Inter 2012 modal paper_new syllabus

b.VjehfM,V ijh{kk&2012
fo’k; & fgUnh
izFke iz”ui=
le; & 3 ?k.Vs iw.kkZd&50
a
iz”u 1¼d½& Hkk’kk ;ksx okf”k’B ds jpukdkj dk uke fyf[k,A 1
¼i½ eq”kh lnklq[k ykyA
a ¼ii½ eq”kh ba”kk vYyk [kk¡A
a
¼iii½ jke izlkn fujatuhA ¼iv½ ia0 yYyw ykyA
¼[k½ ‘fgUnh iznhi’ uked ekfld if=dk ia0 ckyd`’.k HkV~V us izdkf”kr dhA ;g
fdl ;qx dh if=dk gSA 1
¼i½ HkkjrsUnq ;qx ¼ii½ f}osnh ;qx ¼iii½ “kqDy ;qx ¼iv½ Nk;koknksRrj ;qx
¼x½ ukxjh izpkfj.kh lHkk dh LFkkiuk fdlus dh 1
¼i½ ckcw “;ke lqUnj nkl ¼ii½ xksfoUn ukjk;.k feJ
¼iii½ ljnkjiw.kZ flag ¼iv½ feJcU/kq
¼?k½ ‘,dkadh&lezkV’ dgk tkrk gS & 1
¼i½ jke dqekj oekZ dks ¼ii½ lsB xksfoUn nkl dks
¼iii½ gfjd`’.k izeh dks
s ¼iv½ eksgu jkds”k dks
¼M-½ ‘/kzqoLokfeuh’ fdl fo/kk dh jpuk gS 1
¼i½ miU;kl ¼ii½ ukVd ¼iii½ ,dkadh ¼iv½ dgkuh
Ikz”u 2¼d½ vkfn dky dh nks izeq[k izo`fRRk;ka fyf[k,A 2
¼[k½ fdUgha nks Nk;koknh jpukdkjksa ds uke rFkk mudh ,d&,d jpuk fyf[k,A 2
¼x½ ‘t;pUnz izdk”k’ fdldh jpuk gS 1
¼i½ pUncjnk;h ¼ii½ ujifr ukYg ¼iii½ HkV~V dsnkj ¼iv½ fo|kifr
Ikz”u 3¼d½ fuEufyf[kr vorj.kksa esa ls fdlh ,d dh llUnHkZ O;k[;k dhft,% 1$6=7
¼i½ vkSj og :Ik;k fcuk cqf) c<+s u c<+xkA Hkkb;ks! jktk&egkjktkvksa dk eq¡g er
s a
ns[kks] er ;g vk”kk j[kks fd iafMr th dFkk esa ,slk mik; crykosxsa fd ns”k
dk :Ik;k vkSj cqf) c<+A rqe vkt gh dej dlks] vkyl NksMkA dc rd
s +s
vius dks taxyh] gwl] ew[kZ] cksns Mjiksdus iqdjokvksx nkSM+k]s bl ?kqM+ nkSM+ esa
s
tks ihNs iM+s rks fQj dgha fBdkuk ughaA
¼ii½ Hkk’kk Lo;a laLd`fr dk ,d vVwV vax gSA laLd`fr ijEijk ls fu%l`r gksus ij
Hkh] ifjorZu”khy vkSj xfr”khy gSA mldh xfr foKku dh izxfr ds lkFk
tksM+h tkrh gSA oSKkfud vkfo’dkjksa ds izHkko ds dkj.k mn~Hkwr u;h
lkaLd`frd gypyksa dks “kkfCnd :Ik nsus ds fy, Hkk’kk ds ijEijkxr iz;ksx
Ik;kZIr ugha gSA blds fy, u;s iz;ksxkas dh] u;h Hkko&;kstukvksa dks O;DRk
a
djus ds fy, u;s “kCnksa ds [kkst dh egrh vko”;drk gSA

¼[k½ fuEufyf[kr esa ls fdlh ,d lwfDr dh llUnHkZ O;k[;k dhft,A 3
¼i½ laLd`fr gh tu dk efLr’d gSA
¼ii½ nq%[k gh Hkxoku dk ve`r gSA
¼iii½ ize dh Hkk’kk “kCn jfgr gSA
s
Ikz”u 4¼d½& fuEufyf[kr vorj.kksa esa ls fdlh ,d dh lizalx O;k[;k dhft, % 1$6=7
¼i½ djkS dqcr txq] dqfVyrk rtkSa u nhu n;kyA
nq[kks gksgqxs ljy fg;] clr f=Hkaxh ykyA
¼ii½ d`ikfu/kku lqtku laHkq fg; dh xfr tkuhA
fn;kS lhl ij Bke cke dfj dS euekuhAA
ldqpfr ,sapfr vax xax lq[k lax ytkuhA
tVk&twV fgedwV l?ku cu flfefV lekuhAA
¼[k½ fuEufyf[kr lwfDr;ksa esa ls fdlh ,d dh lanHkZ lfgr O;k[;k dhft, % 3
¼i½ cw¡n lek.kh len eS] lks dr gsjh tkbA
¼ii½ vc rkS nknqj cksfygS]a geSa iwfNgSa dkSuA
¼iii½ pkj fnu lq[kn pk¡nuh jkr
vkSj fQj va/kdkj] vKkrA
iz”u 5& fuEufyf[kr esa ls fdlh ,d ys[kd dk thou ifjp; fy[krs gq, mldh d`fr;ka
rFkk Hkk’kk “kSyh Hkh fyf[k,A 4
¼i½ ljnkj iw.kZ flag ¼ii½ jk; d`’.k nkl
¼iii½ HkkjrsUnq gfj”pUnz ¼iv½ tSuUnz dqekj
s
Ikz”u 6& fuEufyf[kr dfo;ksa esa ls fdlh ,d dk thou ifjp; nsrs gq, d`fr;k¡ rFkk
lkfgfR;d fo”ks’krkvksa ij izdk”k Mkfy,A 4
¼i½ lar dchj ¼ii½ lwjnkl ¼iii½ eSfFkyh”kj.k xqIr ¼iv½ egknsoh oekZ
Ikz”u 7¼d½ ‘izk;f”pr’ vFkok ‘le;’ dgkuh dh fo’k; oLrq la{ksi esfyf[k,A
a 4
vFkok
‘ykVh’ vFkok ‘cgknqj’ dgkuh ds m}s”; ij izdk”k Mkfy,A
¼[k½ LoifBr ukVd ds vk/kkj ij fuEufyf[kr iz”uksa esa ls fdlh ,d iz”u dk mRrj
fyf[k,A 4
¼i½ ‘dqgklk vkSj fdj.k’ ukVd ds vk/kkj ij lquUnk dh pkfjf=d fo”ks’krk,¡ fyf[k,A
vFkok
‘dqgklk vkSj fdj.k’ ukVd ds f}rh; vad dh dFkkoLrq fyf[k,A
¼ii½ ‘lw=iq=’ ukVd ds vk/kkj ij d.kZ dk pfj= fp=.k fyf[k,A
vFkok
lw=iq= ukVd ds vk/kkj ij d.kZ dk pfj= fp=.k fyf[k,A

¼iii½ ‘jkteqdqV’ ukVd ds uk;d dk pfj= fp=.k dhft,A
vFkok
jkteqdqV ukVd dk dFkkud vius “kCnks esa fyf[k,A
¼iv½ ‘vku dk eku’ ukVd dh dFkkoLrq fyf[k,A
vFkok
nqxkZnkl ds pfj= dh fo”ks’krk,¡ fyf[k,A
¼v½ ‘x:.k/ot’ ukVd ds dFkkud ij izdk”k Mkfy,A
vFkok
xq:.k/ot ukVd ds vk/kkj ij dkfynkl ds pfj= dh fo”ks’krk;sa fyf[k,A
iz”u 8& fuEufyf[kr [k.M dkO;ksa esa esa ifBr [k.M dkO; ds vk/kkj ij fdlh ,d [k.M
dkO; ls ,d iz”u dk mRrj fyf[k,& 4
¼d½ ‘jf”ejFkh’ [k.M dkO; ds vk/kkj ij dqUrh dk pfj= fp=.k dhft,A
vFkok
‘jf”ejFkh’ [k.M dkO; dk lkjka”k vius “kCnks esa fyf[k,A
¼[k½ ‘eqfDr;K’ [k.M dkO; ds vk/kkj ij egkRek xk¡/kh dh pkfjf=d fo”ks’krkvksa dk
mYys[k djsaA
vFkok
‘eqfDr;K’ [k.M dkO; dh dFkkoLrq la{ksi esa fyf[k,A
¼x½ ‘vkyksdo`Rr’ ds uk;d dk pfj= fp=.k dhft,A
vFkok
‘vkyksdo`Rr’ [k.M dkO; dh dFkkoLrq vius “kCnks esa fyf[k,A
¼?k½ ‘R;kxiFkh’ [k.M dkO; ds vk/kkj ij jkT;Jh dk pfj= fp=.k fyf[k,A
vFkok
‘R;kxiFkh’ [k.M dkO; ds f}rh; lxZ dk lkjka”k fyf[k,A
¼M-½ ‘lR; dh thr’ [k.M dkO; dh dFkkoLrq la{ksi esa fyf[k,A
vFkok
‘lR; dh thr’ [k.M esa of.kZr ;qf/kf’Bj ds pfj= fp=.k dk o.kZu dhft,A
¼p½ ‘Jo.k dqekj’ [k.M dkO; ds vk/kkj ij Jo.k dqekj dk pfj= fp=.k dhft,A
vFkok
‘Jo.k dqekj’ [k.M dkO; dk lkjka”k vius “kCnksa esa fyf[k,A

------------------------------------------------------------

fo’k; & fgUnh
f}rh; iz”ui=
le; & 3 ?k.Vs iw.kkZd&50
a
iz”u 1& fuEufyf[kr vorj.kksa dk lUnHkZ lfgr fgUnh esa vuqokn dhft, % 5$5=10
¼d½ vL;ksiR;dk;ka fo|eku% d”ehjks ns”k% Lodh;kfHk% lq’kekfHk%
HkwLoxZ bfr laK;k vfHkfgrks Hkofr yksd]s rr”p iwoZL;ka fnf”k
fLFkr% fdUuj&ns”kks nsoHkwfeukEuk izkphulkfgR;s izfl}% vklhr~A
v|kfi ‘dqy?kkVh’ bfr ukEuk izfl)ks·;a izn”k% je.kh;r;k ds’kka euks u
w s
gjfrA f”keyk&nsgjknwu&elwjh&uSuhrky&izHk`rhfu uxjkf.k ns”kL;&
lEiUuku~ tuku~ xzh’erkSZ cykfno Hkze.kk; vkd’kZfUrA ,H;ks·fi iwoZfLeu
Hkkxs·ofLFkr% je.kh;re% izn”k% dke:ir;k ‘dke:Ik’ bfr laK;k vfHk/kh;rsA
s
vFkok
/kU;ks·;e~ Hkkjrns”k% ;= leqYylfr tuekulikouh] HkO;Hkkoksn~Hkkfouh]
“kCn&lUnksg&izlfouh lqjHkkjrhA fo|ekus’kq fuf[kys’ofi okM-e;s’kq vL;k%
okM-e;e~ loZJ’Ba lqlEiUua p orZrA b;eso Hkk’kk laLd`rukEuk·fi yksds
s s
izfFkrk vfLrA vLekda jkek;.k&egkHkkjrk|Sfrgkfld xzUFkk%]
pRokjksosnk%] lokZ mifu’kn%] v’Vkn”kiqjk.kkfu] vU;kfu p egkdkO;
ukV~;knhfu vL;keso Hkk’kk;ka fyf[krkfu lfUrA
¼[k½ grks ok izkIL;fl LoxZa ftRok ok Hk{;ls eghe~A
rLeknqfÙk’B dkSUrs;! ;q/nk; d`rfu”p;%AA
vFkok
ijks{ks dk;ZgUrkja izR;{ks fiz;okfnue~A
otZ;Ùkkn`”ka fe=a fo’kdqEHka Ik;kseq[ke~AA
s
iz”u 2& fuEufyf[kr lwfDr;ksa esa ls fdlh ,d dh lanHkZ&lfgr fgUnh esa O;k[;k dhft,% 4
¼d½ bZ”kkokL;fena loZa ;r~ fdTp txR;ka txr~]
¼[k½ leqnziRU;kstZylfUuikrs] iwrkReuke= fdykfHk’ksdkr~A
¼x½ o`Ùka ;Rusu laj{ksn~ foÙkek;kfr ;kfr pA
¼?k½ uSua fNUnfUr “kL=kf.k uSua ngfr ikod%A
Ikz”u 3& fuEufyf[kr iz”uksa esa fdUgha nks iz”uksa ds mRrj laLd`r esa nhft, % 4
d& fgeky; ioZr% Hkkjrns”kL; dL;ka fnf”k orZr s
[k& vfHkoknu “khyL; dkfu o/nZUrs
x& lqHkk’kL; tUe dq= vHkor~
?k& loZ/kua iz/kkue~ fde~ /kue~ vfLr

Ikz”u 4
¼d½ ‘ohjjl vFkok “kkUr jl’ dh ifjHkk’kk mnkgj.k lfgr fyf[k,A 2
¼[k½ ‘vuqizkl’ vFkok ‘lUnsg’ vyadkj dh ifjHkk’kk ,oa mnkgj.k fyf[k,A 2
¼x½ nksgk eugj dfoÙk ,oa gfjxhfrd esa ls fdlh ,d dk y{k.k ,oa mnkgj.k
fyf[k,A 2

Ikz”u 5& fuEufyf[kr fo’k;ksa esa ls fdlh ,d ij viuh Hkk’kk&”kSyh esa fucU/k fyf[k, % 9
¼i½ ‘foKku ojnku ;k vfHk”kki’a
¼ii½ ‘jk’VªHkk’kk fgUnh’A
¼iii½ ‘Hkz’Vkpkj ,oa ns”k dh mUufr’A
¼iv½ ‘eagxkbZ dh leL;k’A
¼v½ ‘Ik;kZoj.k iznw’k.k’A
¼vi½ ‘lkfgR; lekt dk niZ.k gS’A

Ikz”u 6¼d½
¼i½ l%$v{kj% vFkok fir`$vkKk esa dkSu lh lfU/k gSA 1
¼ii½ jkel~$Vhdrs ;k yHk~$/k% esa dkSu lh lfU/k gS mldk uke crkb;sA 1
¼iii½ /kue~$t;% vFkok jkel~$iBfr esa dkSu lh lfU/k gSA 1
¼[k½ fuEufyf[kr “kCn :iksa esa nks ds opu vkSj foHkfDr dk lgh fodYi 1$1=2
pqudj fyf[k, %
¼i½ “vkReu%” ¼ii½ “jktkukS”
v& ,dopu] lIreh v& f}opu] izFkek
c& f}opu] r`rh;k c& prqFkhZ] ogqopu
l& ,dopu] iapeh l& ,dopu] r`rh;k
n& cgqopu] lIrehA n& f}opu] r`rh;k
¼iii½ loZfLeu~
v& r`rh;k ,dopu
c& prqFkhZ cgqopu
l& ‘k’Bh ,dopu
n& lIrih ,dopu
¼x½¼1½ ‘ik’ rFkk uh /kkrq yV~ ydkj e/;e iq:’k f}opu dk :Ik fyf[k,A 2
¼?k½¼1½ fuEufyf[kr esa ls fdlh ,d “kCn ds /kkrq@“kCn ,oa izR;; dk ;ksx Li’V
dhft,A 1
ifBRok] xRok] vuh;] n`’Vok vkfnA

¼ii½ fuEufyf[kr esa ls fdlh ,d esa crk;sa dkSu lk izR;; gSA 1
Jher~] /kher~] izHkqrk] xq#rk] vkfnA
¼M-½ js[kkafdr inksa esa ls fdUgha nks inksa esa iz;qDr foHkfDr rFkk mlls lEcfU/kr 1$1=2
fu;e dk mYys[k dhft, %
¼i½ xzkee~ ifjr% o`{kk% lfUrA
¼ii½ bUnzk; LokgkA
¼iii½ d.ksZu cf/kj%A
¼p½ ;Fkk”kfDr%] uhykEcqte~ esa fdlh ,d dk foxzg djds lekl dk uke fyf[k,A 2
Ikz”u 7& fuEufyf[kr pkj okD;ksa dk laLd`r esa vuqokn dhft,A 4
¼v½ ckyd xsan ls [ksyrs gSA a
¼c½ xk¡o ds pkjksa vksj ckx gSA
¼l½ ckyd iqLrd i<+rk gSA
¼n½ ckfydk xhr xkrh gSA
¼;½ eksgu “;ke ds lkFk nkSMrk gSA +
¼j½ rqe fdl d{kk esa i<+rs gks
---------------------------------------------------

b.VjehfM,V ijh{kk l=] 2012
ekMWy iz'ui=
fo"k;&lkekU; fgUnh ¼ I ½
le;&3 ?k.Vs iw.kkZd%
a
50
1& ¼d½ HkkjrsUnq ;qx esa fdl if=dk dk izdk'ku gqvk 1
¼i½ gal
¼ii½ dfoopu lq/kk
¼iii½ /keZ;qx
¼iv½ fnueku
¼[k½ ^^Hkkjr o"kksZUufr dSls gks ldrh gS fucU/k fdl lu~ esa fy[kk x;k Fkk1
1
¼i½ lu~ 1857 bZ0 esa
¼ii½ lu~ 1884 bZ0 esa
¼iii½ lu~ 1868 bZ0 esa
¼iv½ lu~ 1883 bZ0 esa
¼x½ ^^i`fFkohiq=** fdl fo/kk dh jpuk gS 1
¼i½ fucU/k laxzg
¼ii½ laLej.k
¼iii½ dgkuh
¼iv½ vkRedFkk
¼?k½ fuEufyf[kr esa ,dkadh ds tud ekus tkrs gSA
a 1
¼i½ txnh'k pUnz ekFkqj
¼ii½ mn; 'kadj HkV~V
¼iii½ MkW0 jke dqekj oekZ
¼iv½ fo".kq izHkkdj

¼³½ MkW0 gtkjh izlkn f}osnh dh jpuk gS 1
¼i½ fpUrkef.k
¼ii½ fopkj izokg
¼iii½ ehy ds iRFkj
¼iv½ tathj vkSj nhokjsa
2& ¼d½ fgUnh dh izFke jpuk gS 1
¼i½ nksgk dks'k
¼ii½ Jkodkpkj
¼iii½ i`Foh jktjklks
¼iv½ Hkjrs'oj&ckgqcyh jkl
¼[k½ jhfr dky ds dfo gSa 1
¼i½ ds'konkl
¼ii½ t;'kadj izlkn
¼iii½ rqylhnkl
¼iv½ txUukFk nkl ^jRukdj*
¼x½ tk;lh dk in~ekor fdl Hkk"kk esa fy[kk x;k gS 1
¼i½ cztHkk"kk
¼ii½ vo/kh
¼iii½ [kM+hcksyh
¼iv½ Qkjlh

¼?k½ ^rkjlIrd* dk izdk'ku&o"kZ gSA 1
¼i½ lu~ 1951
¼ii½ lu~ 1954
¼iii½ lu~ 1943
¼iv½ lu~ 1959

¼³½ ^xaxkorj.k* ds jpf;rk gSa 1
¼i½ fcgkjh
¼ii½ Hkw"k.k
¼iii½ txUukFk jRukdj
¼iv½ lqfe=kuUnu iUr
3& ¼d½ fuEufyf[kr vorj.kksa esa ls fdlh ,d dh lanHkZ lfgr O;k[;k dhft,: 2$5=7
7
¼i½& ge ugha le>rs fd budks ykt Hkh D;ksa ugha vkrh fd ml le; esa tcfd
buds iq:[kksa ds ikl dksbZ Hkh lkeku ugha Fkk] rc mu yksxksa us taxy esa iRrs
vkSj feV~Vh dh dqfV;ksa esa cSB djds ck¡l dh ukfy;ksa ls tks rkjkxzg vkfn os/k
djds mldh xfr fy[kh gS] og ,slh Bhd gS fd lksyg yk[k :i;s ds ykxr
dh foyk;r esa tks nwjchu cuh gS muls mu xzgksa dks cs/k djus esa Hkh ogh
xfr Bhd vkrh gSA
¼ii½ ysfdu iqf"ir v'kksd dks ns[kdj esjk eu mnkl gks tkrk gSA blfy, ugha
fd lqUnj oLrqvksa dks grHkkX; le>us esa eq>s dksbZ fo'ks"k jl feyrk gSA dqN
yksxksa dks feyrk gS os cgqr nwjn'khZ gksrs gSA tks Hkh lkeus iM+ x;k] mlds thou ds
a
vfUre eqgwrZ rd dk fglkc os yxk ysrs gSA esjh n`f"V bruh nwj rd ugha
a
tkrhA fQjHkh esjk eu bl Qwy dks ns[kdj mnkl gks tkrk gSA vlyh dkj.k
rks esjs var;kZeh gh tkurs gksx]sa dqN FkksMk lk eSa Hkh vuqeku dj ldrk gw¡!
+
crkrk gw¡A
¼[k½ fuEufyf[kr esa ls fdlh ,d lwfDr dh lUnHkZ lfgr O;k[;k dhft,A 1$2= 3
¼i½ lc mUufr;ksa dk ewy /keZ gSA
¼ii½ vkpj.k dk fodkl thou dk ijeksn~n'; gSA
s
¼iii½ fuUnk dqN yksxksa dh iw¡th gksrh gSA

4& ¼d½ fuEufyf[kr vorj.kksa esa ls fdlh ,d dh llanHkZ O;k[;k dhft,A 2$5=7
7
¼i½ dgr dr ijns'kh dh ckrA
efUnj vj/k vof/k cfn gelkS]a gfj vgkj pfy tkrA
lfl&fjiq oj"k] lwj&fjiq tqxcj] gj&fjiq dhUgksa ?kkrA
e?k iapd yS x;kS lk¡ojkS]rkrSa vfr vdqykrA
u[kr] osn]xzg tksfj] v/kZ dfj] lksbZ cur vc [kkrA
lwjnkl cl HkbZ fcjg ds] dj ehtSa ifNrkrAA
¼ii½ dkSu rqe lal`fr&tyfuf/k rhj
rjaxks ls Qsdh ef.k ,d;
a
dj jgs futZu dk pqipki
izHkk dh /kkjk ls vfHk"ksd
¼[k½ fuEufyf[kr lwfDr esa ls fdlh ,d dh llanHkZ O;k[;k dhft,A 1$2= 3
¼i½ rqylh LokjFk ehr lc ijekjFk j?kqukFkA
¼ii½ dkfydk lh fdyfd dysÅ nsfr dky dksA
¼iii½ lkS ckj /kU; og ,d yky dh ekbZA
5& fuEufyf[kr esa ls fdlh ,d ys[kd dk thou ifjp; nhft, ,oa lkfgfR;d ifjp;
fyf[k,A 2$2= 4
¼i½ vkpk;Z egkchj izlkn f}osnh
¼ii½ MkW0 lEiw.kkZuUn
¼iii½ MkW0 gtkjh izlkn f}osnh

6& fuEufyf[kr esa ls fdlh ,d dfo dk thou&ifjp; ,oa d`fr;k¡ fyf[k,A 2$2= 4
¼i½ lardchj
¼ii½ dfooj fcgkjh
¼iii½ lqfe=kuUnu iUr
7& ¼d½&^cfynku* vFkok ^iapykbV* dgkuh dk mn~ns'; Li"V dhft,A 4
vFkok
vkdk'k}hi vFkok cgknqj dgkuh dk lkjka'k vius 'kCnksa eas fyf[k,A

¼[k½&LoifBr ukVd ds vk/kkj ij fuEufyf[kr iz'uksa esa ls fdlh ,d dk mRrj
nhft,A 4
¼i½ ^jkteqdqV* ukVd dh dFkkoLrq fyf[k,A
vFkok
^jkteqdqV* ukVd ds vk/kkj ij uk;d dk pfj=&fp=.k fyf[k,A
¼ii½ ^lwr iq=* ukVd ds vk/kkj ij ^d.kZ* dk pfj=&fp=.k dhft,A
vFkok
^lw= iq=* ukVd ds izFke vad dh dFkkoLrq fyf[k,A
¼iii½ ^vku dk eku* ukVd ds izeq[k ik= dk pfj=&fp=.k fyf[k,A
vFkok
^vku dk eku* ukVd dk dFkklkj fyf[k,A
¼iv½ ^x:.k /ot* ukVd ds vk/kkj ij dkfynkl dk pfj=&fp=.k dhft,A
vFkok
^x:.k /ot* ukVd dh dFkkoLrq la{ksi esa fyf[k,A
¼v½ ^dqgklk vkSj fdj.k* ds f}rh; vad dh dFkkoLrq fyf[k,A
vFkok
^dqgklk vkSj fdj.k* ukVd ds eq[; L=h&ik= dk pfj=&fp=.k
fyf[k,A
8& LoifBr [k.MdkO; ds vk/kkj ij fdlh ,d [k.M ds ,d iz'u dk mRrj nhft,A 4
¼d½ ¼i½ ^eqfDr ;K* [k.M dkO; ds vk/kkj ij egkRek xkW/kh dk pfj=&fp=.k
dhft,A
¼ii½ ^eqfDr ;K* [k.MdkO; dh dFkkoLrq fyf[k,A
¼[k½ ¼i½ ^lR;thr* [k.MdkO; ds vk/kkj ij nq;ksZ/ku dk pfj=&fp=.k dhft,A
¼ii½ ^lR;thr* [k.MdkO; dh dFkkoLrq ij izdk'k Mkfy,A

¼x½ ¼i½ ^jf'ejFkh* ds lIre lxZ dh dFkk vius 'kCnksa esa fyf[k,A

¼ii½ ^jf'ejFkh* [k.MdkO; ds vk/kkj ij dqUrh dk pfj=&fp=.k dhft,A
¼?k½ ¼i½ ^vkyksd o`Rr* [k.MdkO; ds vk/kkj ij uk;d dk pfj=kadu dhft,A
¼ii½ ^vkyksd o`Rr* [k.MdkO; ds iape lxZ dh dFkkoLrq fyf[k,A
¼³½ ¼i½ ^Jo.k dqekj* [k.MdkO; ds vk/kkj ij ^Jo.k dqekj* dk pfj=&fp=.k
dhft,A
¼ii½ ^Jo.k dqekj* [k.MdkO; dh dFkkoLrq ij izdk'k Mkfy,A
¼p½ ¼i½ ^R;kx iFkh* [k.MdkO; dh dFkkoLrq ij izdk'k Mkfy,A
¼ii½ ^R;kx iFkh* [k.MdkO; ds vk/kkj ij ^g"kZo/kZu* dk pfj=&fp=.k
dhft,A
-----------------------------------------------------------

izfrn”kZ iz”ui=
lkekU; fgUnh
f}rh; iz”ui=
le; % rhu ?kUVs iw.kkZd&50
a
1& fuEufyf[kr vorj.kks dk lUnHkZ lfgr fgUnh esa vuqokn dhft,A 4$4¾8
¼d½ iqjk oRlukedesda le`)a jkT;eklhr~A vL; jkt/kkuh dkS”kkEch br% ukfrnwj·orZrA
a s
vL; jkT;L; “kkld% egkjkt% mn;u% ohj% vizfrelqUnj% yfyrdykfHkK”pklhr~A ;equkrVs
vk/kqfud lqtkou&xzkes rL; lq;keqUkizklknL; /oalko”ks’kk% rL; lkSUn;kZuqjkxa [;ki;fUrA
fiz;n”khZ lezkV v”kksd% dkS”kkEC;keso Lokf”kykys[kedkj;r~ ;ks·/kquk dkS”kkEC;k% vkuh;
iz;kxL; nqxsZ lqjf{kr%A
vFkok

;w;a eg~;a jDreiZ;r~ vga ;q’eE;e~Lora=rka nkL;kfe]bfr jksekapdj% “kCn lewg% lqHkk’kL;
eq[kkr~ ;sukfi Jqr% l% Rofjreso rsu lg LokrU=; laxzkes lSfud :is.k vorh.kZ%A rfLeUuso
le;s czgens”k fuokfluhfHk% ukjhfHk% LoHkw’k.kS% lg% lkSHkkX; lwpdkfu Lo.kZl=k.;fi
w
lqHkk’kpj.k;ksjfiZrkfuA

¼[k½ uSua fNUnfUr “kL=kf.k uSua ngfr ikod%A
Uk pSua DysnUR;kiks u “kks’k;fr ek:r%A
vFkok
lq[kkfFkZu% dqrks fo|k dqrks fo|kfFkZu% lq[ke~A
lq[kkFkhZ ok R;tsn~ fo|ka fo|kFkhZ ok R;tsr~ lq[ke!AA

2& fuEufyf[kr lwfDr;ksa esa ls fdlh ,d lwfDr dh lanHkZ lfgr fgUnh esa O;k[;k dhft,A4
4
¼v½ dhfrZ;ZL; l thofrA
¼c½ Hkk’kklq eq[;k ek/kqjk fnO;k xhokZ.kHkkjrhA
¼l½ vkpkjkYyHkrs g~;k;qjkpkjkYyHkrs fJ;e~A

3& fuEufyf[kr eqgkojksa vkSj yksdksfDr;ksa esa ls fdUgha nks ds vFkZ fy[krs gq, okD; iz;ksx
dhft,A 2$2¾4
¼1½ bZn dk pkWn gksuk
¼2½ ukd cpkuk
¼3½ ukS nks X;kjg gksuk
¼4½ ÅWph nqdku Qhdk idoku
¼5½ ?kj dk Hksnh yadk <k;s
¼6½ xaxk x;s xaxknkl tequk x;s tequknkl

4& ¼d½ fuEufyf[kr “kCnksa ds lfU/k&foPNsn ds lgh fodYi dk p;u dj fyf[k,A
1$1$1¾3
¼1½ lokZ.;fi lfU/k foPNsn gS
v& lokZ$.;fi
c& lokZ.k$;fi
l& loZ$vk.;fi
n& lokZf.k$vfi
¼2½ uxsUnz% dk lfU/k foPNsn gS
v& ux$,Unz%
c& ux$bUnz%
l& uxs$,Unz%
n& u$xsUnz%
¼3½ /kkod% dk lfU/k foPNsn gS
v& /kkS$vd%
c& /kko$d%
l& /k$vkod%
n& /kk$od%

¼[k½ fuEufyf[kr “kCn&;qXeksa dk lgh vFkZ pqudj fyf[k,A 1$1¾ 2
¼1½ ;kFkkst&ikFkksn
¼1½ ckny vkSj dey
¼2½ dey vkSj ckny
¼3½ pUnzek vkSj lw;Z
¼4½ leqnz vkSj vkdk”k
¼2½ vkHkj.k&vkej.k
v& iks”kkd vkSj e`R;q
c& vkHkw’k.k vkSj e`R;qi;ZUr
l& e`R;q vkSj thou
n& thou vkSj e`R;q

¼x½ fuEufyf[kr “kCnksa esa ls fdlh ,d “kCn ds nks vFkZ fyf[k,A 2
¼1½ Ik;ks/kj ¼2½ udqy ¼3½ /ku

¼?k½ fuEufyf[kr okD;ka”kks esa ls fdUgha nks ds fy, ,d&,d “kCn fyf[k,A 1$1¾2
¼1½ tks Hkxoku esa vkLFkk u j[krk gks
¼2½ ftlus viuh bfUnz;ksa dks thr fy;k gks
¼3½ ftldk dksbZ vkdkj u gks
¼4½ ftlds vkus dh dksbZ frfFk fuf”pr u gks
¼M-½ fuEufyf[kr “kCn:iksa esa ls fdlh ,d dk opu vkSj foHkfDr fyf[k,A 1$1¾2
¼1½ vkRefu ¼2½ lfjn~fHk%

¼p½ fuEufyf[kr esa ls fdUgha nks dks “kq) dhft,A 1$1¾2
¼1½ lksgu] jke ls eaxyokj ds fnu feysxkA
¼2½ ,d B.Mk fxykl ikuh ykvksA
¼3½ ;g dk;Z eSa Lo;a vius vki d:xWkA

5& ¼d½ gkL; vFkok “kkUr jl dh ifjHkk’kk mnkgj.k lfgr fyf[k,A 2
¼[k½ “ys’k vFkok HkzkfUreku vaydkj dk y{k.k mnkgj.k lfgr fyf[k,A 2
¼x½ lksjBk vFkok dq.Mfy;k NUn dk y{k.k mnkgj.k lfgr fyf[k,A 2

6& vius ftys ds ftykf/kdkjh ds uke ,d i= fyf[k,]ftlesa muls vius xkWo dh lQkbZ
O;oLFkk Bhd djkus gsrq fuosnu fd;k x;k gksA 6
vFkok
viuh xzke lHkk esa ,d LokLF;dehZ fu;qDr djus ds fy, ftyk LokLF; vf/kdkjh
dks ,d i= fyf[k,A

7& fuEufyf[kr fo’k;ksa esa ls fdlh ,d ij viuh Hkk’kk “kSyh esa fucU/k fyf[k,A 9
1& fo”o “kkfUr esa Hkkjr dh Hkwfedk
2& Ik;kZoj.k iznw’k.k
3& [ksydwn f”k{kk vkSj fo|kFkhZ
4& o`{kkjksi.k dk egRo
---------------------------------------------------------------

Modal Paper
Intermediate-2012
English
First Paper
Time-3hours MM:50

Q1: Explain with reference to the context one of the following passages:- 04marks
(a) John comes from a family where heart disease has occurred often , so statistics say that I
am going to give him trouble too, of course , he can’t do anything about here ditty. But he
can do a lot to minimize risk.
(b) Not many people bought kites these days. Adults destined them and children preferred to
spend their money at the movies. Moreover, there were few open spaces left for flying
kites. The city had swallowed up the green ‘maiden’ which had stretched from the old fort
walls to the river Bank.
(c) I could not help it .I burst into a shout of laughter as I looked at Georges wrathful face I
recalled in my chair. I very nearly fell on the floor. George never forgive me. But Tom
often asks me to excellent dinners in his charming house in May four, and if he
occasionally borrows a trifle from me , that is merely force of habit. It is never more than
a sovereign.

Q2: Select one of the following passages and answer the questions that follow: 04marks
(a) I told this Storey to Prime Minister, Pandit Jawaharlal Nehru. I told him, it was
. one reason I had fallen in love with India
The people I saw in India-Those in the village as well as those
in high office –have both pride and lively sense of decency and citizenship They also have
a passion for independence. This beautiful born in squalor and poverty, uneducated in
both grammar and manners-had given me a glimpse of the warm soul of India.
1. Which story did the author tells Pandit Nehru? 01marks
2. What virtue did the author discover in the Indian people? 01marks
3. What did the author see in India? 01marks
4. Who had given the author a glimpse of the warm soul of India? 01marks

(b) The commonest from of forgetfulness ,I suppose, occurs in the matter of posting letters ,
So common is it that I am always reluctant to trust a departing visitors to post an important
letter. So little I do I rely on his memory that I put him on his oath before handling the letter
to him. As for myself, any one who asks me to post a letter as a poor judge of character. Even
if I carry the letter in my hans. I am always past the pillar

1. What is the commonest form of forgetfulness? 01marks
2. Why is the author unwilling to trust anyone to post a letter? 01marks
3. What does the author do with the letters of others? 01marks
4. Give the antonyms of the words-
(i) reluctant (ii) remember ½+1/2=01marks

Q3. Answer any two of the following questions in not more than 30 words each :
2+2=04marks
(1) Why could the writer Mr. Washington not make a good impression upon the head
teacher?

(2) What are the advantages of traveling alone in a railway compartment?
(3) What are the things which modern people do not forget?

Q4: Answer one of the following questions in not more than 150 words : 06marks
(i) What according to c.E.M.Joad is civilization?
(ii) Describe Radhakrishan`s view on women`s education?

Q5: Fill in the blanks in the following Sentences selecting the most Suitable word from
those given within brackets : 4x1/2=02marks
(a) Many people ……………. That they have down through over work.
(wonder , inform , complain, suggest)
(b) Some kind of dream of unity has occupied the mind of India since…………...of
civilization. (development , dawn, middle, change)
(c) The old family Systems is …………… itself to present day condition.
(connecting, adopting ,adapting, finding)
(d) My work pleased the captain so well that he told me I could……………..working
for the small amount per day. (continue , stop , deny, like)

Q6: Answer one of the following questions in not more than 150 words: 05marks
(a) What is your opinion of Portia`s argument that Shylock could not Shed even a drop
of Antonio`s blood while cutting off a pound of his flesh.
(b) How does Shakespeare portray Shylock`s character?

(a) What reason does Shylock give for hating Antonio?
(b) What is Shylock`s reply to Antonio`s request for a loan?

(a) Compare and contrast the characters of Jimmy and Bob?
(b) What do you learn from the story ‘The Selfish Giant’?

(a) Why did Sanku not get any sleep for Several say?
(b) How did the resignation of Gyan babu affect the principal?

Q10: Explain with reference to the context any two of the following extracts:
(a) O, What can all thee, Knight-at-arms,
So haggard and so woe-begone?
The Squirrel`s granary id full,
And the harvest’s done,

(b) When I consider how my light is Spent, Ere half my days, in this dark would and
wide, And that one talent, Which is death to hide, Lodged arth me useless, though
my soul more bent.
(c) Where the mind is without fear and the head is held high; Where knowledge id free;
Where the world has not been broken up into fragments by narrow domestic walls;

Q11: Give the central idea of one of the following poems: 04marks
(a) Education of Nature
(b) To the Pupils
(c) Stopping By woods on A Snowy Evening.

Q12: Answer one of the following questions in about 150 words: 04marks
(a) Contrast the character of Sidhartha with that of his father.
(b) Discuss the role of in “The Light of Asia –‘Book The Third’.

Q13: Define Apostrophe or Metaphor and give an example of it. 1+1=02marks

------------------------------------

izfrn'kZ iz'u i=
b.VjehfM,V ijh{kk 2012
xf.kr izFke iz'ui=
le;% 3 ?k.Vs iw.kkZd& 50
a
¼leqPp;] chtxf.kr] f=dks.kfefr ,oa lfn'k fo'ys"k.k½

funsZ'k& (i) bl iz'u i= esa dqy vkB iz'u gSA
iz a
(ii) lHkh iz'u vfuok;Z gSA a
(iii) izR;sd iz'u ds izkjEHk esa Li"Vr% fy[k fn;k x;k gS fd mlds
fdrus [k.M djus gSAa
(iv) iz'uksa ds vad muds lEeq[k vafdr gSA a
(v) izFke iz'u ls vkjEHk dhft, vkSj vUr rd djrs tkb,A
(vi) tks iz'u u vkrk gks ml ij le; u"V er dhft,A

1- fdUgh pkj [k.Mksa dks gy dhft,&
¼d½ ;fn 9 p r = 60480 gSa rks r dk eku fudkfy,A 1
¼[k½ 3 1
;fn A rFkk B dksbZ nks ?kVuk;sa gks rFkk P (A) = 2 vkSj P(B) = ,ao
5 10
1
P(A ∩ B) = , rks P(A ∩ B) dk eku Kkr dhft,A
5
¼x½ Js.kh 3] 7] 11]----------- dk dkSu lk in 499 gS 1
¼?k½ lehdj.k 3 tan θ − 1 = 0 dks gy djds θ dk O;kid eku Kkr dhft,A 1
¼³½ ml ljy js[kk dk lehdj.k Kkr dhft, tks fcUnq (2, -5, 10) ls gksdj tkrh 1
gS rFkk lfn'k 5ˆ − 3ˆj + 2k ds lekUrj gSA
i ˆ

¼d½ ;fn lfn'k ˆ j ˆ ˆ j ˆ
2i − ˆ + k , i + 2 ˆ − k rFkk 3i + λˆ + 5k ,dleryh;
ˆ j ˆ gS rks λ dk 2
eku Kkr dhft,A
¼[k½ fl) dhft, c(acosB - bcosA) = a2 - b2 2
¼x½ 2x − 3 2
dks vkaf'kd fHkUu esa O;Dr dhft,A
(x − 1)(x − 2)

¼?k½ 1 1 1 1 2
fl) dhft, fd + + =
bc ac ab 2Rr
¼³½ fdlh vf/ko"kZ esa 53 jfookj gksus dh izkf;drk Kkr dhft,A 2
¼d½ ;fn A = {1, 2}, B = {2, 3}, C = {3, 7} rks (A X B) ∪ (A X C) rFkk 2
(A X B) ∩ (A X C) dk eku fudkfy;sA
a
¼[k½ ;fn lehdj.k x3 - 2x2 + cx - 18 = 0 dk ,d ewy 3i gks] rks C dk eku Kkr 2
dhft,A
¼x½ (a + 2x3)16 dk 14 ok¡ in Kkr dkft,A 2
¼?k½ lfn'k ˆ
2i + 3 ˆ + 4k
ˆ j rFkk ˆ
2i + 4 ˆ − 4k
ˆ j ds chp dk dks.k Kkr dhft,A 2
¼³½ izfrfp=.k f: R → R bl izdkj gS fd f(x)=3x+7 x ∈ R, rks fl) dhft, 2
fd f ,dSdh izfrfp=.k gSA
a
4- fdUgh rhu [k.Mksa dks gy dft,&
¼d½ Js.kh 2 4 6
+ + + ..........∞ dk ;ksx Kkr dhft,A 3
1! 3! 5!
¼[k½ fl) dhft, fd cos A . cos B . cos C . cos ∆ 3
2 2 2 4rR
¼x½ lfn'k ˆ
2i + 3 ˆ + 6k
ˆ j ij yEc rFkk lfn'k ˆ
i + 5 ˆ + 3k
ˆ j ds vafre fcUnq ls tkus 3
okys lery dk lehdj.k Kkr dhft,A lery dh ewy fcUnq ls nwjh Kkr
dhft,A
¼?k½ fl) dhft, fd& 3
1 1 1
+ + + ........∞ = 1 − log e 2
1 .3 4 .5 6 .7
5- fdUgh rhu [k.Mksa dks gy dhft, &
¼d½ ;fn N izkÑfrd la[;kvksa dk leqPp; gS rks fl) dhft, fd leqPp; N x N 3
ij lEcU/k R tks (a, b) R (c, d) ⇔ ad = bc }kjk ifjHkkf"kr gS] ,d rqY;rk
lEcU/k gSA

¼[k½ fl) dhft, fd&
1 + a2 − b2 2ab − 2b
2ab 2
1− a + b 2
2a (
= 1 + a2 + b2 )3

2b − 2a 1 − a2 − b2

¼x½ fl) dhft,& 3
(Cosx + i Sin x )4
= Sin 9 x − i Cos 9 x
(Sin x + i Cos x )5
¼?k½ fl) dhft,& 3
1 1+ 3 1+ 3 + 5
+ 2 + + ............∞ = 2e
L1 L L3
6- fdlh ,d [k.M dks gy dhft,& 4
¼d½ 1 0 − 1 
vkO;wg A = 3 4 5  dk lg[k.Mt vkO;wg Adj (A) rFkk A-1 vkO;wg
 
0 − 6 − 7 
 
Kkr dhft,A
¼[k½ ik¡p ikWls ;–PN;k Qsdsa tkrs gSA muesa de ls de rhu ij ,d lh la[;k
a 4
vkus dh izkf;drk Kkr dhft,A
7- fdlh ,d [k.M dks gy dhft,&
¼d½ 60 ehVj Å¡ph fdlh igkM+ dh pksVh ls fdlh ehukj dh pksVh vkSj vk/kkj ds 4
voueu dks.k Øe'k% 30o vkSj 60o gSA ehukj dh Å¡pkbZ Kkr dhft,A
¼[k½ lehdj.k sin-1x + sin-1(1-x) = cos-1x dks gy dhft,A 4
8- fdlh ,d [k.M dks gy dhft,&
¼d½ fl) dhft, dh rhu lfn'k (2ˆ − ˆj + k )]
i ˆ (iˆ − 3 ˆj − 5kˆ ) rFkk (3iˆ − 4 ˆj − 4kˆ ) 4
,d ledks.k f=Hkqt dh Hkqtk;sa fu:fir djrs gSA
¼[k½ leryksa ρ. (3ˆ − ˆj + k ) = 1 rFkk ρ. (ˆ + 4ˆ − 2k ) = 2 dh izfrPNsn js[kk dk
r i ˆ r i j ˆ 4
lehdj.k Kkr dhft,A

b.VjehfM,V ijh{kk 2012
xf.kr f}rh; iz'ui=
le;% 3 ?k.Vs iw.kkZd& 50
a
¼vodyu] lekdyu] funsZ'kkad T;kfefr] fLFkfr foKku
rFkk xfr foKku½
funsZ'k& (i) bl iz'u i= esa dqy vkB iz'u gSA a
(ii) lHkh iz'u vfuok;Z gSA a
(iii) izR;sd iz'u ds izkjEHk esa Li"Vr% fy[k fn;k x;k gS fd mlds
fdrus [k.M djus gSAa
(iv) iz'uksa ds vad muds lEeq[k vafdr gSA a
(v) izFke iz'u ls vkjEHk dhft, vkSj vUr rd djrs tkb,A
le;
(vi) tks iz'u u vkrk gks ml ij le; u"V er dhft,A

¼d½ x 1
;fn f ( x ) = , f(sec2θ) dk eku Kkr dhft,A
x −1
¼[k½ ∫ tan 2 x dx dk eku Kkr dhft,A 1
¼x½ x2 -5xy + 4y2 = 0 dh izo.krkvksa dk ;ksxQy ,oa xq.kuQy Kkr dhft,A 1
¼?k½ x2 + y2 - 8x - 12y + 4 = 0 dk dsUnz vkSj f=T;k Kkr dhft,A 1
¼³½ 10 U;wVu vkSj 5 U;wVu ds nks cyksa dk ifj.kkeh Kkr dhft, tks ,d fcUnq ij 1
ijLij 90o ds dks.k ij dk;Z dj jgs gSA
a
¼d½ 1 + Sin x 2
log dk vodyu Kkr dhft,A
1 − Sin x

¼[k½ Sin x + Cos x 2
∫ 1 + Sin 2x dx dk eku Kkr dhft,A
¼x½ 2x2 + xy - y2 - 11x - 5y + K = 0 ,d js[kk;qXe fu:fir djrk gS rks K dk 2
eku Kkr dhft,A
¼?k½ 65 fdxzk Hkkj dk ,d fi.M 5 ehVj o 12 ehVj yEch nks tathjsa ls c¡/kk gSA 2
tathjksa ds nwljs fljs 13 ehVj nwj fLFkr [kwfV;ksa ls c¡/ks gSA tathjksa esa ruko
a

Kkr dhft,A
¼³½ ,d d.k ,d leku Roj.k ls 8osa vkSj 13osa lsd.M esa 30 ehVj vkSj 40 ehVj
s 2
pyrk gS] mldk izkjfEHkd osx rFkk Roj.k Kkr dhft,A
3& fdUgha pkj [k.Mksa dks gy dhft, &
¼d½ x 3 log e x + x − x 3 e x 2
3
dk vody xq.kkad Kkr dhft,A
x

¼[k½ tan −1 x 2
∫ (1 + x 2 )3 / 2 dx dk eku Kkr dhft,A
¼x½ 9x2 + 4y2 = 144 dh ukfHk rFkk mRdsUnzrk Kkr dhft,A 2
¼?k½ A vkSj B fcUnqvksa ij Øe'k% 4 U;wVu ,oa 6 U;wVu ds lekUrj lefn'k cy
yxs gSA ;fn C, AB ij ifj.kkeh dk fØ;k fcUnq gks] rks AC; BC dk eku
a
fudkfy,A
¼³½ 10 lsd.M rd ,d fdyksxzke Hkkj dk cy ,d fi.M ij yxkrkj dk;Z djrk
s 2
gS vkSj mls ml le; esa 10 ehVj pyk nsrk gSA fi.M dk nzO;eku Kkr
dhft,A
4& fdUgha rhu [k.Mksa dks gy dhft, &
¼d½ Cos x 3
∫ (1 + Sin x )(2 + Sin x ) dx dks gy dhft,A
¼[k½ Sin 3x dk ewy fu;eksa ls x ds lkis{k vody xq.kkad Kkr dhft,A 3
¼x½ fl) dhft, fd ljy js[kk 2x + y = 5 vfrijoy; 2x2 - 3y2 = 15 dks Li'kZ 3
djrh gSA
¼?k½ ,d loZle n.M ftldh yEckbZ 29 ehVj gS tks fdlh fpdus m/okZ/kj nhokj
ds lgkjs fVdk gSA n.M nhokj ds lekUrj b nwjh ij fLFkr ,d m/okZ/kj
lery ij fVdk gSA n.M dk m/okZ/kj ls >qdko θ gS rks fl) dhft,
1/ 3
b
Sinθ=  
a 3

5& fdUgha rhu [k.Mksa dks gy dhft, &
¼d½ π 3
fn[kkb, fd x = ij Qyu Sin x (1+Cos x) mfp"B gSA
3
¼[k½ 1 3
∫ 4 + 5 Cos x dx dk eku Kkr dhft,A
¼x½ fl) dhft, fd lehdj.k x2 + 4y2 + 10x - 16y + 5 = 0 nh?kZo`Rr fu:fir 3
djrk gS blds ukfHk;ksa ds funsZ'kkad Kkr dhft,A
¼?k½ ,d iz{ksI; dk {kSfrt ry ij ijkl izkIr dh xbZ egRre Å¡pkbZ dk frxquk gSA 3
8u
fl) dhft, fd mM~M;u dky gS] tcfd u iz{ksI; osx gSA
5g
6& fdlh ,d [k.M dks gy dhft, &
¼d½ π
x tan x 4
∫ Sec x + Cos x dx dk eku Kkr dhft,A
0

¼[k½ fuf'pr lekdyu dh lgk;rk ls ,d xksyh; dfVcU/k dk vk;ru ,oa 4
oØi`"B Kkr dhft, ftlds fljksa dh f=T;k;sa 5 lseh vkSj 12 lseh gSA
¼d½ oØ y2 - 2x3 - 4y + 8 = 0 ds fcUnq ¼1] 2½ ls Li'kZ js[kk dk lehdj.k Kkr 4
dhft,A
¼[k½ ;fn y = eax Sin bx gks rks fl) dhft, fd 4
d2y dy
2
− 2a + (a 2 + b 2 )y = 0
dx dx
¼d½ ijoy; y2 = 4ax ij fcUnq (at12, 2at1) ls [khapk x;k vfHkyEc oØ dks iqu% 4
2
fcUnq (at22, 2at2) ij dkVrk gks] rks fl) dhft, fd t2 = –t1 –
t1
¼[k½ o`Rr x2 + y2 = a2 dh thok ds e/; fcUnq dk fcUnqiFk Kkr dhft, tks 4

x 2 y2
vfrijoy; 2 − 2 = 1 dh Li'kZ js[kk gksA
a b

Inter 2012 modal paper_new syllabus

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