e.–

k&dpRŠ calo, calo, Aap8e vgRma& besI j:Ae. bhen rmk6a& l:ne AaVya& lage 2e. •b0a& vgRma& besI jay 2e. vgRma& b0a& W_aa& 9: nmSte kre 2e. vgRma& =a&it. b0a& baXkone jovanu& kUtuhl 2e. sa9e Aan&d p8 2e.–

i=ixkaŠ irsesma& naSto kyoR b0a&Ae? baXkoŠ ha@, bhen. i=ixkaŠ to calo, Aap8e 9o6I vato krI=u&. _aUimitma& bhu 6r lage 2e tmne? b0a& sa9eŠ ha, bhen. ko: boleŠ 9o6I, 9o6I. na, bhen. 0vlŠ bhen, Amne rmk6a& btavone. pelu& =rbtnI S4ô jevu& =u& 2e? i=ixkaŠ ha _aa:, Ae b0&u btavva to lavI 2u&. Aa sa0no jo:ne tmaro _aUimit ivqeno 6r

nIkXI j=e Ane b0u& smja: j=e. wQmaŠ bhen, b0u jLdI jLdI btavone AmarI 0Irj n9I rhetI. i=ixkaŠ to juAo, be4a Aa =rbtnI S4ô v6e bnavelu& mo6el sUcve 2e ke Aek ib&duma&9I

As&~y reàAo psar 9ay. ko: be reàAo AekbIjane 2e de to te Aek j ib&duma&

273

2ede. {a8 reàAo AekbIjane Aek ib&duma& p8 2ede Ane v0arema& v0are {a8 ib&duma& p8 2ede. •i=ixka, baXkone btavIne p2I ha9ma& jova ma4e p8 Aape 2e–

0vlŠ bhen, hu& Aavu& 3er bnavI=. wQmaŠ hu& p8. i=ixkaŠ bnavjo, be4a, p8 tena μara Aa re aAo AekbIjane ke4la ibdu&ma& 2ede 2e te Alg

Alg rIte ckasI lejo. formŠ bhen, Aa to bhu srs 2e. trt smja: gyu&. vXI bnavvanu& bhu shelu& 2e. fzIlaŠ bhen, hve àlI jga ma4e go`vu& nih& p6e. de Ine j srs smja: gyu&. ma0vIŠ bhen, Aa tarnu& sa0n smtl smjavva ma4e 2e ne? i=ixkaŠ ha be4a, cal Aa mo6el pr9I smtl ivqenI vat kr. formŠ bhen, hu& smjavu&, juAo. k&dpRŠ na bhen, mne smjava do. Ae mne fav=e. •sa0n btavIne– juAo, Aa smtl

spa4I 2e. spa4 =Bd ‘fle4 hovu&’ Aeno ~yal Aapee 2e. joke AavI spa4I Ae j smtl n9I.•vCce9I ma0vI bole 2e.–

ma0vIŠ ha, Ae smtl n9I p8 smtlno nano A9va myaRidt _aag 2e. k&dpRŠ ha, myaRidt _aag 2e Ae4le ke dIval, 2t, pa5ypuStkna& pana& vgere vStuAonI

spa4IAo 2e. Aa mo6el pr9I smtlno ~yal Aave 2e. i=ixkaŠ srs, kem tme to _aUimit A0rI 2e tevu& kheta hta ne? Aa b0u& to tmarI jate

Aav6va ma&6\yu&. wQmaŠ bhen, Aava sa0no hoy to to smj p6e j ne? i=ixkaŠ smIna, fzIla, mrIym, pOrvI kem brabrne? smj p6I? smInaŠ ha bhen, Ub srs rIte p8 i{ako8nI Aek£pta iv=e p8 Aava sa0no j

btavone. i=ixkaŠ ha, Ae hu& jate btavu&, juAo. Aa AlgAlg r&gna, AlgAlg mapna i{ako8o

2e. tena pr U8a t9a bajuAona map l ela 2e te pr9I {a8 bajuAonI Ae4le ke ‘bababa’ s&gtta, be bajuAo Ane Aek Ù8anI Ae4le ke ‘baÙba’ s&gtta, be Ù8a Ane Aek bajunI Ae4le ke ‘ÙÙba’ s&gtta be Ù8anI vCcenI bajunI Ae4le ke ‘ Uba U’ s&gtta Ane 2eLle, ka4ko8 i{ako8ma&& ka4Ù8o, k8R Ane Aek baju Ae4le ke ‘kakba’ s&gtta smja: jay.

wQmaŠ rmt kevI rIte rmay?

274

i=ixkaŠ goXakarma& baXkoAe besvanu&. Aa i{ako8ono 7glo krvano. Aek£p i{ako8onI jo6 bnavI te k: s&gtta mujb Aek£p 2e te khevanu&. saca jvabna × gu8. jena gu8 v0are te @te.

0vlŠ bhen, Amare rmvu& 2e. i=ixkaŠ hm8a& nih& phela& tme =IÌ gya 2o te 4oipkna me& je sa0no bnaVya 2e te btavu&

Ane smjavu&. phela& tmaro _aUimit iv=eno 6r ka7u& p2I rma6u&, kem brabrne? smInaŠ bhen, hve Aevu& lage 2e ke _aUimit Aav6=e. p8 tme jldI Aa b0a& sa0no btavo. ma0vIŠ bhen, Aa i{ako8nI Aek£ptanI rmt hu& pU5a& pr bnavI lavI= Ane Ame vgRma&

punravtRn ma4e rmI=u&. i=ixkaŠ srs be4a, coKks bnavje. hve jUAo, Aa bIja 9o6a& sa0no bnaVya& 2e te p8

btavI dw&. te9I tmaro _aUimitno r¬os¬o 6r p8 nIkXI jay. wQmaŠ ha bhen, btavI do. Aa rmk6a&vaXI _aUimit Amne bhu gmI. formŠ bhen, phela& i{ako8vaXu& pelu& sa0n btavo. i=ixkaŠ ha be4a, juAo, Aap8e sO ja8IAe 2IAe ke i{ako8na {a8ey U8aAono srvaXo

180 9ay. Ae hu& Aa sa0n9I btavu& 2u&. 0vlŠ bhen, ko8mapk9I i{ako8na b0a U8a mapIAe Ae4le srvaXo 180 9ay 2e. i=ixkaŠ sacI vat 2e be4a, Ae ko8mapkna j me& Aa {a8 _aag kyaR 2e. •{a8 4uk6a btave

2e.– lal, lIlo Ane _aUro. Aa {a8e 4uk6ane i{ako8na {a8 Ù8a pr mUkI btavu&, to te i{ako8na {a8 U8a 2e, brabr? •mUkI btave 2e.–

smInaŠ bhen, brabr go5va: gya. i=ixkaŠ h&, go5va: gya ne? hve Ae {a8 4uk6ane sa9e go5vIAe to Aap8u& ko8mapk bnI

jay 2ene? •ko8mapk bnavI btave 2e.– Ane ko8mapk pr ke4la A&= 2e? b0a sa9e mXIne, juAo, ÓÚÒ 9ay 2e.

ma0vIŠ ha _aa:. bhu srs bhen, hve Aa i{ako8nI bajuAo btavtI dorIAone shej shej `se6IAe to Alg Alg mapna Ù8a bne Ane Ae drek v`te Ù8aAono srvaXo ÓÚÒ 9ay 2e. •krI btave 2e.–

k&dpRŠ bhen, Aavu& b0u jo:ne Amne rmvanu& mn 9: jay 2e. •shej laD9I– rma6one, bhen.

i=ixkaŠ tmne baXkone rmk6a& rmvanu& mn 9ay Ae hu& smju& 2u&. te9I to Aa rmk6a& bnaVya& 2e. p8 Aaje Aa b0a& sa0no btavI dw&. te9I tmne p8 teva sa0no bnavvanu& mn 9ay, brabrne?

0vlŠ ha, ha bhen, b0a& j btavI do. p2I Aaù& A5vai6yu& rmI=u&. •tofan krto hoy tem bole 2e.–

i=ixkaŠ =u&? =u&? Aaù& A5vai6yu& rmI=u&? p2I _a8=e ko8?

275

forsŠ p8 bhen, Aa p8 _a8vanu& j 2ene. Amne Aa u& A5vai6yu& to nhI&& p8 A5vai6yama& be tas to rma6jo j.

i=ixkaŠ saru& saru& _aa:, calo, Aap8e AagX j:Ae. juAo, Aa sma&tr reàAonI 2eidkanI vat 2e. juAo, be re aAone Aa {aI@ re a be ib&duma& 2ede 2e. Ae4le Ae re ane =u& khevay?

baXkoŠ 2eidka. i=ixkaŠ srs, to Ae 2eidka v6e be reàAo pr je Aa5 Ù8a bne 2e tena p/kar Ane map

smjavva Aa be sa0no 2e. juAo, AhI& 2eidka l&b 2e. te9I b0a U8a srà 90-90 na 9ay, brabr? Ane Aa {aa&sI 2eidka9I bnta kya Kya Ù8aAo srà bne 2e te srà r&g9I btaVya 2e.

formŠ smj p6I g:, bhen. Aa to AmarI _aUimit bo6R prne bdle rmk6ama& AavI g:. 0vlŠ bhen, hve Aa 2eLlu& Aek j r¬u&, tema& =u& 2e? i=ixkaŠ tema& p8 Aa j vat 2e. Aa yuGmko8, Anuko8, pUrkko8, Ai_ako8, A&tŠko8

vgerenI jo6ne smjavvanu& sa0n 2e. Aa r&g kyoR 2e te Ù8ane Anu£p je Anuko8 h=e Tya& pIn mUkva9I t9a Aa Anuko8 l~yu& 2e Tya& p8 pIn ra`va9I la:4 9=e.

wQmaŠ la:4 9:, bhen. 0vlŠ •vCce9I A4kavIne–Kya& la:4 9:, mgjma&? wQmaŠ jane hve, bhu Da¬o. juAone bhen. p8 bhen, hu& yuGmko8 btavu&u&? i=ixkaŠ •shej W&ca Avaje– 0vl, tofan nih&. Aa vgR &D 2e. 0vlŠ maf krjo, bhen, hve nih& kru&. smInaŠ wQma, mne krva de hu& yuGmko8 btavu&. mne Ae Aav6e 2e. •yuGmko8 pase la:4 krI

btave 2e.– i=ixkaŠ srs, b0a j p/karna Ù8ama& smj p6I? ma0vIŠ bhen, hu& Aekvar b0a j Ù8a AagX la:4 krI btavu&. •te sa0n ha9ma& le 2e

Ane b0a U8a brabr d=aRvIne la:4 krI btave 2e.– 0vlŠ bhen, la:4 krva tme =u& kyuR&? Aa to jadu 9ay 2e. i=ixkaŠ jadu n9I. saca jvab pasena vIjag/ joDe srkI4 jo6I 2e. Aa sa0nnI pa2XnI

bajuAe juAo. •b0a& sa0nnI pa2lI baju jUAe 2e.– smInaŠ Amne Aava& sa0no btavI _aUimit =I`vvama& Aave to smj p6I j jay Ane

_a8vanI mja p8 Aave. bhen, U8aAona p/karna& p8 Aava& sa0no j btavjo. i=ixkaŠ me& tmne Aa:i6ya AaPyo. hve tmare jate pU5a& pr r&gIn kagXnI mdd9I sa0no

bnavvana. k&dpRŠ •i{ako8nu& sa0n btavIne– bhen, Aama& bihQko8 btavone. Ae to rhI gyu&. i=ixkaŠ ha, ha, lav juAo. Aa Aek Ù8a pase bakIna be Ù8aAo mUkva9I teno bihQko8

bne 2e. te pr9I bihQko8nI Vya~ya saibt 9ay 2e. Ane juAo, Aa be

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A&tŠs&mu ko8ono srvaXo bihQko8 je4lo 2e te p8 saibt 9ay 2e. •baXko jate bIja bihQko8nI tpas kre 2e.–

ma0vIŠ bhen, bhu mja p6I, gMyu&. Ùb gMyu&. smInaŠ bhen, tme to maro _aUimitno 6r j ka7I na~yo. hve Aa sa0no μara rmIne Ame

punravtRn krI=u&. i=ixkaŠ tmne gMyu& Ae4le marI mhent sfX 9: g:. tme p8 Aava& sa0no bnavjo. j£r

p6e marI mdd lejo. baXkoŠ 9e&kyu bhen, Ùb Ùb Aa_aar.

•p6do p6e 2e.–

277

piri=Q4Ý•4– ca4Rs

iàko8na p/karo ca4R n&. 1 (1) smiμ_auj iàko8 (Isosceles triangle) ‰ je iàko8nI be bajuAo Aek£p hoy tene smiμ_auj iàko8 khevay. (2) sm_auj iàko8 (Equilateral triangle) ‰ je iàko8nI à8ey bajuAo Aek£p hoy tene sm_auj iàko8 khevay. (3) ivqm_auj iàko8 (Scalene triangle) ‰ je iàko8na à8e bajuAo Aek£p n hoy, tene ivqm_auj iàko8 khevay. (4) smko8 iàko8 (Equiangular triangle) ‰ je iàko8na à8e U8a Aek£p hoy, tene smko8 iàko8 khevay. (5) l3uko8 iàko8 (Acute angled triangle) ‰ je iàko8na à8e U8a l3uko8 hoy, tene l3uko8 iàko8 khevay. (6) ka4ko8 iàko8 (Right angled triangle) ‰ je iàko8ma& Aek ka4 U8o hoy, tene ka4ko8 iàko8 khevay.tenI samenI baju k8R khevay. (7) guruko8 iàko8 (Obtuse angled triangle) ‰ je iàko8no Aek U8o guruko8 hoy, tene guruko8 iàko8 khevay.

iàko8onI Aek£ptanI =rto ca4R n&. 2 (1) ba Uba (SAS) =rt ‰ jo be iàko8o •A9va iàko8 Ane te j iàko8–na& i=roib&duAo vCcenI ko: AekÝAek s&gtta AevI hoy ke je9I Aek

iàko8nI be bajuAo t9a temno A&tgtR Ù8o Anuk/me bIja iàko8nI Anu£p bajuAo t9a temna A&tgRt Ù8ane Aek£p hoy, to te s&gtta Aek£pta 2e Ane be iàko8o Aek£p 2e.

(2) ÙbaÙ (ASA) =rt ‰ be iàko8o •A9va iàko8 Ane te j iàko8–na i=raib&duAo vCcenI ko: s&gtta ma4e jo Aek iàko8na be Ù8a Ane A&tgRt baju Anuk/me bIja iàko8na& Anu£p A&go sa9e Aek£p hoy, to te s&gtta Aek£pta 2e.

(3) ÙÙba (AAS) =rt ‰ Aek iàko8na be U8a Ane Aek baju bIja iàko8na& Anu£p A&go sa9e Aek£p ho, to Aapela iàko8o Aek£p 2e. (4) bababa (SSS) =rt ‰ jo iàko8na& i=roib&duAo vCcenI Aek s&gtta AevI mXe ke je9I Aek iàko8nI à8 bajuuAo Anuk/me bIja iàko8nI

Anu£p à8 bajuAo sa9e Aek£p hoy, to te s&gtta Aek£pta 9ay. (5) kakba (RHS) =rt ‰ be ka4ko8 iàko8o vCcenI ko: s&gtta ma4e Aek iàko8no k8R Ane Aek baju Anuk/me bIja iàko8na k8R Ane

Anu£p baju sa9e Aek£p hoy, to te iàko8o vCcenI s&gtta Aek£pta 9ay Ane b e iàko8o Aek£p 9ay.

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iàko8onI bajuAo Ane U8ana& map iv=e AsmtaAo ca4R n&. 3 (1) jo iàko8nI be bajuAona& map Asman hoy, to mo4a mapvaXI bajunI samena U8anu& map nana mapvaXI bajunI samena U8ana map krta&

mo4u& hoy 2e. (2) jo iàko8ma& be Ù8aAona& map Asman hoy, to mo4a mapvaXa Ù8anI samenI bajunu& map, nana mapvaXa U8anI samenI bajuna map

krta& mo4u& hoy 2e. (3) iàko8nI bajuAona& mapno srvaXo ‰ iàko8ma& ko: p8 be bajuAona& mapno srvaXo àI@ bajuna& map krta& mo4o hoy 2e. (4) iàko8nI bajuAona mapno tfavt ‰ iàko8nI p/Tyek bajunI l&ba:nu& map bakInI bajuAonI l&ba:na& mapna 0ntfavt9I Ai0k hoy 2e.

ib&du9I re anu& l&bA&tr ca4R n&. 4

(1) ib&du9I reànu& l&bA&tr ‰ jo ⎯⎯→←AB na bharna ib&du Pma&9I PM l&b l&b dorIAe (MЄ ⎯⎯→←AB ) to PMne Pnu& ⎯⎯→←AB 9I l&bA&tr (Perpendicular distance) khe 2e. Mne Pma&9I ⎯⎯→←AB prno l&bpad (Foot of perpendicular) khe 2e. ini¾t smtlma& reànI bharna ib&duma&9I re a pr AnNy l&b reà`&6 mXe 2e.

(2) l&breàAo ‰ jo be reàAo prSpr 2edtI hoy Ane temna 2edib&du AagX bnta car Ù8a pEkI Aek Ù8o •Ane Aa9I drek Ù8o– ka4Ù8o hoy, to temne prSpr l&breàAo khe 2e.

(3) re a &6no l&biμ_aajk (Perpendicular bisector) ‰ Aapela reà`&6na smtlma& AavelI, reà &6na m)yib&duma&9I psar 9tI Ane re a &6ne l&b hoy tevI re ane re a &6no l&biμ_aajk khe 2e.

(4) smtlma& Aapela& be ini¾t ib&duAo9I sman A&tre Aavela& ib&duAono g8 te ib&duAone jo6ta re a &6no l&biμ_aajk 2e.

(5) prSpr 2edtI re aAo9I sman l&bA&tre Aavela& ib&duAono g8 te 2edib&du AagX bnta U8aAona iμ_aajko 2e.

279

smtlma& sma&tr re aAo ca4R n&. 5 (1) sma&tr (Parallel) reàAo ‰ Aek j smtlma& AavelI i_aNn reàAo prSpr 2edtI n hoy, to te reàAo sma&tr reàAo khevay. (2) sma&trnI pUvR0ar8a ‰ AapelI re ana bharna ib&duma&9I psar 9tI Ane te re ane sma&tr hoy tevI v0uma& v0u Aek reà mXe. (3) 2eidka9I bnta Ù8aAo ‰ smtlIy reàAo l Ane mnI 2eidka t9I bnta Ù8aAo (4) Anuko8 (Corresponding angles)nI car jo6 ‰ (i) ∠XPB Ane ∠PQD, (ii) ∠XPA Ane ∠PQC (iii) ∠BPQ Ane ∠DQY, (iv) ∠APQ Ane ∠CQY (5) yuGmko8 (Alternate angles)nI be jo6 ‰ (i) ∠APQ Ane ∠PQD (ii) ∠BPQ Ane ∠PQC (6) 2eidkanI Aek j trfna A&tŠko8 (Interior angles on same side of transversal)nI be jo6 ‰

(i) ∠APQ Ane ∠PQC (ii) ∠BPQ Ane ∠PQD

2eidka9I bnta Ù8aAona gu80moR ca4R n&. 6 (1) jo be reàAo l Ane m sma&tr hoy Ane tene Aek 2eidka hoy to te9I bnta (1) Anuko8 Aek£p hoy (2) yuGmko8 Aek£p hoy (3)

2eidkanI Aek trfna A&tŠko8 pUrk hoy. (2) be sma&tr re aAonI 2eidka9I bnta Anuko8nI p/Tyek jo6na U8a Aek£p hoy 2e. (3) be reàAonI 2eidka9I bnta Anuko8nI jo6na U8aAo Aek£p hoy, to te re aAo sma&tr hoy 2e. (4) be sma&tr re aAonI 2eidka9I bnta yuGmko8nI p/Tyek jo6na U8a Aek£p hoy 2e. (5) be re aAonI 2eidka9I bnta yuGmko8nI jo6na U8a Aek£p hoy, to te re aAo sma&tr hoy 2e. (6) be sma&tr re aAonI 2eidka9I bnta 2eidkanI Aek trfna A&tŠko8o pUrk hoy 2e. (7) be reàAonI 2eidka9I bnta 2eidkanI Aek trfna A&tŠko8o pUrk hoy, to te re aAo sma&tr hoy. (8) AapelI reàne sma&tr hoy tevI reàAo prSpr sma&tr hoy 2e.

x A P B l C Q D m t Y

280

iàko8 ca4R n&. 7 (1) iàko8 ‰ à8 Asmre ib&duAo μara ini¾t 9ta re a &6o (Line segments)na yogg8ne iàko8 khevay. A, B, C à8 Asmre ib&duAo hoy, to AB , BC Ane CAna yogg8ne iàko8 ABC khevay. s&ketma& ΔABC Aem lày. (2) A&tgRt baju (Included side) ‰ iàko8na Aapela be U8anI A&tgRt baju Ae4le te iàko8na àIja U8anI samenI baju. da.t., ΔABCma& ∠A Ane ∠BnI A&tgRt baju Ae4le ∠CnI samenI baju AB 2e. (3) iàko8no A&drno _aag (Interior of triangle) ‰ iàko8na à8e U8ana A&drna _aagno 2edg8 Aapela iàko8no A&drno _aag khevay

2e. (4) iàko8no bharno _aag (Exterior of triangle) ‰ iàko8na smtlna je ib&duAo iàko8 pr n9I Ane iàko8na A&drna _aagma& p8 n9I

teva& tmam ib&duAo9I bnta g8ne iàko8no bharno _aag khe 2e. (5) iàko8 je smtlma& 2e tenu& prSpr à8 Alg g8oma& iv_aajn 9ay 2e ‰ (1) iàko8, (2) iàko8no A&drno _aag Ane (3) iàko8no

bharno _aag

iàko8o bihQko8 Ane A&tŠs&mu ko8 ca4R n&. 8 (1) iàko8no bihQko8 (Exterior angle of triangle) ‰ iàko8na ko: U8a sa9e rEi`k jo6 bnavta U8ane te iàko8no bihQko8 khe 2e. drek iàko8ne drek i=roib&duAe be Aem kul 2 bihQko8 hoy 2e. (2) iàko8na bihQko8no A&tŠs&mu ko8 (Interior opposite angle) ‰ iàko8no bihQko8 iàko8na je U8a sa9e rEi`k jo6 bnave, te

U8a isvayno iàko8no drek U8o Aapela bihQko8no A&tŠs&mu ko8 khevay. iàko8na drek bihQko8ne be A&tŠs&mu`ko8 hoy 2e. Δ ABC ma& B-C-D 2e. ∠ACB Ane ∠ACD rEi`k jo6na U8a 2e.

∴ ∠ACB bihQko8 2e t9a ∠A Ane ∠B tena A&tŠs&mu ko8 2e. (3) iàko8na ko: p8 bihQko8nu& map tena A&tŠs&mu ko8na map krta& v0are hoy 2e. (4) iàko8na à8e U8aAona mapno srvaXo 180 9ay 2e. (5) jo iàko8no ko: Aek Ù8o ka4Ù8o hoy, to ANy bë Ù8a l3uko8 hoy.

A B C D

svRp/aPta&k sar8IAo Ý 5 (grand charts)

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Ajmay= •120–

suivkist ivStar •1–, iny&i{at jU9 •1–

101 1 1 kNya 12 9 10 9 8 4 gerhajr 10 11 40 64 102 1 1 kNya 12 10 8 8 7 6 10 19 15 66 76 103 1 1 kNya 16 9 10 14 15 gerhajr gerhajr 18 13 70 72 104 1 1 kNya 17 15 14 14 gerhajr 12 12 13 10 35 43 105 1 1 kNya 16 9 15 17 18 18 18 17 17 80 82 106 1 1 kNya 12 10 10 5 17 17 16 20 21 42 46 107 1 1 kNya 15 18 20 21 22 21 19 33 30 99 102 108 1 1 kNya 16 17 18 19 19 gerhajr 15 25 22 60 59 109 1 1 kNya 15 14 13 13 11 10 20 21 20 72 79 110 1 1 kNya 11 15 14 13 20 18 15 18 13 68 71 111 1 1 kNya 13 12 11 10 10 13 15 14 11 32 47 112 1 1 kNya 16 9 11 11 14 15 21 11 9 51 58 113 1 1 kNya 22 23 20 21 21 22 25 40 38 102 109 114 1 1 kNya 14 0 2 1 gerhajr gerhajr 7 2 0 20 25

290


Aekmkso4IAo

k/m

jU9

ivSt

ar il&g

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kso4I •25– 01

•25– 02

•25– 03

•25– 04

•25– 05

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•120–

rss&=oi0nI wär

Ajmay= •120–

115 1 1 kNya 20 21 22 22 21 23 24 39 35 98 102 116 1 1 kNya 18 17 17 16 11 12 10 16 18 32 62 117 1 1 kNya 11 10 10 18 12 gerhajr 10 15 10 44 46 118 1 1 kumar 20 12 11 14 13 20 22 35 32 96 100 119 1 1 kumar 19 11 10 10 13 11 10 15 15 40 44 120 1 1 kumar 14 0 3 gerhajr gerhajr 2 gerhajr 5 2 25 30 121 1 1 kumar 14 10 12 11 11 10 9 22 20 62 67 122 1 1 kumar 13 12 gerhajr gerhajr gerhajr gerhajr 3 4 1 40 44 123 1 1 kumar 8 7 7 gerhajr 4 15 gerhajr 13 10 57 59 124 1 1 kumar 9 9 8 11 11 10 20 17 15 46 53 125 1 1 kumar 10 11 11 10 10 9 12 15 11 37 51 126 1 1 kumar 4 3 0 gerhajr gerhajr 2 4 5 0 22 36 127 1 1 kumar 11 0 gerhajr 3 2 gerhajr gerhajr 2 2 10 24 128 1 1 kumar 11 12 14 12 13 16 11 20 22 51 49 129 1 1 kumar 19 18 13 15 15 16 14 15 14 35 33

291


Aekmkso4IAo

k/m

jU9

ivSt

ar il&g

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kso4I •25– 01

•25– 02

•25– 03

•25– 04

•25– 05

•25– 06

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•120–

rss&=oi0nI wär

Ajmay= •120–

130 1 1 kumar 17 15 gerhajr gerhajr 10 20 22 22 21 70 75 131 1 1 kumar 12 10 9 8 7 12 10 19 10 66 72 132 1 1 kumar 13 9 8 gerhajr 10 9 15 21 20 71 79 133 1 1 kumar 12 13 12 10 gerhajr 8 10 20 20 61 64 134 1 1 kumar 14 15 14 10 9 8 14 32 31 72 102 135 1 1 kumar 21 22 19 18 19 20 gerhajr 37 40 88 94 136 1 1 kumar 13 13 12 10 11 9 17 24 22 77 81 137 1 1 kumar 14 10 5 4 10 11 12 9 3 40 45 138 1 1 kumar 10 39 9 11 13 15 11 15 10 49 54 139 1 1 kumar 22 20 19 21 21 24 23 35 32 102 111 140 1 1 kumar 15 16 16 17 11 10 21 24 26 63 64 141 1 1 kumar 23 24 23 20 19 22 23 42 44 103 117 142 1 1 kumar 23 20 21 20 22 24 23 44 40 107 112 143 1 1 kumar 20 19 18 18 17 gerhajr 21 32 30 94 96 144 1 1 kumar 16 15 14 14 20 21 10 25 20 78 82

292


Aekmkso4IAo

k/m

jU9

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kso4I •25– 01

•25– 02

•25– 03

•25– 04

•25– 05

•25– 06

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•120–

rss&=oi0nI wär

Ajmay= •120–

145 1 1 kumar 17 10 9 12 14 15 12 26 26 78 88 146 1 1 kumar 21 20 17 19 20 18 18 35 31 96 96

suivkist ivStar •2–, p/yogjU9 •2– 147 2 1 kNya 15 16 12 18 15 20 24 20 32 70 82 148 2 1 kNya 10 4 10 12 20 12 20 20 24 64 66 149 2 1 kNya 0 2 6 4 gerhajr 8 5 13 10 50 55 150 2 1 kNya 12 14 16 17 15 20 24 36 40 90 102 151 2 1 kNya 22 gerhajr 17 20 20 22 25 48 44 96 103 152 2 1 kNya 22 10 23 17 18 20 24 47 45 90 112 153 2 1 kNya 20 18 21 16 15 21 22 40 42 88 101 154 2 1 kNya 25 25 24 24 25 23 25 50 50 110 118 155 2 1 kNya 10 10 12 12 14 20 22 32 30 70 74 156 2 1 kNya 22 20 15 22 23 21 24 48 50 87 98 157 2 1 kNya 14 12 10 13 13 20 21 34 36 66 72 158 2 1 kNya 11 13 14 12 9 11 13 30 32 54 54

293


Aekmkso4IAo

k/m

jU9

ivSt

ar il&g

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kso4I •25– 01

•25– 02

•25– 03

•25– 04

•25– 05

•25– 06

•25–




•120–

rss&=oi0nI wär

Ajmay= •120–

159 2 1 kNya 21 20 22 20 22 24 24 44 40 102 108 160 2 1 kumar 10 18 17 21 16 21 22 40 40 97 99 161 2 1 kumar 15 14 16 15 17 14 20 23 20 32 84 162 2 1 kumar 18 20 11 10 12 17 15 34 36 85 90 163 2 1 kumar 24 25 22 24 25 20 25 50 50 102 118 164 2 1 kumar 13 20 20 21 24 17 16 34 32 47 64 165 2 1 kumar 20 21 22 15 17 16 22 44 45 99 96 166 2 1 kumar 10 10 15 14 12 17 20 28 20 64 72 167 2 1 kumar 21 22 24 20 20 19 22 50 49 20 24 168 2 1 kumar 0 0 2 1 6 5 7 10 8 55 64 169 2 1 kumar 14 17 18 15 20 22 24 30 31 57 59 170 2 1 kumar 14 15 16 16 17 20 17 32 32 72 71 171 2 1 kumar 9 8 7 2 4 10 0 33 30 70 68 172 2 1 kumar 10 9 8 12 4 9 21 30 35 62 81 173 2 1 kumar 20 21 12 14 18 21 22 50 47 112 119

294


Aekmkso4IAo

k/m

jU9

ivSt

ar il&g

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kso4I •25– 01

•25– 02

•25– 03

•25– 04

•25– 05

•25– 06

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•120–

rss&=oi0nI wär

Ajmay= •120–

174 2 1 kumar 10 10 15 17 18 16 20 29 30 47 54 175 2 1 kumar 20 22 20 20 21 19 19 40 44 87 92 176 2 1 kumar 0 0 4 6 5 3 9 10 14 22 24 177 2 1 kumar 24 25 22 22 23 24 25 47 45 27 72 178 2 1 kumar 21 20 10 15 17 18 22 43 42 25 55 179 2 1 kumar 18 14 13 17 18 19 22 39 40 91 92 180 2 1 kumar 21 24 19 17 20 22 23 46 50 113 115 181 2 1 kumar 20 25 14 13 20 23 25 48 50 92 96 182 2 1 kumar 13 12 12 11 20 21 22 34 30 30 35 183 2 1 kumar 12 10 10 21 20 17 18 32 35 41 51 184 2 1 kumar 17 12 14 13 14 15 20 41 44 94 92 185 2 1 kumar 14 10 19 15 16 18 21 35 30 40 64 186 2 1 kumar 10 12 13 12 14 15 19 39 44 30 70 187 2 1 kumar 21 20 22 22 23 24 21 45 48 80 102 188 2 1 kumar 10 19 21 24 25 20 23 46 50 82 114

295


Aekmkso4IAo

k/m

jU9

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ar il&g

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kso4I •25– 01

•25– 02

•25– 03

•25– 04

•25– 05

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•120–

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Ajmay= •120–

189 2 1 kumar 20 20 19 21 21 22 24 40 42 76 95 190 2 1 kumar 9 3 2 11 13 110 11 20 15 10 40

296


s&kilt kso4I maihtI0ar8kso4I

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ALpivkist ivStar •2–, iny&i{at jU9 •1– 001 1 2 kumar 20 10 0 10 0 15 5 0 10 0 002 1 2 kumar 15 8 0 6 1 12 6 0 6 0 003 1 2 kumar 16 9 0 6 1 17 10 0 6 1 004 1 2 kumar 4 4 0 0 0 3 3 0 0 0 005 1 2 kumar 27 14 2 9 2 25 14 2 7 2 006 1 2 kumar 12 8 0 4 0 15 8 3 4 0 007 1 2 kumar 2 2 0 0 0 0 0 0 0 0 008 1 2 kumar 0 0 0 0 0 0 0 0 0 0 009 1 2 kumar 22 9 3 8 2 25 9 3 11 2 010 1 2 kumar 2 2 0 0 0 2 2 0 0 0 011 1 2 kumar 26 10 0 10 6 28 10 0 12 6 012 1 2 kumar 32 14 4 10 4 30 14 2 10 4 013 1 2 kumar 17 9 4 4 0 20 10 5 5 0 014 1 2 kumar 30 11 6 9 4 31 12 6 9 4 015 1 2 kumar 12 6 0 6 0 15 9 0 6 0

297



k/m

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kul •5

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016 1 2 kumar 19 8 1 5 5 15 4 1 5 5 017 1 2 kumar 15 7 4 4 0 14 6 4 4 0 018 1 2 kumar 0 0 0 0 0 0 0 0 0 0 019 1 2 kumar 21 7 2 8 4 25 11 2 8 4 020 1 2 kumar 5 5 0 0 0 2 2 0 0 0 021 1 2 kumar 18 8 3 5 2 15 8 0 5 2 022 1 2 kumar 32 13 5 10 4 30 11 5 10 4 023 1 2 kumar 8 8 0 0 0 10 8 0 2 0 024 1 2 kumar 11 8 0 3 0 10 7 0 3 0 025 1 2 kumar 25 10 4 8 3 20 9 8 3 0 026 1 2 kumar 10 8 0 2 0 8 8 0 0 0 027 1 2 kumar 26 7 5 10 4 24 5 5 10 4 028 1 2 kumar 22 10 0 8 4 22 10 0 8 4 029 1 2 kumar 4 0 0 4 0 2 2 0 0 0 030 1 2 kumar 11 7 0 4 0 10 6 0 4 0 031 1 2 kumar 24 8 4 4 8 20 8 0 4 8 032 1 2 kumar 17 9 2 6 0 15 9 0 6 0

298



k/m

jU9

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kul •5

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299



k/m

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kul •5

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050 1 2 kumar 18 8 0 5 5 15 5 0 5 5 ALpivkist ivStar •2–, p/yogjU9 •2–

051 2 2 kNya 12 8 0 4 0 10 10 0 0 0 052 2 2 kNya 23 7 4 6 6 20 7 6 4 3 053 2 2 kNya 26 8 6 6 6 30 8 8 8 6 054 2 2 kNya 43 7 12 12 12 45 9 12 12 12 055 2 2 kNya 31 6 10 10 5 35 5 10 10 10 056 2 2 kNya 7 7 0 0 0 5 0 5 0 0 057 2 2 kNya 14 7 4 3 0 10 0 8 2 0 058 2 2 kNya 23 2 8 5 8 25 0 10 10 5 059 2 2 kNya 21 4 6 6 5 24 0 8 8 8 060 2 2 kNya 3 3 0 0 0 0 0 0 0 0 061 2 2 kNya 25 0 10 10 5 30 5 12 8 5 062 2 2 kNya 15 6 6 0 3 14 0 10 4 0 063 2 2 kNya 9 1 6 2 0 6 0 6 0 0 064 2 2 kNya 9 2 5 2 0 7 0 6 1 0 065 2 2 kNya 42 6 12 12 12 48 12 12 12 12

300



k/m

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kul •5

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maih

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smj

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066 2 2 kNya 30 3 12 12 3 32 2 8 12 10 067 2 2 kumar 23 8 10 0 5 25 5 10 5 5 068 2 2 kumar 16 4 8 0 4 10 0 5 5 0 069 2 2 kumar 13 4 4 1 4 15 0 5 4 6 070 2 2 kumar 9 3 3 1 2 8 1 4 3 0 071 2 2 kumar 14 3 8 3 0 15 0 5 6 4 072 2 2 kumar 11 2 6 3 0 10 0 5 0 5 073 2 2 kumar 24 6 6 8 4 22 0 8 10 4 074 2 2 kumar 10 2 8 0 0 11 0 5 5 1 075 2 2 kumar 28 6 12 5 5 30 2 10 9 9 076 2 2 kumar 13 3 7 3 0 10 0 5 4 1 077 2 2 kumar 11 4 4 0 3 10 0 5 4 1 078 2 2 kumar 47 11 12 12 12 50 14 12 12 12 079 2 2 kumar 46 10 12 12 12 40 4 12 12 12 080 2 2 kumar 28 4 12 6 6 22 2 5 10 5 081 2 2 kumar 30 5 12 8 5 25 2 10 8 5 082 2 2 kumar 22 4 10 4 4 20 0 10 5 5

301



k/m

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kul •5

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083 2 2 kumar 13 5 8 0 0 gerhajr gerhajr gerhajr gerhajr gerhajr 084 2 2 kumar 14 6 8 0 0 10 0 5 5 0 085 2 2 kumar 26 5 12 5 4 25 10 5 5 5 086 2 2 kumar 33 5 12 12 4 40 6 12 10 12 087 2 2 kumar 10 2 8 0 0 12 0 6 6 0 088 2 2 kumar 44 8 12 12 12 46 10 12 12 12 089 2 2 kumar 49 13 12 12 12 50 14 12 12 12 090 2 2 kumar 43 7 12 12 12 47 11 12 12 12 091 2 2 kumar 26 0 10 8 8 28 4 12 10 2 092 2 2 kumar 24 8 8 6 2 20 0 10 4 6 093 2 2 kumar 38 2 12 12 12 30 0 10 10 10 094 2 2 kumar 17 3 8 3 3 20 0 8 12 0 095 2 2 kumar 18 4 8 3 3 gerhajr gerhajr gerhajr gerhajr gerhajr 096 2 2 kumar 37 1 12 12 12 40 4 12 12 12 097 2 2 kumar 50 14 12 12 12 49 13 12 12 12 098 2 2 kumar 41 5 12 12 12 38 4 12 10 12 099 2 2 kumar 50 14 12 12 12 50 14 12 12 12

302



k/m

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kul •5

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100 2 2 kumar 25 5 8 7 5 20 0 10 5 5 suivkist ivStar •1–, iny&i{at jU9 •1–

101 1 1 kNya 10 5 0 5 0 11 2 9 0 0 102 1 1 kNya 19 9 0 5 5 15 0 10 2 3 103 1 1 kNya 18 8 0 5 5 13 0 10 3 0 104 1 1 kNya 13 8 0 5 0 10 0 10 0 0 105 1 1 kNya 17 9 0 4 4 17 0 10 4 3 106 1 1 kNya 20 10 2 4 4 21 3 12 3 3 107 1 1 kNya 33 12 10 6 5 30 6 8 8 8 108 1 1 kNya 25 10 5 5 5 22 0 12 0 10 109 1 1 kNya 21 8 3 5 5 20 0 10 10 0 110 1 1 kNya 18 7 6 5 0 13 0 10 3 0 111 1 1 kNya 14 7 0 7 0 11 10 1 0 0 112 1 1 kNya 11 7 0 4 0 9 1 3 3 2 113 1 1 kNya 40 14 12 7 7 38 2 12 12 12 114 1 1 kNya 2 2 0 0 0 0 0 0 0 0 115 1 1 kNya 39 13 12 7 7 35 10 10 10 5

303



k/m

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kul •5

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116 1 1 kNya 16 8 4 4 0 18 10 0 3 5 117 1 1 kNya 15 7 4 4 0 10 5 0 5 0 118 1 1 kumar 35 5 12 12 6 32 14 8 6 4 119 1 1 kumar 15 5 0 5 5 15 10 0 5 0 120 1 1 kumar 5 5 0 0 0 2 2 0 0 0 121 1 1 kumar 22 6 0 8 8 20 10 0 10 0 122 1 1 kumar 4 4 0 0 0 1 1 0 0 0 123 1 1 kumar 13 8 0 5 0 10 10 0 0 0 124 1 1 kumar 17 9 0 4 4 15 10 0 5 0 125 1 1 kumar 15 5 0 5 5 11 10 0 0 1 126 1 1 kumar 5 5 0 0 0 0 0 0 0 0 127 1 1 kumar 2 2 0 0 0 2 2 0 0 0 128 1 1 kumar 20 8 0 6 6 22 10 2 0 10 129 1 1 kumar 15 7 0 8 0 14 10 0 3 1 130 1 1 kumar 22 6 0 8 8 21 10 0 0 11 131 1 1 kumar 19 8 0 6 5 10 9 0 1 0 132 1 1 kumar 21 8 2 6 5 20 10 0 10 0

304



k/m

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133 1 1 kumar 20 7 2 6 5 20 12 0 4 4 134 1 1 kumar 32 12 6 7 7 31 10 10 1 10 135 1 1 kumar 37 14 4 9 10 40 14 14 10 12 136 1 1 kumar 24 8 0 8 8 22 7 0 5 10 137 1 1 kumar 9 9 0 0 0 3 3 0 0 0 138 1 1 kumar 15 8 0 7 0 10 5 4 1 0 139 1 1 kumar 35 12 0 12 11 32 12 0 10 10 140 1 1 kumar 24 10 0 7 7 26 11 2 3 10 141 1 1 kumar 42 14 4 12 12 44 14 10 10 10 142 1 1 kumar 44 14 6 12 12 40 13 9 9 9 143 1 1 kumar 32 6 2 12 12 30 10 0 10 10 144 1 1 kumar 25 10 5 5 5 20 10 0 2 8 145 1 1 kumar 26 11 5 5 5 26 12 4 2 8 146 1 1 kumar 35 12 10 12 1 31 11 0 10 10 147 2 1 kNya 20 6 12 6 6 32 4 12 12 4 148 2 1 kNya 20 5 5 5 5 24 0 8 10 6 149 2 1 kNya 13 6 0 7 0 10 0 5 4 10

305



k/m

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150 2 1 kNya 36 0 12 12 12 40 4 12 12 12 suivkist ivStar •1–, iny&i{at jU9 •2–

151 2 1 kNya 48 12 12 12 12 44 8 12 12 12 152 2 1 kNya 47 11 12 12 12 45 11 12 12 10 153 2 1 kNya 40 4 12 12 12 42 6 12 12 12 154 2 1 kNya 50 14 12 12 12 50 14 12 12 12 155 2 1 kNya 32 0 12 10 10 30 2 12 8 8 156 2 1 kNya 48 12 12 12 12 50 14 12 12 12 157 2 1 kNya 34 5 12 12 5 36 0 12 12 12 158 2 1 kNya 30 1 12 12 5 32 8 10 10 4 159 2 1 kNya 44 8 12 12 12 40 8 12 10 10 160 2 1 kumar 40 4 12 12 12 40 6 12 12 10 161 2 1 kumar 23 0 12 6 5 20 0 10 10 0 162 2 1 kumar 34 6 12 10 6 36 0 12 12 12 163 2 1 kumar 50 14 12 12 12 50 14 12 12 12 164 2 1 kumar 34 10 10 8 6 32 0 12 10 10 165 2 1 kumar 44 12 12 10 10 45 11 12 12 10

306



k/m

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307



k/m

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183 2 1 kumar 32 2 8 12 10 35 5 10 10 10 184 2 1 kumar 41 5 12 12 12 44 8 12 12 12 185 2 1 kumar 35 0 12 12 11 30 0 12 8 10 186 2 1 kumar 39 4 12 12 11 44 12 12 10 10 187 2 1 kumar 45 9 12 12 12 48 12 12 12 12 188 2 1 kumar 46 10 12 12 12 50 14 12 12 12 189 2 1 kumar 40 10 10 10 10 42 10 12 10 10 190 2 1 kumar 20 10 0 10 0 15 5 10 0 0

piri=q4oni yadi - inflibnetshodhganga.inflibnet.ac.in/bitstream/10603/3848/17/17_appendices.… ·...

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