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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
ww.tappnrlnirojod.cak 9
JCSN Fair`
Cliss ] Kitmnkitjcs
Sikpln Ripnr – 9
Pjkn8 6» mrs Patil Kirgs8 =2
Dnonril Jostructjaos8
9. Ioswnrs ta tmjs pipnr kust fn wrjttno ao tmn pipnr pravj`n` snpiritnly.
6. Zau wjll OAP fn illawn` ta wrjtn `urjod tmn ejrst 9> kjoutns. Pmjs tjkn js ta fn spnot jo
rni`jod tmn qunstjao pipnr.
3. Pmn tjkn djvno it tmn mni` ae tmjs pipnr js tmn tjkn illawn` ear wrjtjod tmn ioswnrs.
0. Pmjs qunstjao pipnr js `jvj`n` jota twa Snctjaos. Ittnkpt ill qunstjaos erak Snctjao I
io` ioy eaur qunstjaos erak Snctjao F.
>. Jotno`n` kirgs ear qunstjaos ar pirts ae qunstjaos irn djvno jo fricgnts ilaod tmn
qunstjaos.5. Ill wargjod, joclu`jod raudm warg, kust fn clnirly smawo io` smaul` fn `aon ao tmn
sikn smnnt is tmn rnst ae tmn ioswnr. Akjssjao ae nssnotjil wargjod wjll rnsult jo lass ae
kirgs.
4. Kitmnkitjcil tiflns irn pravj`n`.
SNCPJAO – I (02 Kirgs)
(Ioswnrill qunstjaos erak tmjs Snctjao)
Y. 9.
(i) Pmn rnkijo`nr aftijon` fy `jvj`jod, 6gx - 3x + 5 fy (x – 6) js twjcn tmn rnkijo`nr
aftijon` fy `jvj`jod 63 > x x g fy (x + 3). Ejo` tmn vilun ae g. W3[
(f) Je9 2 2 9
, ,2 9 9 2
I F
smaw tmit IF FI. W3[
(c) Ao i cnrtijo suk ae kaony, tmn `jeenrnocn fntwnno tmn cakpauo` jotnrnst ear i
ynir, piyifln mile ynirly, io` tmn sjkpln jotnrnst ear i ynir js Vs. 95. Ejo` tmn suk
lnot aut, je tmn ritn ae jotnrnst jo fatm cisns js =%. W0[
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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
ww.tappnrlnirojod.cak 6
Y. 6.
(i) Erak i picg ae >6 pliyjod cir`s, tmn Hicg, Yunno io` Gjod ae clufs irn rnkavn`, io`
tmn picg js wnll smueeln`. Erak tmn rnkijojod cir`s, i cir` js `riwo. Ejo` tmn
prafifjljty ae dnttjod8
j. i cluf
jj. i rn` eicn cir` W3[
(f) Salvn tmn nquitjao83
6 > x
x
W3[
(c) Jo tmn djvno ejdurn, YV ; RY, RYV ; 46. RC io` YC irn tiodnots ta tmn cjrcln wjtm
cnotrn A. Cilculitn8
j. tmn iodln suftno`n` fy tmn cmar` RY it tmn cnotrn
jj. RCY W0[
Y. 3.(i) Kiou mis i > ynirs rncurrjod `npasjt iccauot io` `npasjts Vs. 602 pnr kaotm. Je mn
rncnjvns Vs. 94,5:0 it tmn tjkn ae kiturjty, ejo` tmn ritn ae jotnrnst. W3[
(f) Jt js prapasn` ta i`` ta i squirn liwo knisurjod >= k ao i sj`n, twa cjrculir no`s.
Pmn cnotrn ae nicm fnjod tmn pajot ae jotnrsnctjao ae tmn `jidaoil ae tmn squirn. Ejo`
tmn irni ae tmn wmaln liwo. W3[
(c) I (9, 0), F (3, 6) io` C (4, >) irn tmn vnrtjcns ae IFC.
Ejo`8
j. Pmn caar`joitns ae tmn cnotraj` D ae IFC.
jj. Pmn nquitjao ae i ljon, tmraudm D io` pirillnl ta IF. W0[
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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
ww.tappnrlnirojod.cak 3
Y. 0.
(i) Salvn tmn eallawjod jonquitjao io` dripm tmn salutjao ao tmn oukfnr ljon8
6 9 96 x 3 7x V.
3 3 3 W3[
(f) Tjtmaut usjod trjdaoakntrjc tifln, ejo` tmn vilun ae
6cas42 cas>:
=sjo 32sjo62 sjo39
W3[
(c) @riw i mjstadrik ae tmn eallawjod ernqunocy `jstrjfutjao io` usn jt ta cilculitn tmn
ka`n. W0[
C.J. 2-92 92-62 62-32 32-02 02->2 >2-52
Ernqunocy > 9> 92 > 96 =
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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
ww.tappnrlnirojod.cak 0
SNCPJAO – F (02 Kirgs)
(Ioswnr ioy eaur qunstjaos erak tmjs Snctjao)
Y. >.
(i) Sitwjgi purcmisns i `rnss ear Vs. 6,6:=.60 wmjcm joclu`ns twa succnssjvn `jscauots
ae 62% io` >% rnspnctjvnly ao tmn kirgn` prjcn io` tmno =% silns tix ao tmn
rnkijojod prjcn. Ejo` tmn kirgn` prjcn ae tmn ̀ rnss. W3[
(f) I stnnl wjrn, 3 kk jo `jikntnr, js wauo` ifaut i cyljo`nr wmasn lnodtm js 96 ck,
io` `jikntnr 92 ck, sa is ta cavnr tmn curvn` sureicn ae tmn cyljo`nr. Ejo` tmn kiss
ae tmn wjrn, issukjod tmn `nosjty ae stnnl ta fn =.== d pnr ck 3. W3[
(c) Ejo` tmn jkidn ae tmn pajot (∖=, 96) wjtm rnspnct ta tmn ljon kjrrar 0x + 4y + 93 ; 2.
W0[
Y. 5.(i) Pmn pajots (0, 9), (0, ∖9), (∖0, 9) io` (∖0, ∖9) irn tmn vnrtjcns ae i rnctiodln. Je tmn
rnctiodln js rnelnctn` jo tmn ljon x ; >, ejo` tmn caar`joitns ae tmn rnelnctn` rnctiodln.
Ilsa, ejo` tmn irni io` pnrjkntnr ae tmn rnelnctn` rnctiodln. W3[
(f) ^sjod tmn prapnrtjns ae prapartjao, salvn ear x, djvno0
6
x + 9 94;
6x = W3[
(c) I pidn ae Kr. Pulj‚s Sivjods Fiog iccauot pissfaag js is eallaws8
@IPN
622>
Rirtjculirs Tjtm`riwils
(jo Vs.)
@npasjts
(jo Vs.)
Filiocn
(jo Vs.)
Huon = Fy F/E -- -- =,265.6>
Huon 92 Fy cism -- 5>2.22 =,545.6>
Huly 6: Pa snle 6,>22.22 -- 5,945.6>
Oav = Fy cmnqun -- 3=>.22 5,>59.6>
@nc 63 Pa cism =62.6> -- >,409.22
Mn clasn` tmn iccauot ao @nc. 32, 622> io` rncnjvn` Vs. >,:02.=2.
Cilculitn tmn ritn ae jotnrnst. W0[
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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
ww.tappnrlnirojod.cak >
Y. 4.
(i) ^sjod tmn prapnrtjns ae prapartjao, salvn ear x8
i + x + i - x ; f W3[i + x - i - x
(f) Smaw tmit tmn kitrjx
6 3I ,
9 6
sitjsejns tmn nquitjao
3 6I - 0I + I ; 2 W3[
(c) Cilculitn tmn knio ae tmn eallawjod ernqunocy `jstrjfutjao fy tmn stnp-`nvjitjao
kntma`8 W0[
] 9> 62 6> 32 3> 02 0> >2 >>
E > = 99 62 63 9= 93 3 9
Y. =.
(i) Pmn tifln fnlaw smaws tmn `jstrjfutjao ae tmn scarns aftijon` fy 962 smaatnrs jo i
cakpntjtjao. ^sjod i dripm smnnt, `riw io Adjvn curvn ear tmn `jstrjfutjao.
^sn tmn Adjvn curvn ta nstjkitn tmn8
j. Kn`jio
jj. Jotnr-quirtjln riodn
jjj. Oukfnr ae smaatnrs wma aftijon` karn tmio 4>% scarns W5[
Scarns 2 – 92 92–62 62–32 32–02 02–>2 >2–52 52–42 42–=2 =2–:2 :2-922
Oa. ae
Smaatnrs
> : 95 66 65 9= 99 5 0 3
(f) Pmraudm tmn kj`pajot K, ae tmn sj`n C@ ae i pirillnladrik IFC@, tmn ljon FK js`riwo jotnrsnctjod IC jo L io` I@ pra`ucn` jo N. Rravn tmit NL ; 6FL W0[
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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
ww.tappnrlnirojod.cak 5
Y. :.
(i) I kio jovnsts Vs. 62,262 jo fuyjod smirns mivjod i oakjoil vilun ae Vs. 65 it 92%
prnkjuk. Pmn `jvj`no` ao tmn smirns js 9>% pnr ioouk. Cilculitn8
j. Pmn oukfnr ae smirns mn fuys.
jj. Pmn `jvj`no` mn rncnjvns ioouilly
jjj. Pmn ritn ae jotnrnst mn dnts ao mjs kaony. W3[
(f) @riw i pijr ae tiodnots ta i cjrcln ae ioy caovnojnot ri`jus, wmjcm irn jocljon` ta
tmn ljon hajojod tmn cnotrn ae tmn cjrcln io` jotnrsnct it i pajot earkjod io iodln ae
0>² wjtm tmn ljon. W3[
(c) Rravn tmn j`notjtytioI catI
+ ; sncI.casncI + 99 - catI 9 - tioI
W0[
Y. 92.
(i) Ejo` tmn oukfnrs sucm tmit tmnjr knio prapartjao js 90 io` tmjr` prapartjao js 996.
W3[
(f) Ejo` tmn ritn pnr cnot it wmjcm i suk ae kaony fncakns96>
50 ae jtsnle jo 3 ynirs.
W3[
(c) Jo tmn ejdurn, tmn iodln ae nlnvitjao ae tmn tap R ae i vnrtjcil tawnr erak i pajot ] js
52. It i pajot y, 02 k vnrtjcilly ifavn ] tmn iodln ae nlnvitjao js 0>. Ejo` tmn8
j. mnjdmt RY.
jj. `jstiocn ]Y. W0[
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JCSN ] | KIPMNKIPJCS
Sikpln Ripnr – 9
Y. 99.
(i) Jo tmn djvno ejdurn,
Pwa cjrclns taucm nicm atmnr nxtnroilly it pajot R. IF js tmn `jrnct cakkao tiodnot
ae tmnsn cjrclns. Rravn tmit8
j. kIRF ; :2
jj. Piodnot it pajot R fjsncts IF W3[
(f) I pnrsao ao taur mis Vs. 352 ear mjs nxpnosns. Je mn nxtno`s mjs taur ear 0 `iys, mn
mis ta cut `awo mjs `ijly nxpnosns fy Vs. 3. Pigjod tmn arjdjoil `uritjao ae taur is x,
eark io nquitjao jo x io` salvn jt. W3[
(c) Jo tmn `jidrik djvno fnlaw, nquitjao ae IF js x 3y 9 2 io` nquitjao ae IC js
x – y – 6 ; 2.
j. Trjtn `awo tmn iodlns tmit tmn ljons IC io` IF kign wjtm tmn pasjtjvn `jrnctjao
ae tmn x-ixjs.
jj. Ejo` kFIC. W0[
