:.1-. 1,r,. 48/osil*18 - ss coaching · pdf file9 if. the distance of a point r) outside a...
TRANSCRIPT
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qlq n'Ji 2 i*l trinchiilirl{ J{t (llicstions ill}d
(rrFlfr)
(211)
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tiililr't'il1 lttstruttiotts :
i r. ill|] i|'i'.l1lj llliiii rtl-ite his',iret. Rcrll Nrrirrtrer oI1 the flr.st page of the Question Paper
I l,jr::,s.- .ir: i. !.r ri-rr: {Jtigstiorr Paper tg l'erifV that the totai pages and total trttmber of qttestions
.,Jiri., irr,-..i :,, liri: i)rrcslii,r;i paper,,r* rlt* u3,tle aS those printecl On the ttlp o1'the tirSt piige
Airtrcit'-'tni'-i\'itlhliLlri:titlestlr-)tlStlrtrirrsetluential.)rder'J f-,.''r rirr:,-rltrc-.r',i .c i''ilr '.'f qLtestictls- \'otl have to choose anv otle of the filttr alternatil'es
i:iir:, ii.r fltc c1Lt,.:stiirir ic: (,\). (B;. iilt tt; (D) and indicate voul'coffect artsrvct.in ilrc:
ilr'!:r!i':ilr-lr,iili gi"':lt tr) \()tt re to be answ'ered r't'ithitr the allrlttcii.t \ii liitr r-litiiiiitrt. ir,ciuctittg obiective-typ:.!utttlol)s are
'o, l:^:ll:*-:,::"^'tl'i,r arr,i ,r., r,.,r0':.," tir'i lirliit is fixed tbl"answering obiective type-questlons'
{, \i.ri..irr.rr arr..: iilrriiificaiit'n titark in tite ansr'l'et-book or wl'iting ro11 number anv$'ltgre c'thet'
tir;"ri i11i. :[]c;litfci i;laccs il,'ill iead to r:lisclualificatign of the candidate'
6 \Vriii: .,.,ii; {..}Llr.ritr.ti }ralrc. criclc l'.ic-r. 4tt/()S/l-A on the ans*'er-book'
.l iil) f-i1fr ililg5j!11r ir,;Iilif ir in i',trglishit{indi ntedilun orrlv tl0'*ever. if Vott r'i'ish' votl cerl
;lits\lt' i,, o,,t {-}11c (}i'the latguages listecl belor'r' '
f r,r,:lirh. []iiirri [,rcir. prrniiirrl"nengati. Tamil, JVIalavalain, Kannada,'Teltrgu. \larat]ri'
{)i rva. (-rirl;:;,rir Konliirli' lr"lzirripluri Assarnese' lrep-'ali' Kashrniri' Sanskrrt and Sindhi
-\!,'ri itre lf.,.llliri,ii iit irrljicate the lartgrrage YOu have chOSetl to ans\\'er irt the box
the language iltlter lhan Hindi anci }-nirlisir" tlle
in undeistatidiug the questiotr n'ill be vours L')lll\r
jll { !\'iilcil ti, iiri: ;ilr:lrt't:l"i'lOui':
i;:; It'ii,r.l f iii''r;sr: lii i','iitt: lite ni:sltr'er in
i irltiil i litri i i r"' l't l I' ittll' ci'ro r's/'llti btakes
-ts,'(-ls,il-- .? I l_ ,\ l' l rllllllllllllillliilllllilll liilllll llllllllillillllllll llll llll I co.tir "'
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,! ;.i,-.rj-:rr-<. ,i{-ii 4 ,ii{.crit ..rir i{eiil{t (,'\), (B), (C) f,en (D) q t.hti \rfi gdt wqT t HQn a Timer; '':l'/ 'i',':;:t''lt,, tl -t:-r (.iil :i{f. ,ftfb{
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:ii 1i.,. . -;,,r1 :i .j $q;-i -t:,i ie,ll :in{lt , NOte
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- r''rt ,.r,,:'i:i ,1trir t€{t rrrnt C ? iitF{ ,fr, qR sTrc qrt FT tifs *.ri ftrfr \rqq q-,ql F -:-==
i !1.hr1 fr
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MATHEIVIAT'ICS
(.rFK)
(211)
Time :
{{ii :
Note :
3 F{oursl
3 qutl
[Maximurn Nlarlts t0i]
t1:1f* too
(1) Question Numbers (l-14) are i\{ultiple choice Questions Each clttt:sllr}n calilts
onemark.Foreachquestion,fouralternativechoicesA.R.CDarcsl\,Jll
of w,hich only one is correct. You have to select the correct altt'rtilttire itirtl
irldicateitintheanswer-bookbywriting(A).(B),(()tir{[J)ltstllr.'titScnrar be
(2) Question Numbers (1's-24) carry
(3) Question Numbers (25-33) carry
(4) Question Numbers (34-36) carry
(5) Ail questions are compulsory'
2 marks each
5 marks each
7 marks each
fctn : (1) srq q.sr (1-14)
t q-d-6 sQq g.F
R rt *, fi-{q
a-o qgffi qtq
si6q.rt lrr&6
t Atq-d qn {& t
(Multiple Clroice Qttestir''tt:t ? i :;11l
qtq * qtt +o.fiq-fi ts-i{ ,\- ii ( ll}
l c{rqq'r q-& fq-{-dq g-fiT ? -:Tlr t '' r
(2) qtq (15-24) fr
(3) qlq {iTqr (2s-33) q
(4) qaq {@r (34-36)
(s) q,fi qtq 3'fir*r{ t
o*ro511;--211_A I
+tl
t{@fl
7a
7a
=a
(B), (c) 3{PrsT (D) d fi sfl d, o& s+r gkffir q filrqqt u'n I
tr&*, 2 eiznl qi
T&6 5 siol 0t
q q n-&* Z ,iiol tnr
I
3 llllllllllllllllllllllllllllllllllllllllllllllllilllllllllllillll I co'td"'
I fhe surn of ralional nunrbers + ancl f is :
.rfi.i?T riw13i .l u* : 6T qlTnd t :
lq(A) -T G) _11, \-/ 7
Itl{(i } (D) }
JJ;-t/j I - , I' l.s crlual tcr
tiaa
8- )< 2" q{r*qT t :
(A) 8
(c) 2
(B) 16
(D) 4
3 t20 is what percent of 2,10 ?
Itza. 240 * ftFifi q{,frrid * qrrq_r ?; ?
rA) I'2 (B)z(c) 50 (D) 2ao
- -ll,lt;:::,til",
.r i articles is eilual to the sering price of- 2 artrcres r, . r g
qfa : q*sri EFT mrr{ru 2 qqc* s fr-mq Tq 6 e-.{r d, dt FrT shs.., :--.(A) 2a (B) 30
!(c) 33 -._)
J8i0s/t_2ll--A I
(D) .50
4
(
j
E
(.
(t
li,liiillllllllllillllllilljillillli l illll ll Ill { (,,,,,ti... rs,os
qf* ,Q6rfi q.r+i"T BTq a qt qn-*luT qrrqt at, di r,{q' R' ,r*€ dt qq afr
(B) 50o
(D) 7sa
76 ll' ccs .-l = ;, then the value of sin,4 is :
qR cos I = j, ui, ET sin I ?6r qTE *rlr :
18(B) zs
1 a4jz+(C) ; (D) ;'J l)
- l-he suln of trvo numbers is I ei and their di{ference is 6. The differcnce of their I
squares is
-{T {Elr.iT zFT iTr{r 16 dqt r-{fif -fmr 6 tt Bq* ofr tnr 'rqr ol-rn :
( A") t60 (B) t20
ic) q6 (D) 60
I I Angles of a quadriiateral are in the ratio I :2 :3 : 4. The smallest anqle I
of the quadrilateral has mea*qure :
5 If' t\vo lcute angles of a right triangle are equal, then the nleasure iti'' each cf I
tliese anqies is :
(A) 45c
(c) 600
qlqf.:
(z\) 45o
((.) i00
18/0Si r--2r1_A1
Jt-\l
a
(B) 360
(D) 180
s lilillllililllllllllllilllilllllllillliliilllllllilllllilllilili I cortttr...
9 If. the distance of a point r) outside a circle from the centre of the circle is I r 2 |
lTcmanclthelerrgthofatangent(segment)fronrPtotlrecircleis15ctlt.then the diameter of the circle is 'r
(A) 4cm (B) 8cm
(Cl) 12 cm (D) 16 cm
(B) 8 tlil
(D) i6 (fi
qk ftFS gt ft errr ft{rn q6 ft€ P dr Tn 6 o_q t $ 17 ftfi' a ='r
/' s Td * sri tsrcds m cqd ts tfi a' Tf, ol qrs et.rt :
(A) 1tfr
(c; 12 tfr
4Slosli--211_A I
r0 A reuular pentagon is inscribed in a circle The measure of angle' .''''t t't it' 1
silbtended at the centre by each side of the pentagon is '
rien €{ rrqT.n ffi ga * €i-<.I-d eql t I 'iqTq *1 q-&fi 5qr ai-fl i7 -. -i{
lq 6T"r et erq *fr :
i,\r sOc (B) 65'
(t ; 12n (D) I08o 13
I I If one anste o{' a triangle is 120o, then tlie angle (< 180o) bet.'l' eerl the bisectors I
cl' lhe tltlrer tu'o an-9les ts :
qi{ftn?iiBTe6rq-dF6|ul1200E},frfiUqb:rqdairTrta:=:irr+iaa1-q qq +;t"l ( 18oo t 6-q) 41 qrq *fr :
' r\r ?^o (B) l08o\ rl
ici tsoo (D) 1540
6 lllllllllllllllllllilllllllllllllllllltllllllllllllllllllllllllll t co'td"' 48tt
12 In the
qd*
figure, given here, AB - AC. The measure r-:f z*. B,,i(t is
qfi 'rilFftr €.qn : lc t r z. BAC +t erq el'ft
(B) 360
(D) 72o
(A) 24o
(c) s4o
13 Angles subtended in the same
(A) equal
(C) cornplementan'
ffi ga * \-r ei ga Eis q
(A) sqn
(c) Tt-*,
segment of a circle are air*.i'v5
(B) uneqr.ral
(D) supplernerrrary
qi iq e"t-q €}fr t :
(B) 3rcqFr
(D) {iq{m
_Altd... 48/OS/r-2lrillllillllllilliiliilllllililliijjllililiiillilirll illiliiliillr I r *,r!rl
l4 -fhe bargraph, given belorn-, sho."vs the nuniber cf' -*tridr:;i13 ir r,iri51
Farticular school durinq lears 2004-05 to :007-ar8
'iTn ,tqi rrql rsrdar q'.i zoc+-os t :oo;-ais q iSEi +-.*,r''' i;-;i;i.;
'{ f{fifiid' fr nisr .n nqRie ml'ni t i
i\ ,'1 .r
7.',,' I \
300250200150r00
-{0
2i)i)+-0,5 20()-5-()6 2(X)6-07 20til-{rSYears ag
in rvhich vear was the nurnl,.er of str-rCents in iiie rrlass-lX 250
f.6R' q{ cFHT-lX n ffifq'i dt E-cfll tirt i ?
(A) 2004-05 (B; lr.,r5-0tr
((l) 2A06-07 (l) r lt-,07-08
f;11 ' :{€1
i)
Dl*
*il
J;-
e- 2..
t-
(For \iisualll
(*-q-a eFz
'l'he cunrulative fiequency oi' the
here. is
qEi * .tfr qllflldl er{.it q q.f
irnpaired leltnrtrrs orrlr )
frTTi1 Fdnf,j'ii T T?r'i
. i.i.. i i- 1.-i irr tlt-' l': t .,
- -:, -:--aeli_ \ ?r rj-._]tl 11t-);,- :
IS
I .)
(ll.l 1t;
(D.) 23
(AJ ]
(c) 20
48/0Si l-211_A I lillllilillliliiiiiililiiililiiiii;lii:lrliililiilliiiiiiili;ili | { r'u';ttr"'
lS l]rrui tire alt:ourlt of nrotlc,v to be ,...i''ta at the cnd of three 1'eals tbr 2
{ lLr.tl(i{j at lf,,l..n per sllnllnl conlp.outtd interest' compoutlded a'nntraiiv
qfdo; {:--1:i i Fefr':-i". 1{^i').'.-r+j?t E-q;qfu qiq qft il t { 10'000 qf j sri i
iJi;{ e" iitqn q;n: ';- zFT flA *frtql
Ir, i .:.ii.:rc ard a ri-uht circrrlar c.vlilde1. cf the same raclir-rs of base as tadius 7
,ri sphcre. have equal volumes. Find the ratio of the cliarneter of the cvlinder
tti its height
!:a, ,fui {Lrr q-6 arq-{*q t-tr{, fuT* ,3{r?IrT 4I ed-qlq .rfr * eraqrg *
siTq{ t r iflc ft 'anq q'r sq-ft1 '.6sT{ t 0j-gqld grc dfrq t
I
i - Irind the area ol a rh.:rtrbr:s. the lengths of rvhose diagonals are l5 cm atlci 2
lil c111.
:- -1rdaIti.d -fl qiT-+-T -. iif:q l-rl{ltm ti.q,.''fr a1 qqiiqr 16 iifr ilqT lt' ffiz I
ts Sirtlr " r: il;ic-erith ternrs .ri ...:r A.P. are 120 arrcl 30 respectivelv. Find the A'J z
;,rfr r P T tt?-A as|r # qT mrltl: 120 deiT 30 tl A'P Sra dtfuqt
l9 lrind the sunt .
,jpiqn flfrT frfuq :
llli--*-- -f ----+ -----f -- |.'-!' J;.u lri-' l-.Y-
,titi0Sr'l --'2 I I -'.t I
e lllliillilllllllllilillillllllllllllilillllllllllllliillililillll tf-.o*tcr"'
20 r\ngles of a triangle are in the ratio 2 z 3 : 7. Find the measure of the 2 I
smallest angle of the triangle.
tFS frgq t atq 2 z 3 z z * ergqrn t trffi * q-{fr El2 6r"T 5i qrr f,r6
dfrqt
1rli2l Find the value of x-- if x'*-7=3.xt
I ^n A r I ^ -:.r-- 4T qt;t sro dfrq qR xr+l=3 T-r .r-
22 If the sum of three consecutive odd in:e3e:s .s -3. find the integers | 2
qft frq iTrr6r11 3tT{ qTfr frqq i-? =: T:l -3 d, d Wf* f,rfl ?- '-
23 The coordinates of the mid point of line-segment are (2, 3)' If the c- --: -:':: 2
of one of the end points oi the line-segment are (6, 5), find the cc: '- - : : ''
the other end Point
frffi |g1gjs t qeq. ft1 e ii{iris (2, 3) t r qft tGTGis * q* ::: -zz
* frtlri* (6, -s) di, a Ki 3r-d kg b fr{qlin s16 *tfuq t
24 Write the frequencv-table for the following cumulative frequencr ::: " 2
Classes 'l-- l0 20-40 ,+0 - 60
Curnulatir e tiequencies I 7 l0
TTn A 'rfi e-.r=ir ei-tercar ilfr-fl * frq qr-tqrror dlfrql frfoq
,,f .q.l l0-20 20-40 40-60
dqfrffi 7 10
48/OS/r-211-A It0 llllil!il13llllllilllll:iill[ ]H'[mH ' c: ntd"'
.|-=_::-
)' 25 Solve the follorii:; s'.':e: l: eQuations
TflqlTrlrq-d €f-r - +== rf E.f, drl.qq :
1:
2
-^)z-+-=-)xy
, 26 The sides (in cm) of a right triangle are x- l, x and r+1 (.rtt)'.
Find the sides of the triangle.I
=-=T €qetur ta1p qft lfqTq (nfr il ,r- 1, x derr x+t (.rrr) tr fuu oi Tnq
5,= ;tq r
27 Find rhe -::.r of the folloriins data usins assumed mean method
\1a:.: , 0-10 r 10-20 20-30 3040 40-50 50-60
Number oi S.-::::s 12 I8 27 20 1'7lt o
*i fri qq -q? 5 {'czt znfu-ir qrq frPd aRT FkT dfqq :
316 . _' I 10-20 20-30 3040 40-50 50-60
i{'qrRi?fr *1 drqr .: i 18 27 20 17 6
48/os/r.i2t1-Al ' 11 lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllltilli tco,rt,r
frncl the ni:rribers
E] iirglotT ql qT'T l-t ? r -':. 56 q-trrT' .Fl r-'nT _ e ;r = ..-J|
-"_- ^=f,-A._ .::lltl ciril,rl..i I
29,{contputerisaraiiab1eicr.{]].i-;r]0cashort:0.c00caSh:.--'..':
together lvith 5 equal ntonthlr instalntenrs. Ii rhe rate cf ilre:..: - -,.--: -
r"tncler the instalnrent plan is ir-,oo pef &nnlinr. calculate the 3r--t-,-. . -' - - -'instalment.
g{ SF{ZT { i4.000 * =r+-q Srrd-{ g1el.{T { 20.000 gt6'q:r=;= --,-- .-} =
-5 gqpq ql,k-* ftr6t' q' Jq-f,-cil ?r r qR ftnrn q1lq* * :Fa.fT - - - _- -
* ETftf-{ ar i09'o d, ,TJ q-.q-6 i*liT +i rrfir gr+ Ciaq r
3t) Provc thal .
l-{r'q 41fu,r Tfi :
tan ,{ cot ..1
= i r sec.-i cosec -{I - cot ,,{ I - tan .-1
3i F-irid the ;;ri..bai.,;r,:', .ri . ;:.-r-le3li ,\ ear 1-165 dal s) containing -i_l S.-- - _ , i
fofrl t-q-fl iii?; rr:j ?=:+, Tf q 5l rf.fqir ET+ zbt s1fr--.r-i =:a1fuq r
Lz iilllililllliililiilllllilllllilillliilllilll ll:ll tlf f c,,ni ld8/0s/l--211_A I
J! At a point orr thc
lvith it is fciurrd ro
lci e l grcuncl.
be such that
the airgle g
1tan B = --.1.)}L
ntade bv tlie lop of a tovu.er
Orr vralking i76 ni towards the
fbot of' lhe icr,. c.
of the to*-':
i-(1l5 I -1- ? '.1.4
0qg i = ,u,, e =112
qo 4rir & ehf frE
fifuq dft o es R-€ t
ERT d-eT * ffirr e-"n
'Sr- +- --
1,, ---- .-,nl'll( c{1' L{lq lq.-{ ql
becontes {t such that tan p = Find the heighr
,'u-cnlul
3iT{
!T T6 qtuT O A ,rTtrT ?; aTh ran g = 1 $-qR qi r_ttd
Construct a q.radrilatenl ,4lJ(lD such ri:at .4lJ : CD : 4 lJ(' =. 5JJ
A!,) : 3 cnr and z ARC =(.0" ccnstruct a triangle equal in area toquadrilateral
cl1.l,
this
q6 R-& q3;f.,a AB('D rt!-,o qt q!;f-,a AB(:t) *t r-l-ql -' uq fust arg : CD: 4 td, BC - _i Tiii,,
AD : -r tfr nefi /. ARc = c ,,' ;T I is qgCq b *dqm h onqr *-{.F-f, ild=',F 6T ru-n eiftig r
OR /.rielin
{For Yisu:tllv impaired learners onlv)
'+Er Efu fq-6di,r ffi*ii a frqi
\vrite the steps oi- co:,srRi;:;,rn ior consrructrng two tangents to a circl..- \\lrhcentre 0 from a point P ourside the circle
o i;ai qrd q6 Ta qr ftaft ere .t-g n t d?] .rr+ qr-fi * erri i.er:nfr '.o* * qi"r fo.fuq r
48/OS/l 2ll A l 13 lilllilllllllliilliililiilllliillilliiilliillllillltilliliilrill r Co'tir.
34 Find two consecutive odd intesers' the sum ot
i qt mqflq fuEq Eq Wt6 FTf, Cfuq ffi
whose squares is 130
+-ff or qhr 130 tl
circumcircle and
hon ntanv times
the incircle of an equilateral
the area of the circumcircle '
qri ft qfr ail-?fd fr q6 €qer3 35u ;rc * qftgfl fren cnff{n fii m :
an frfuq fu qft-{d ol *rxt'n 3r-<-{f, * *;s-f, oi ffi gql t I
35Iftheareasoftwosimilartrianglesareequal.pro\.ethattheyarecongruenl
qitqiqqsqfusdfhd-'q-f,q{|flEI'HTfr€cfqqfuaq-qtTKqEtiil
ln the
triangle
that of
figure, given here' the
AllC are drarvn Find
the incircle.
4S/os/1-211-A I1{ ilt u I I ll lllilIlllllllllllllllllllllllllllllll. [ 9on.,r"'
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