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Academic Session: 2016-17
JJEEEE PPRREEPPAARRAATTOORRYY TTEESSTT--22 ((JJPPTT--22))((JJEEEE AADDVVAANNCCEEDD PPAATTTTEERRNN))
TTaarrggeett :: JJEEEE ((MMaaiinn++AAddvvaanncceedd)) 22001177
Please read the last page of this booklet for the instructions.(Ñi;k funsZ'kksa ds fy;s bl iqfLrdk ds vfUre i`"B dks i<+sA)
RReessoonnaannccee EEdduuvveennttuurreess LLttdd..CCOORRPPOORRAATTEE OOFFFFIICCEE :: CCGG TToowweerr,, AA--4466 && 5522,, IIPPIIAA,, NNeeaarr CCiittyy MMaallll,, JJhhaallaawwaarr RRooaadd,, KKoottaa ((RRaajj..)) -- 332244000055
PPhh..NNoo.. :: ++9911--774444--33001122222222,, 66663355555555 || TToollll FFrreeee :: 11880000 225588 55555555RReegg.. OOffffiiccee :: JJ--22,, JJaawwaahhaarr NNaaggaarr,, MMaaiinn RRooaadd,, KKoottaa ((RRaajj..))--332244000055 || PPhh.. NNoo..:: ++9911--774444--33119922222222 || FFAAXX NNoo.. :: ++9911--002222--3399116677222222
WWeebbssiittee ::wwwwww..rreessoonnaannccee..aacc..iinn || EE--mmaaiill :: ccoonnttaacctt@@rreessoonnaannccee..aacc..iinn || CCIINN:: UU8800330022RRJJ22000077PPLLCC002244002299
ffnnuukk aadd :: 1144--0055--22001177 || llee;; :: 33 ??kk..VVss || eeggÙÙkkee vvaadd :: 224400
CCOODDEE -- 0
fujh{
kd d
s vuqn
s'kksa d
s fcuk e
qgj u
rksM
P23-16PPAAPPEERR--11
CCOOUURRSSEE :: AALLLL IINNDDIIAA TTEESSTT SSEERRIIEESS ((VVIIKKAALLPP)) || CCLLAASSSS:: XXIIII//XXIIIIII
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-1
dPps dk;Z ds fy, LFkku
Hkkx-I : HkkSfrd foKku[kaM 1 : (vf/kdre vad : 80)
bl [kaM esa chl iz'u gSaA izR;sd iz'u esa pkj fodYi (A), (B), (C) rFkk (D) gSaA bu pkj fodYiksa esa ls ,d ;k ,d ls vf/kd fodYi lgh gSaA izR;sd iz'u esa] lHkh lgh fodYi ¼fodYiksa½ ds vuq:i cqycqys ¼cqycqykas½ dks vks- vkj- ,l- esa dkyk djsaA izR;sd iz'u ds fy, vad fuUufyf[kr ifjfLFkfr;ksa esa ls fdlh ,d ds vuqlkj fn;s tk;saxs % iw.kZ vad : +4 ;fn flQZ lgh fodYi ¼fodYiksa½ ds vuq:i cqycqys ¼cqycqyksa½ dks dkyk fd;k gSA
vkaf'kd vad : +1 çR;sd lgh fodYi ds vuq:i cqycqys dks dkyk djus ij] ;fn dksbZ xyr fodYi dkykugha fd;k gSA
'kwU; vad : 0 ;fn fdlh Hkh cqycqys dks dkyk ugha fd;k gSA_.k vad : –2 vU; lHkh ifjfLFkfr;ksa esa
mnkgj.k % ;fn ,d ç'u ds lkjs lgh mÙkj fodYi (A), (C) rFkk (D) gSa] rc bu rhuksa ds vuq:i cqycqyksa dksdkys djus ij +4 vad feysaxs flQZ (A) vkSj (D) ds vuq:i cqycqyksa dks dkys djus ij +2 vad feysaxs rFkk(A) vkSj (B) ds vuq:i cqycqyksa dks dkys djus ij –2 vad feysaxs D;ksafd ,d xyr fodYi ds vuq:i cqycqysdks Hkh dkyk fd;k x;k gSA
1. m nzO;eku rFkk 'a' f=kT;k dh ,d iw.kZ pkyd ,d leku pdfr ij fopkj djrs gS] tks blds dsUnz ls Å/okZ/kjry esa dhyfdr gS] rFkk [kwVh ds lkis{k ?kw.kZu djus ds fy,] LorU=k gSA ,d izfrjks/k R pdfr ds dsUnz rFkkifjf/k ds e/; nks fQlyus okys lEidZ C1 rFkk C2 ds }kjk tqM+k gqvk gSA ,d yEch nzO;ekughu vpkyd Mksjhpdfr ds pkjksa vksj yisVh gqbZ gS ftldk nwljk fljk m nzO;eku ds CykWd ls tqM+k gqvk gSA ,d leku {kSfrtpqEcdh; {kS=k B mifLFkr gSA lEiw.kZ O;oLFkk fp=k esa n'kkZbZ xbZ gSA
C1 C2
g
2mRm,R,
2
B
R
m
fn;s x;s fudk; dks t = 0 ij fojkekoLFkk ls NksM+k tkrk gSA ;g ekfu;sa fd Mksjh rFkk pdfr ds e/; bruki;kZIr ?k"kZ.k gS fd muds e/; dksbZ fQlyu ugha gksrhA ekuk fdlh le; t ij CykWd dk osx v gSA pdfr dkdks.kh; osx gS rFkk izfrjks/k esa /kkjk i gSA
(A) ÅtkZ lehdj.k ls mgv = 2dv dmv i R
dt dt
(B) pqEcdh; {kS=k }kjk fd;k x;k dk;Z 'kwU; gksxk] fdUrq ;g ;kaf=kd ÅtkZ ds dqN Hkkx dks Å"ek esa :ikUrfjrdj nsxkA
(C) le; ds Qyu ds :i esa CykWd dk osx v, tv (1 e )
gksxkA
(D) CykWd dk Roj.k tge
3 gksxkA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-2
dPps dk;Z ds fy, LFkku
2. m nzO;eku] 0 ewy yEckbZ dk ,d leku rkj T0 rki ij fLFkr gSA rkj dks nks n`<+ vk/kkjks ds e/; nksuksa fljksals tksM+k x;k gS ftuds e/; nwjh 0 ds ckjkcj gSA ifjos'kh rki T0 gSA
vc ifjos'kh dk rki /khjs&/khjs ?kVk;k tkrk gS] rFkk rkj dks f0 fu;r vkof̀r ds Lofj=k f}&Hkqt ds }kjk dEihrfd;k tkrk gSA ;g izSf{kr gksrk gS fd rki T1, T2 rFkk T3 ij rkj Lofj=k f}&Hkqt ds lkFk Øe'k% ewy fo/kk] izFkevf/kLojd rFkk f}rh; vf/kLojd esa vuqukn esa gSA lgh lEcU/kksa dk p;u dhft,A(A) T1 > T2 (B) T2 < T3 (C) 4T2 – T1 = 3T0 (D) 9T3 – 4T2 = 5T0
3. fu;r Roj.k ls ljy js[kk esa xfr dj jgk ,d d.k 7osa lSd.M esa 20 m nwjh rFkk 9
osa lSd.M esa 24 m dh nwjhr; djrk gSA d.k dh xfr ls lEcfU/kr lgh fodYiksa dk p;u dhft,A(A) d.k dk ROkj.k 2 m/s2 gSA(B) d.k dk Roj.k 4 m/s2 gSA(C) 10
osa lSd.M esa d.k }kjk r; dh xbZ nwjh 26 m gSA(D) 10
osa lSd.M esa d.k }kjk r; dh xbZ nwjh 30 m gSA
4. fn;s x;s 3-CykWd fudk; ij fopkj djrs gSA5kg
5kg
5kg(A)
(B)
(C)3=0.3
3=0.2
3=0.1
(3)
(2)
(1)lrgksa ds e/; ?k"kZ.k xq.kkad (LFkSfrd rFkk xfrd) 1,2,3 fp=kkuqlkj gSA fu;r ifjek.k dk ,d {kSfrt cy F
fdlh Hkh CykWd ij vkjksfir fd;k tkrk gSA CykWdksa dh xfr ls lEcfU/kr lgh fodYiksa dk p;u dhft,A(A) ;fn cy F CykWd A ij vkjksfir fd;k tkrk gSA rc F dk vf/kdre lEHko eku ftlds fy,] fdlh Hkh
CykWdksa ds e/; fQlyu u gks] 30 N gSA(B) ;fn cy F CykWd A ij vkjksfir fd;k tkrk gSA rc B rFkk C ds e/; dk;Zjr ?k"kZ.k cy dk vf/kdre
eku 10 N gksxkA(C) ;fn cy F CykWd C ij vkjksfir fd;k tkrk gSA rc F dk vf/kdre eku ftlds fy,] fdlh Hkh CykWdksa ds
e/; fQlyu u gks] 15 N gSA(D) ;fn cy F CykWd C ij vkjksfir fd;k tkrk gSA rc A rFkk B ds e/; dk;Zjr ?k"kZ.k cy dk vf/kdre
eku 20 N gksxkA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-3
5. fdlh vU; lksyj fudk; esa R f=kT;k dh o`Ùkkdkj d{kk esa ,d cgqr Hkkjh rkjs ds pkjksa vksj pDdj yxk jgs ,dgYds xzg ij fopkj djrs gS] tgk¡ xq:Roh; cy r –3 ds vuqlkj ifjofrZr gksrk gSA (r nksuksa d.kksa ds e/; nwjh gS)xzg dh xfr ls lEcfU/kr lgh oØksa dk p;u dhft,A (V xzg dh pky, T xzg dk vkorZdky)
(A)
1
R
R
V
(B)
R
V
R2
(C)
1
R
R
T
(D)
R
T
R2
6. fuEu esa ls dkSulk@dkSuls dFku lgh gSA(A) ;fn izkjfEHkd fLFkfr A ls vfUre fLFkfr B rd d.k ij cy }kjk fd;k x;k dk;Z nksuksa fcUnqvksa ds e/;
izR;sd iFk ds vuqfn'k leku izkIr gksrk gS] rks cy vo'; gh lajf{k gksxkA(B) ;fn izkjfEHkd fLFkfr A ls vfUre fLFkfr B rd d.k ij cy }kjk fd;k x;k dk;Z nks fHkUu&fHkUUk iFk ds
vuqfn'k leku izkIr gksrk gS] rks cy vo'; gh lajf{k gksxkA(C) vfu;fer vkdkj dk ,d pkyd eqDr {kS=k esa j[kk gqvk gSA (vFkkZr~ ogk fo|qr {kS=k dk vU; dksbZ L=kksr ugha
gSA) rc vkos'k pkyd dh lrg ij ,d leku :i ls forfjr gksxkA(D) rkcsa dh IysV dh xfr efUnr gksxh] tc ;g pqEcdh; /kqzoksa ds e/; nkSyu djrh gSA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-4
7. fp=k esa izfrjk/kksa dh O;oLFkk rFkk ,d vkn'kZ cSVjh dks n'kkZ;k x;k gSA
V
B
R4
R2R1
R3
R5
A
izfrjks/k R5 ls xqtjus okyh /kkjk ls lEcfU/kr lgh fodYiksa dk p;u dhft,A
(A) ;fn 1 3
2 4
R R
R R , R5 esa /kkjk A ls B dh vksj izokfgr gksxhA
(B) ;fn 1 3
2 4
R R
R R , R5 esa /kkjk B ls A dh vksj izokfgr gksxhA
(C) ;fn 1 3
2 4
R R
R R , R5 esa /kkjk A ls B dh vksj izokfgr gksxhA
(D) ;fn 1 3
2 4
R R
R R , R5 esa /kkjk B ls A dh vksj izokfgr gksxhA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-5
8. ,d fofe; vuqizLFk rjax dh lehdj.k fuEu izdkj nh xbZ gSA –310 sin 10t – 3x – 2y z
tgk¡ x, y rFkk ehVj esa rFkk t lSd.M esa gSA lgh fodYiksa dk p;u dhft,A
(A) rjax lapj.k ds vuqfn'k ,dkad lfn'kˆ ˆ ˆ3i 2 j – k
14
gksxkA
(B) rjax lapj.k ds vuqfn'k ,dkad lfn'kˆ ˆ ˆ3i 2 j k
14
gksxkA
(C) rjax dh rjaxnS/;Z 2m
7gksxhA
(D) rjax dh rjaxnS/;Z 3m
7gksxhA
9. 200 cm Qksdl nwjh dk ,d vfHklkjh ysal x-y ry ds lekUrj bl izdkj j[kk gqvk gS fd eq[; v{k z-v{k dsvuqfn'k gSA ysal dk izdkf'kd dsUnz P (0, 0, 150 cm) ij fLFkr gSA nks fcUnq A (1 cm, 2 cm, 0) rFkk B
(2 cm, 2 cm, 0) ij fopkj djrs gSA O, A rFkk B dk izfrfcEc O', A' rFkk B' ij curk gSA
P
O
f = 200 cm
xy
AB
z
(A) A' dk funsZ'kkad = (4 cm, 8 cm, 0) (B) B' dk funsZ'kkad = (8 cm, 8 cm, –450 cm)
(C)O' A ' B'
16OAB
dk {kS= kQy
dk {kS= kQy (D) yEckbZ A', B' = 4 cm
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-6
10. fp=k esa iznf'kZr O;oLFkk esa m1 nzO;eku dk CykWd izkjEHk esa lhekUr lkE;koLFkk esa gSA m1 nzO;eku ds CykWd rFkkQ'kZ ds e/; ?k"kZ.k xq.kkad gSA vc m2 nzO;eku ds d.k dks {kSfrt osx v0 fn;k tkrk gSA m2 nzO;eku ds CykWddh f?kjuh ls izkjfEHkd nwjh gSA f?kjuh rFkk Mksjh dk nzO;eku ux.; gSA lgh fodYi@fodYiksa dk p;udhft,A
m1
m2
v0
(A) osx nsus ds Bhd i'pkr~ m1 dk Roj.k20v
1
gksxkA
(B) osx nsus ds Bhd i'pkr~ m1 dk Roj.k20v
1 2
gksxkA
(C) osx nsus ds Bhd i'pkr~ m2 ds iFk dh oØrk f=kT;k 1 gksxhA(D) osx nsus ds Bhd i'pkr~ m2 ds iFk dh oØrk f=kT;k 2 1 gksxhA
11. rki esa o`f) ds lkFk fuEu esa ls dkSulk@dkSuls lgh gSA(A) ikuh dk i`"Bh; ruko ?kVrk gSA (B) ikuh dh ';kurk ?kVrh gSA(C) ok;q dh ';kurk ?kVrh gSA (D) ok;q dh ';kurk c<+rh gSA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-7
dPps dk;Z ds fy, LFkku
12. LrEHkksa dh yECkkbZ i;kZIr gSA vc uyh dks Hkqtk 2 ds lkis{k dks.kh; osx ls bl izdkj ?kqek;k tkrk gS fd Hkqtk2 Bhd i;kZIr [kkyh gks tkrh gSA Hkqtk 1 dk vuqizLFk dkV {kS=kQy A] Hkqtk 2 dk 2A rFkk Hkqtk 3 dk 3A
gSA lgh fodYi@fodYiksa dk p;u dhft,A ( A )
ARM-1 ARM-2 ARM-3
A 2A 3A
h
g
2(A) Hkqtk 1 esa nzo Lrj fxjsxkA
(B) Hkqtk 3 esa nzo Lrj c<+sxkA
(C) Hkqtk 3 rFkk Hkqtk 1 esa nzo Lrj esa vUrj 18h
13gksxkA
(D) Hkqtk 3 rFkk Hkqtk 1 esa nzo Lrj esa vUrj 5h
13 gksxkA
13. ,d leku :i ls vkosf'kr ijr ABCD ij fopkj djrs gS] tks a Hkqtk dh ,d leckgq f=kHkqtkdkj ijr dkfp=kkuqlkj ,d Hkkx gSA
A B
CD
O
60°60°
60° 60°
a
2
a
bl ijr ds dkj.k fcUnq O ij fo|qr {kS=k dh rhozrk E
ls lEcfU/kr lgh fodYIk@fodYiksa dk p;u dhft,A(A) E dk ifjek.k a esa o`f) ds lkFk c<+sxkA (vkos'k ?kuRo leku j[krs gq,A)
(B) E dk ifjek.k a esa o`f) ds lkFk ?kVsxkA (dqy vkos'k leku j[krs gq,A)
(C) ;fn vkos'k ?kuRo gS rFkk a = 1m, E dk ifjek.k0
7
44
n 2 ds cjkcj gksxkA
(D) ;fn vkos'k ?kuRo gS rFkk a = 2m E dk ifjek.k0
7
22
n 2 ds cjkcj gksxkA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-8
14. fdlh uewus esa t = 0 ij fdlh jsfM;ks lfØ; ukfHkd A dh {k; nj t = 60 feuV ij jsfM;ks lfØ; ukfHkd B dh{k; nj ds leku gSaA A o B ds {k; fu;rkad Øe'k% A rFkk B (A < B) gSA lgh fodYi@fodYiksa dk p;udhft;sA(A) jsfM;ksa lfØ; ukfHkd A dh v)Zvk;q B ls T;knk gSA(B) t = 60 feuV ij inkFkZ A ds uewus esa ijek.kqvksa dh la[;k B uewus ls T;knk gSA(C) nksuksa uewuksa dh {k; nj ,d lkFk dHkh Hkh leku ugh gksxhA(D) dqN le; i'pkr~ fdlh {k.k ij nksuksa uewuksa dh {k; nj ,d lkFk leku gksxhA
15. ,d d`f".kdk oLrq dk rkiØe T = 300 K ij mRltZu {kerk 100 okV@eh-2 gSA ,d vU; oLrq B ftldk
{ks=kQy A = 10 m2, ijkorZu xq.kkad r = 0.3 rFkk ikjxeu xq.kkad t = 0.5 gSA bldk rkiØe 300 K gSA rc
fuEu esa dkSulk@dkSuls lR; gS &
(A) B dh mRltZu {kerk 20 okV@eh-2 gSaA (B) B dh mRltZu {kerk 200 okV@eh-2 gSaA
(C) B }kjk mRlftZr 'kfä 200 okV gSA (D) B dh mRltZdrk 0.2 gSA
16. ,d vkn'kZ ,dijek.kqd xSl izØe TV1/2 = fu;r ds vuqlkj izlkfjr gksrh gS] tgk¡ T o V xSl ds rki o vk;ru
gSA lgh fodYi@fodYiksa dk p;u dhft,A
(A) eksyj Å"ek /kkfjrk C = CV – 2R gSA (B) xSl dh vkUrfjd ÅtkZ ?kVsxhA
(C) xSl dk rki ?kVsxkA (D) xSl dk nkc c<sxkA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
Website : www.resonance.ac.in | E-mail : [email protected]®
Toll Free : 1800 200 2244 | 1800 258 5555 |CIN:U80302RJ2007PLC024029P1JRJPT2ADV140517C0-9
17. ,d dkj igkM+h dh vksj vc pky ls xfr djrh gSA ;g f vkof̀r dk ,d gkWuZ ctkrh gS tks v0 pky ls dkj dkihNk dj jgs ,d Jksrk }kjk lquk tkrk gSA gok esa /ofu dh pky v gSA(A) igkM+h ij igqapus okyh /ofu dh rjaxnS/;Z v
fgSA
(B) igkM+h ij igq¡pus okyh /ofu dh rjaxnS/;Z cv v
f
gSA
(C) izs{kd ij lh/ks gkuZ ls igq¡pus okyh /ofu dh rjaxnS/;Z cv v
f
gSA
(D) Jksrk }kjk lquh x;h foLian vkof̀r c o2 2
c
2v v v f
v v
gSA
18. izdk'k fo|qr izHkko ds iz;ksx esa rhu /kkrqvksa ftudh nSgyh rjaxnS/;Z1th ,
2th rFkk3th gS] ds fy, 1/ rFkk
fujks/kh foHko V ds e/; xzkQ fp=kkuqlkj cuk;k x;k gSA ;gk¡ vkifrr izdk'k dh rjaxnS/;Z gSA fuEu esa lsdkSulk@dkSuls fodYi lgh gS ?
1 2 3
/kkrq 3 /kkrq 2 /kkrq 1V
1/(1/nm)
(A) dk;ZQyuksa dk vuqikr 1 2 3: : 3 : 2 :1 gSA(B) dk;ZQyuksa dk vuqikr 1 2 3: : 2 : 3 : 6 gSA
(C) tan ,e
hc ds lh/ks lekuqikrh gS, tgk¡ h Iykad fu;rkad gS rFkk c izdk'k dh pky gSA
(D) tan ,e
hc ds O;qrØekuqikrh gS, tgk¡ h Iykad fu;rkad gS rFkk c izdk'k dh pky gSA
dPps dk;Z ds fy, LFkku
HkkSfrd foKku
HkkSfrd
foKku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)- 324005
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19. gkbMªkstu ijek.kq dk bysDVªkWu n1 n
2esa ladzfer gksrk gSA ;gk¡ n
1o n
2nks d{kkvksa ds eq[; DokUVe la[;k,
gSA ckWgj ds ijek.kfod eksMy dk mi;ksx djrs gq,] bysDVªkWu dk izkjfEHkd d{kk esa vkorZdky vafre d{kk esavkorZdky dk vkB xquk izkIr gksrk gSA n
1o n
2ds laHko eku gS %
(A) n1 = 2 o n
2 = 1 (B) n
1 = 8 o n
2 = 2
(C) n1 = 8 o n
2 = 1 (D) n
1 = 6 o n
2 = 3
20. mÙky niZ.k ds fy, lgh oØks dk p;u dhft, :
u = oLrq dh fLFkfrv = izfrfcEc dh fLFkfrm = vuqizLFk vko/kZu
(A)1
u
1
v
(B)
1
u
1
v
(C)
u
m
f (D)u
m
f
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
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Hkkx % II jlk;u foKku
Atomic masses : [H = 1, D = 2, Li = 7, C = 12, N = 14, O = 16, F = 19, Na = 23, Mg = 24, Al = 27, Si = 28,
P = 31, S = 32, Cl = 35.5, K = 39, Ca = 40, Cr = 52, Mn = 55, Fe = 56, Cu = 63.5, Zn = 65, As = 75,
Br = 80, Ag = 108, I = 127, Ba = 137, Hg = 200, Pb = 207]
[kaM 1 : (vf/kdre vad : 80)
bl [kaM esa chl iz'u gSaA izR;sd iz'u esa pkj fodYi (A), (B), (C) rFkk (D) gSaA bu pkj fodYiksa esa ls ,d ;k ,d ls vf/kd fodYi lgh gSaA izR;sd iz'u esa] lHkh lgh fodYi ¼fodYiksa½ ds vuq:i cqycqys ¼cqycqykas½ dks vks- vkj- ,l- esa dkyk djsaA izR;sd iz'u ds fy, vad fuUufyf[kr ifjfLFkfr;ksa esa ls fdlh ,d ds vuqlkj fn;s tk;saxs % iw.kZ vad : +4 ;fn flQZ lgh fodYi ¼fodYiksa½ ds vuq:i cqycqys ¼cqycqyksa½ dks dkyk fd;k gSA
vkaf'kd vad : +1 çR;sd lgh fodYi ds vuq:i cqycqys dks dkyk djus ij] ;fn dksbZ xyr fodYi dkykugha fd;k gSA
'kwU; vad : 0 ;fn fdlh Hkh cqycqys dks dkyk ugha fd;k gSA_.k vad : –2 vU; lHkh ifjfLFkfr;ksa esa
mnkgj.k % ;fn ,d ç'u ds lkjs lgh mÙkj fodYi (A), (C) rFkk (D) gSa] rc bu rhuksa ds vuq:i cqycqyksa dksdkys djus ij +4 vad feysaxs flQZ (A) vkSj (D) ds vuq:i cqycqyksa dks dkys djus ij +2 vad feysaxs rFkk(A) vkSj (B) ds vuq:i cqycqyksa dks dkys djus ij –2 vad feysaxs D;ksafd ,d xyr fodYi ds vuq:i cqycqysdks Hkh dkyk fd;k x;k gSA
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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21. ;fn3
T
Z 1 a 2a ab 2b P .......
P RT RT RT(RT)
rc dkSulk fuEu nkc ij lgh gS@gSa \
(A) ;fn ab
RT , vkdkj izHkko xSlksa ds O;ogkj ij izHkkoh gksrk gSA
(B) ;fn ab
RT , vkd"kZ.k cy xSlksa ds O;ogkj ij izHkkoh gksrk gSA
(C) ;fn ab
RT , Z vs P dk <+ky 'kwU; gksxkA
(D) buesa ls dksbZ ughaA
22. fuEu esa ls dkSu lkE; ifjfLFkfr iznf'kZr djrs gSa\
(A) 0ºC rFkk 1 atm ij 10 g cQZ rFkk 5 g H2O ()
(B) 0ºC rFkk 1 atm ij 5 g cQZ rFkk 5 g H2O ()
(C) 100ºC rFkk 1 atm ij 10 g H2O () rFkk 5 g H2O (v)
(D) 100ºC rFkk 1 atm ij 5 g H2O () rFkk 5 g H2O (v)
23. yo.k AB _.kk;fud ty vi?kVu nsrk gS rFkk bldk 0.1 M foy;u 5 pOH j[krk gS] rc lgh dFku
igpkfu;s&
(A) Kh , B– ds Kb ds cjkcj gksrk gSA (B) HB dk pKa 5 gSA
(C) h 0.01% gSA (D) 0.1 M HB dh pH 3 gSA
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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24. dksysesukbV 2 3Na CO x HCl yyqbZl vEy
z Mg/ W,d rRo
xyr dFku pqfu;sA(A) dksysesukbV esa cksjksu dh vkWDlhdj.k la[;k +3 gSA(B) z dks tc Co ds lkFk xeZ djrs gS] rks ;g vkWDlhdkjh Tokyk esa uhyk jax rFkk vipk;ddkjh Tokyk esa
yky jax nsrk gSA(C) w ds lHkh ;kSfxd izk;% vk;fud gksrs gSA(D) Msdkty;ksftr x 4 O–H ca/k j[krk gSA
25. SO2Cl2 ds lUnHkZ esa dkSulk@dkSuls dFku lgh gS@gSa\(A) OSO > OSCl > ClSCl ca/k dks.k(B) p– p ca/kksa dh la[;k < p–d ca/kksa dh la[;k(C) blds 1 eksy 0.1 eksy P4 ds lkFk fØ;k djrs gSA(D) bldk tyh; foy;u fQukW¶Fksyhu ds lkFk xqykch jax ugha nsrk gSA
26. fuEu esa ls fdlesa] FCC esa ,dkUrfjr prq"Qydh; fjfDr;k¡ xzg.k ugha (not occupied) gksrh gS \(A) NaCl (B) ZnS (C) CaF2 (D) Na2O
27. fuEu esa ls dkSulk@dkSuls dFku lgh gS@gSa\(A) ,d dksykWbMy foy;u] ,d fo"kekaxh nks izkoLFkk ra=k gSA(B) ty esa flYoj lksy] nzoLusgh lksy dk ,d mnkgj.k gSA(C) ty esa /kkrq gkbMªkWDlkbM lksy dk foy;u] nzo fojks/kh lksy dk ,d mnkgj.k gSA(D) nzo&nzo dksykWbMy foy;u lkekU;r% ,d vf/kd LFkk;h ra=k ugha gSA
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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28. lsy vfHkfØ;k ds fy,2 2
4Zn (aq) 4OH (aq) Zn(OH) (aq)
fn;k gS : 2Zn (aq) 2e Zn(s); oE 0.76V
24Zn(OH) (aq) 2e Zn(s) 4OH (aq); oE 1.36V
RT2.303 0.06
F V
(A) lkE; fu;rkad f(K ) dk eku 1010 gSA (B) lkE; fu;rkad f(K ) dk eku 1020 gSA
(C) oElSy 0.6 V gSA (D) oElSy 2.12 V gSA
29. lgh fodYi@fodYiksa dk p;u dhft, &
(A) Hg[Co(SCN)4] esa dksckYV dk dsoy pØ.k pqEcdh; vk?kw.kZ 15 BM gSA
(B) Hg[Co(SCN)4] esa dksckYV dk dsoy pØ.k pqEcdh; vk?kw.kZ 24 BM gSA
(C) Ni(CO)4 o [Co(CO)4]– nksuksa prq"Qydh; o izfrpqEcdh; gSA
(D) [Co(H2O)6]3+ o [Cr(H2O)6]
3+ nksuksa vuqpqEcdh; gS o /kkrq d2sp3 ladfjr gSA
30. fuEu /kkrq /kuk;u mHk;/kehZ vkWDlkbM nsrs gSa &
(A) Al3+ (B) Cr3+
(C) Fe3+ (D) Zn2+
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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31. nh x;h vfHkfØ;kvks dk voyksdu dhft, rFkk lgh fodYi@fodYiksa dk p;u dhft, &
1. Zn + lkUnz HNO3
2. Zn + ruq HNO3
3. Cu + lkUnz HNO3
4. Cu + ruq HNO3
(A) 1st vfHkfØ;k esa HNO3 dk n-xq.kkad 1 gSA (B) 2nd vfHkfØ;k esa HNO3 dk n-xq.kkad 4 gSA(C) 3rd vfHkfØ;k esa HNO3 dk n-xq.kkad 3 gSA (D) 4th vfHkfØ;k esa HNO3 dk n-xq.kkad 2 gSA
32. gkbiks es lYQj ijek.kq fuEu O;fDrxr ¼individual½ vkWDlhdj.k la[;k n'kkZrk@n'kkZrs gS@gSa&(A) –2 (B) +6 (C) +2 (D) +5
33. fuEu esa ls dkSulh vfHkfØ;kvksa esa vfUre mRikn ds :Ik esa csUtsfYMgkbM cusxk \
(A)
CN
2
3
SnCl HCl
H O (B)
CH3
2 2 2
3
CrO Cl / CS
H O
(C)3
CO HCl
AlCl / CuCl
futZy (D)
OH
+ CCl4KOH/
H
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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dPps dk;Z ds fy, LFkku
34. fuEu vfHkfØ;k dk izs{k.k dhft, &CH=CH2
HBrX
Mg/'kq"d bZFkjY Z
(1) HCHO
(2) H2O
H2SO4/
W (eq[; mRikn)
(2) H2O
H3O
U
lgh fodYi@fodYiksa dk p;u dhft, &(A) mRikn U yqdkl vfHkdeZd ds lkFk /kukRed ijh{k.k nsrk gSA(B) vfrla;qXeu ;ksX; gkbMªkstu dh la[;k mRikn W esa rhu gSA(C) mRikn Z 3º ,YdksgkWy gSA(D) mRikn X T;kfefr; leko;ork n'kkZrk gSA
35. fuEu vfHkfØ;k dk izs{k.k dhft, &
(i) X 2 4 H SO
lkUn-z (ii) Y
3
3
1 CH MgBr
2 H O
OH
(iii) Z 2 2Br / H OBr OH
(iv) W NBS
Br
lgh fodYi@fodYiksa dk p;u dhft, &(A) vfHkfØ;k (i) esa, mRikn foyksiu vfHkfØ;k }kjk curk gSA(B) Y lkbDyksgsDlsukWu gSA(C) vfHkfØ;k (iii) esa, mRikn bysDVªkWuLusgh ;ksxkRed vfHkfØ;k }kjk curk gSA(D) W lkbDyksgsDlhu gSA
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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36. fuEu vfHkfØ;k dk voyksdu dj lgh fodYiksa dk p;u dhft,&
CH3CHO + HCHO NaOHlkUn z tyh; + HCOONa
(A) vfHkfØ;k rhu ckj ,YMksy la?kuu n'kkZrh gSA
(B) vfHkfØ;k ,d ckj dSfutkjks vfHkfØ;k n'kkZrh gSA
(C) nh xbZ vfHkfØ;k esa QkesZfYMgkbM ds pkj rqY;kad iz;qDr gksrs gSaA
(D) nh xbZ vfHkfØ;k esa ,d rqY;kad CH3CHO iz;qDr gksrk gSA
37. fuEu vfHkfØ;kvksa ds dkSuls vuqØe ckbZQsfuy dk la'ys"k.k djsxs \
(A) C6H62Br / Fe Na/bZFkj
(B) C6H6 423 SOHHNO
2
Sn HCl
HNO
6 6C H
NaOH
(C) C6H6 32 AlCl/Cl
3AlCl
H–Ph
(D) C6H63
3
AlCl
ClCH 2Cl /h
1 eq
3AlCl
H–Ph
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
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38. fuEu esa ls dkSulh vfHkfØ;kvksa esa eq[; mRikn lgh gSa \
(A) + CHBr3 + CO2
(B)
(C) 2HNO
(D)
Br
2
2
1. Mg/Et O
2.O
3.H
OH
jlk;u
foKku
jlk;u foKku
dPps dk;Z ds fy, LFkku
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
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39. fuEu esa ls dkSuls ,d nwljs ds izfrfcEc:ih gSa \
(1)
OH
CHOHO
OH OH
(2)
OH
CHOHO
OH OH
(3)H
CH=OOH
CH2–OH
OH
OHHH
(4)H
CH=OOH
CH2–OH
H
OHHO
H
(A) 1 rFkk 2 (B) 1 rFkk 3 (C) 2 rFkk 3 (D) 2 rFkk 4
40. "VªkbZukbVªksesFksu fifØd vEy dh rjg vf/kd vEyh; gksrk gSA"
fuEu esa ls dkSulk@dkSuls dFku mijksDr rF; ds fy, lgh gS@gSa\
(A) nksuksa dk la;qXeh {kkj vf/kd LFkk;h gksrk gSA
(B) nksuksa la;qXeh {kkj ds _.kkRed vkos'k rhu ukbVªks lewgksa ij foLFkkuhÑr gksrs gSaA
(C) nksuksa vEyksa esa dqy 6 vkWDlhtu ijek.kqvksa ij _.kkRed vkos'k gksrk gSA
(D) fifØd vEy esa ukbVªks lewg dk _.kkRed izsjf.kd izHkko csUthu oy; ds la;qXeh izHkko ds dkj.k
VªkbZukbVªksesFksu ds ukbVªks lewg ds _.kkRed izsjf.kd izHkko dh vis{kk vf/kd 'kfDr'kkyh gksrk gSA
dPps dk;Z ds fy, LFkku
xf.kr
xf.kr
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Hkkx % III xf.kr
[kaM 1 : (vf/kdre vad : 80) bl [kaM esa chl iz'u gSaA izR;sd iz'u esa pkj fodYi (A), (B), (C) rFkk (D) gSaA bu pkj fodYiksa esa ls ,d ;k ,d ls vf/kd fodYi lgh gSaA izR;sd iz'u esa] lHkh lgh fodYi ¼fodYiksa½ ds vuq:i cqycqys ¼cqycqykas½ dks vks- vkj- ,l- esa dkyk djsaA izR;sd iz'u ds fy, vad fuUufyf[kr ifjfLFkfr;ksa esa ls fdlh ,d ds vuqlkj fn;s tk;saxs % iw.kZ vad : +4 ;fn flQZ lgh fodYi ¼fodYiksa½ ds vuq:i cqycqys ¼cqycqyksa½ dks dkyk fd;k gSA
vkaf'kd vad : +1 çR;sd lgh fodYi ds vuq:i cqycqys dks dkyk djus ij] ;fn dksbZ xyr fodYi dkykugha fd;k gSA
'kwU; vad : 0 ;fn fdlh Hkh cqycqys dks dkyk ugha fd;k gSA_.k vad : –2 vU; lHkh ifjfLFkfr;ksa esa
mnkgj.k % ;fn ,d ç'u ds lkjs lgh mÙkj fodYi (A), (C) rFkk (D) gSa] rc bu rhuksa ds vuq:i cqycqyksa dksdkys djus ij +4 vad feysaxs flQZ (A) vkSj (D) ds vuq:i cqycqyksa dks dkys djus ij +2 vad feysaxs rFkk(A) vkSj (B) ds vuq:i cqycqyksa dks dkys djus ij –2 vad feysaxs D;ksafd ,d xyr fodYi ds vuq:i cqycqysdks Hkh dkyk fd;k x;k gSA
41. ;fn a vkSj b
v'kwU; vkSj vlajs[kh; lfn'k gS rc -
(A) ˆ ˆ ˆ ˆ ˆ ˆa b [abi] i [abj] j [abk]k
(B) ˆ ˆ ˆ ˆ ˆ ˆa.b a.i b.i a.j b.j a.k b.k
(C) ;fn ˆ ˆˆ ˆu a (a.b)b vkSj ˆˆv a b
, rc v u
(D) ;fn c a a b
rc c.a
= 0
42. f=kiysV (x, y, z) ds Øep;ksa dh la[;k gksxh tcfd z max {x, y} vkSj x, y, z {1, 2, …, n} gS -
(A) n 1 n 23 3C C (B)
1
6n(n + 1)(2n + 1)
(C)12 + 22 + ………+ n2 (D) 2 n 23C – n+1C2
dPps dk;Z ds fy, LFkku
xf.kr
xf.kr
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43. iw.kk±d Hkqtkvksa ds lef}ckgq f=kHkqtksa dh la[;k gksxh ;fn dksbZ Hkh Hkqtk 2016 ls cMh ugha gS&(A) 2(1008) ;fn leku Hkqtk,a 1008 ls cMh ugha gSA(B) 2 2(1008) ;fn leku Hkqtk,a 1008 ls cMh gksA(C) 3 2(1008) ;fn leku Hkqtkvksa esa ls fdlh dh Hkh yEckbZ 2016 ls cMh ugha gksA(D) 2(2016) ;fn leku Hkqtkvksa esa ls fdlh dh Hkh yEckbZ 2016 ls cMh ugha gksA
44. ;fn E1 rFkk E2 nks ?kVuk,¡ bl izdkj gS fd P(E1) =1
4, P 2
1
E
E
=1
2 vkSj P = 1
2
E 1
E 4
(A) rc E1 rFkk E2 Loar=k gSA(B) E1 vkSj E2 fu''ks"kh% gSA(C) E2, E1 ds ?kfVr gksus dh nqxquh izkf;drk ij gSA(D) ?kVukvksa E1 E2, E1 vkSj E2 dh izkf;drk,¡ xq.kksÙkj Js.kh esa gSA
45.2 2 2 2
2 2 2n
n 3 9 3 18 3 27 3 9lim .........
3 n n n n nn n n
fdlls de ;k cjkcj gS -
(A) 62 (B) 63 (C) 14 (D) 21
46. ;fn ?kuh; lehdj.k x3 + ax2 + bx + c = 0 ds ewy] rhu Øekxr /kukRed iw.kkZad gS rc fuEu esa lsdkSulk@dkSuls vlR; gS -
(A)2a
3b 1
(B)2a
1b 1
(C)2
b 13
a
(D)
2
2
c1
a
dPps dk;Z ds fy, LFkku
xf.kr
xf.kr
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47. 1
4n 1
4ntan
n 5
(A)4
+ tan–1 2 (B)
4
3–tan–1 2 (C) tan–13 (D)
4
+ cot–12
48. ;fn A5 ,d 'kwU; oxZ eSfVªDl gS] ,oa ( – A) eSfVªDl + A + A2 + ......... + An dh izfrykse eSfVªDl gS] rks n dk
lHkao eku gS& (I bdkbZ vkO;wg gS ftldk Øe A ds Øe ds leku gSA)
(A) 8 (B) 2 (C) 6 (D) 4
49. ;fn x =2 2 2 2 2 2 2 21 2 3 1001 1 2 3 1001
......... ,y ....... ,1 3 5 2001 3 5 7 2003 gks rc [x – y] fdlls cMk vkSj
cjkcj gS& (tgk¡ [.] egÙke iw.kkZd Qyu dks O;Dr djrk gS)(A) 500 (B) 450 (C) 510 (D) 555
50. ekuk dksbZ Qyu f : R R bl izdkj gS fd lHkh x, y R ds fy;s
2|f(x) – f(y)| | x – y| rFkk 1f '(x)
2 rc y = f(x) ds vkjs[k ,oa -
(A) js[kk y = x ds izfrPNsnu fcUnqvksa dh la[;k 1 gksxhA
(B) oØ y = – x3 ds izfrPNsnu fcUnqvksa dh la[;k 1 gksxhA
(C) oØ 2y = |x| ds izfrPNsnu fcUnqvksa dh la[;k 3 gksxhA
(D) oØ y2 = – x ds izfrPNsnu fcUnqvksa dh la[;k ,d ls vf/kd gksxhA
dPps dk;Z ds fy, LFkku
xf.kr
xf.kr
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected]
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51. Qyu f(x) =2x – 1x – 2 (x 2) bl izdkj gS fd -
(A) ;g Lo;a dk izfrykse gSA (B) vUrjky (–, 2) ,oa (2, ) esa ákleku gSA
(C) bldk vkjs[k x–v{k ls iw.kZr% Åij gSA (D)1x
x 0lim f(e )
= 2.
52. ;fn r1 vkSj r2 nh?kZo`Ùk 5x2 + 5y2 + 6xy – 8 = 0 ds fcUnqvksa dh nqfj;ka gS tks fd ewy fcUnq ls vf/kdre o
U;wure nqjh ij gS rc(A) r1 + r2 = 3 (B) |r1 – r2 | = 1 (C) |r1 – 2r2 | = 0 (D) r1 + 2r2 = 4
53.2
dx
ax bx c = 11
x Ak tan C
B
;fn -
(A) a > 0, b2 – 4ac > 0 (B) a < 0, b2 – 4ac > 0
(C) a > 0, b2 – 4ac < 0 (D) a < 0, b2 – 4ac < 0
54. ,d lery] vk;rkdkj fizTe dks ftldh Qydksa dh lehdj.k x + y = 0, x – y = 0 vkSj x = 1 esa gS bl rjg
dkVrk gS fd leckgq f=kHkqtdkj [k.M cukrk gS] lery ds fn~d vuqikr gks ldrs gS&
(A) (1, 2 , 0) (B) ( 2 , 0, 1) (C) (– 2 , 0, 1) (D) (–1, 0, 2 )
55. ekukfd o`Ùk x2 + y2 = 1 rFkk ijoy; y = ax2 – b (a > 0) ijLij izfrPNsn djrs gS -
(A) pkj fHkUu-fHkUu fcUnqvksa ;fn a > b > 1 (B) fdlh Hkh fcUnq ij ugh ;fn b < –1
(C) nks fHkUu-fHkUu fcUnqvksa ij ;fn –1 < b < 1 (D) ,d fcUnq ij ;fn b = 1
dPps dk;Z ds fy, LFkku
xf.kr
xf.kr
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected]
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029P1JRJPT2ADV140517C0-24
56. ;fn 1 2 3 41 2 3 41 2 4 3 9 4 16
2
tgk¡ 1 2 3 4, , , lHkh okLrfod gS
rc-
(A) 1 2 10 (B) 2 3 26
(C) 4 3 12 (D) 4 2 1 22
57. fuEu esa ls dkSulk lR; gS&
(A) sin 821o
2 cos 371o
2 vkSj sin 1271o
2 sin 971o
2 dk eku leku gSA
(B) xq.ku sin 2 sin 3 sin 5 dk fpUg _.kkRed gSA
(C) lHkh , vkSj ds fy, tan( – ) + tan( – ) + tan( – ) = tan( – )tan( – ) tan( – )
(D) 0 vkSj 2 ds e/; ds lHkh ekuksa ds fy, lehdj.k sin4 – sin2 – 1 = 0 larq"V gksrh gSA
58. ekuk f : RR, f(x) =
| x x |, x
| x x 1 |, x
fo"ke gSAle gSA , tgk¡ [.] egÙke iw.kkZad Qyu gS rc
(A)4
2
f(x)dx = 1 (B)4
2
f(x)dx = 3 (C)
10
10
f(x)dx = 10 (D)
1
1
f(x)dx = 0
dPps dk;Z ds fy, LFkku
xf.kr
xf.kr
Corporate Office : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.)-324005
Website : www.resonance.ac.in | E-mail : [email protected]
Toll Free : 1800 200 2244 | 1800 258 5555 | CIN: U80302RJ2007PLC024029P1JRJPT2ADV140517C0-25
59. ekuk2
2
2
1 x x x
x 1 x x
x x 1 x
=
1
6(x – 1)(x – 2)(x – 3)(x – 4), x esa ,d loZlfedk gS tgk¡ 1, 2, 3, 4
lHkh x ls Lora=k gSA rc 1234 dk eku gS&
(A) 2 (B) 4 (C) 6 (D) 8
60. ;fn o`Ùk 0k5y2x4yx 22 dh ,d thok fcUnqvksa
3
1,
3
1 vkSj
3
8,
3
8 ij lef=kHkkftr gksrh gS] rc
fuEu esa ls dkSulk@dkSuls dFku lR; gS&
(A) thok dk e/; fcUnq
2
3,
2
3 gSA (B) thok dh yEckbZ 27 gSA
(C) o`Ùk dh f=kT;k 50 gSA (D) k dk eku 9 gSA
Ñi;k bu funsZ'kksa dks /;ku ls i<+saA vkidks 5 feuV fo'ks"k :i ls bl dke ds fy, fn;s x;s gSaAlkekU; %1. ;g eksgjcU/k iqfLrdk vkidk iz'ui=k gSA bldh eqgj rc rd u rksMsa tc rd bldk funsZ'k u fn;k tk;sA2. iz'u&i=k dk dksM (CODE) bl i`"B ds Åijh nk;sa dksuas ij Nik gSA3. iz'uksa dk mÙkj nsus ds fy, vyx ls nh x;h vkWIVhdy fjLikal 'khV ¼vks- vkj- ,l-½ (ORS) dk mi;ksx djsaA4. dPps dk;Z ds fy, bl iqfLrdk esa [kkyh LFkku fn;s x;s gSaA5. bl i`"B ij uhps fn, x, LFkku esa viuk uke rFkk jksy uEcj fyf[k,A6. bl iqfLrdk dks [kksyus ds i'pkr~] d`i;k tk¡p ysa fd lHkh 60 iz'u vkSj muds mÙkj fodYi Bhd ls i<sa tk ldrs gSaA
iz'ui=k dk izk:i vkSj vadu ;kstuk %7. bl iz'u&i=k esa rhu Hkkx gSa% HkkSfrd foKku] jlk;u foKku vkSj xf.krA gj Hkkx esa ,d [kaM gSA8. çR;sd [kaM dk fooj.k fuEufyf[kr rkfydk esa fn;k x;k gS %
iw.kZ vad vkaf'kd vad 'kwU; vad _.k vad
1,dy ;k ,d ls vf/kd lgh
fodYi 20
+4;fn flQZ lgh
fodYi@fodYiksa ds vuq:icqycqys@cqycqyksa dks dkyk
fd;k gS
+1izR;sd lgh fodYi ds vuq:i cqycqysdks dkyk djus ij] ;fn dksbZ xyr
fodYi dkyk ugha fd;k gS
0;fn fdlh Hkhcqycqys dksdkyk ughafd;k gS
–2vU; lHkh
ifjfLFkfr;ksa esa80
[kaM iz'u dk izdkj iz'uksa dh la[;koxkZuqlkj izR;sd iz'u ds vad [kaM esa
vf/kdre vad
vkWfIVdy fjLikal 'khV %9. Åijh ewy i`"B ds vuq:i cqycqyksa (BUBBLES) dks i;kZIr ncko Mkydj dkyk djsaA10. ewy i`"B e'khu&tk¡P; gS rFkk ;g ijh{kk ds lekiu ij fujh{kd ds }kjk ,d=k dj fy;k tk;sxkA11. vks-vkj-,l- dks gsj&Qsj@fod`fr u djsaA12. viuk uke] jksy ua- vkSj ijh{kk dsanz dk uke ewy i`"B esa fn, x, [kkuksa esa dye ls Hkjsa vkSj vius gLRkk{kj djsaA buesa ls dksbZ Hkh tkudkjh
dgha vkSj u fy[ksaA jksy uEcj ds gj vad ds uhps vuq:i cqycqys dks dkyk djsaA
ORS ij cqycqyksa dks dkyk djus dh fof/k %13. Åijh ewy i`"B ds cqycqyksa dks dkys ckWy ikbUV dye ls dkyk djsaA14. cqycqys dks iw.kZ :i ls dkyk djsaA15. cqycqyksa dks rHkh dkyk djsa tc vkidk mÙkj fuf'pr gksA16. cqycqyksa dks dkyk djus dk mi;qDr rjhdk ;gk¡ n'kkZ;k x;k gS %17. dkys fd;s gq;s cqycqys dks feVkus dk dksbZ rjhdk ugha gSA18. gj [k.M ds izkjEHk esa nh x;h vadu ;kstuk esa dkys fd;s x;s rFkk dkys u fd;s x;s cqycqyksa dks ewY;kafdr djus dk rjhdk fn;k x;k gSA
Resonance Eduventures Ltd.CORPORATE OFFICE : CG Tower, A-46 & 52, IPIA, Near City Mall, Jhalawar Road, Kota (Raj.) - 324005
Ph.No. : +91-744-3012222, 6635555 | Toll Free : 1800 258 5555Reg. Office : J-2, Jawahar Nagar, Main Road, Kota (Raj.) 324005 | Ph. No.: +91-744-3192222 | FAX No. : +91-022-39167222
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ijh{kkFkhZ dk uke : ………………………………………………………………..………………………
jksy uEcj : ………………………..………………………
eSaus lHkh funsZ'kksa dk i<+ fy;k gS vkSj eSa mudk eSusa ijh{kkFkhZ dk ifjp;] uke vkSj jksy uEcjvo'; ikyu d:¡xk@d:¡xhA dks iwjh rjg tk¡p fy;k gSA
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -ijh{kkFkhZ ds gLrk{kj ijh{kd ds gLrk{kj
JJEEEE PPRREEPPAARRAATTOORRYY TTEESSTT--22 ((JJPPTT--22)) ((JJEEEE AADDVVAANNCCEEDD PPAATTTTEERRNN))PPAAPPEERR--11 || CCOOUURRSSEE :: AALLLL IINNDDIIAA TTEESSTT SSEERRIIEESS ((VVIIKKAALLPP)) || CCLLAASSSS :: XXIIII//XXIIIIII CCOODDEE -- 0P23-16