No. of Printed Pages : 15 SS UC - 2_O lg _J3af 3771

llfllliill lil lil I illlllfiillilillllllllliilillilil .",,,rpft1,nff

( pLflB LopgLo grrdeu eil Ull / Tamil & English Versions)

Gn - :l,: Loaorfl r \Nww ' Kalv i'sot'{i[ffi13, Log-G-ainaei : r00

Time .{llon,ed : 2% }'Iours ]

aarflprb / MATHEMATICS S0B926

[Maximum Marks : 100

;xflqeotl : (1) =+arem$g er9lennrisqgLb sf'lurns glesu u$1arn61 zeirorp n ereiirL:peoen

+ r11 nn$g6 Clsneirorqrb. e1s*Lt u$1or9el geogl uSlg L.l r_9 eiir eleoprisaimsnaofl Lr u nonrflrri lrenqu ns Glprflofl6sq ri.

(2) $euLb.erd;eug slgLrq en Lou9leoen Lor@GLo oqggeilpfqgLr uueinu@$pGerain@ rn. L-L rasoir erao lo:p$ 15 G ueinCl eb r u eirL: @$pq Lo

Instructions : (1) Check the question paper fol fairness of printing. If there is any lack offairness, inform the Hall Supervisor immediately.

(2) Use Black or Blue ink to r.r'rite and pencil to draw diagrams.

gd u r-.i' Seuo,9arn$pneir pireng r-Q fi elsen eir& Glo nainr51.Note : This question paper contains four sections.

.91fl.,1 - I/SECTION-I

qgfluq : (i) gnlqflaid reiron 15 or9ennBsqgdgri e$leoruaflriselLb. 15x1=15

(rr) Gsn@risl u r@eirar p neiirlg or9len rsofl el rdleqLb eflunelr o,91aolen u$Gp+$Clp@$gl CqCl uS' O -6rl a61enr ugl eoenq i GeriggL erqggs.

Note : (, Answer all the 15 questions.(ir) Choose the correct answer from the given four alternatives and wrrte the

option code and the corresponding answer.

1. I :A + S gO 6(Dqpu+nnq LoSgLb n(A)=5 6rdlei-> nG) -(.a) ro (+)+ (g) s (m) 2s

If -f : A -+ B is a bijective function and if n(A) :5, then n(B) is equal to :

(a) 10 (b) a (.) s (d) 25

[ $19uqs / Turn over

SSLC SEPTEMBER 2013 www.kalvisolai.com

377t

2. a, b, c,1, m, n 6r6trlt6.1 a,r@$ Glpnrri ot rflaieugl6D etar Ll$5 eir6fr6lr ereoflo 3a + Z

3b+7,3c+7,31+7,3m+7,3n+7 erc,rlrp G)pnrn eu rflar+ :

(er) gO 6lugri;15$ Glpnrri oufleo+

(:t) gO a'r@$ GlPnrri orrflar+

(6) gCf LonfleSl$ Glpnrri orrflene

(") eCq s'L-@$ Glpnr-,ft eurfleneq6 ereua; Glu19&15$ GlpnL-ri ourflareqLb slebeu

Il a,b, c,l, m, n are in A.P., then 3a+7,3b+7,3c+7,31+7,3m+7, 3n+7 form :

(a) a G.P (b) an A'P

(") a constant Sequence (d) neither A'P nor G'P

113. 96 Glug&g$ Glpnrri ourflareugleu tz: i ,pgl' t3 = i a-erflcil, etpein G1un51

or9l6pLn

11ter) i t+) i (O) 1 (m) s

In a G.P tz : I u.,a ta : ]. rn"n tt" common ratio is :

(a) I ol * n, 1 (d)s

4. KeN ergtLb Gun5t aK, aK+3, aK+5 96luor $flein r-6'Clun'r-o'

(er) u"*e (+) u" (S) uK*6 (*) uK*s

The LCM of aK, aK+3, aK+5 where KeN is :

(u) aK+e (b) aK (") aK+6 (d) aK+s

3 3771

5. ar2+b,r+c:0 ereinp SlOurq+ eLoeiiru nr-_qein greu riseir a Lo$gLb B erafl ei;

11o ,p&,1,

U +6lu eurouE 60)p (gr6DrErs6nns{i Glsn6,t'u 6O"q" +Loeinur@.

(er) a.t2+br+c:g (g) br2+ax+c=O

($l) cx2+br+a:0 (r,r) cx2+ax+b=O

If o and B are the roots of ar2+bx+c:0, then one of the quadratic equations whose

11roots are - and

U is :

(r) ax2+bx+c=O (b) b;r2+ax+c=0

(") cx2 *bx + a:O (d) cxz+ax+b:O

(L 1\6. o " [o ,,J= (1 2) eraflei-r e ein eu rflea)e

(er)zx1 (q)2xz (g) 1x2 (r,r,) 3x2

/1 r \''

o ' lo z)= tt z1 , then the order of A is :

(u) 2x7 (b) 2x 2 (") 'j. x 2 (d) 3 x 2

7. (3, -2), (-1, a) gdu qeirafleenor Senamrig6 Gpri Ganr_rq6i,r enurorl _ ] ererflclr2

a-ein Lo$lu q :

(s)t (+)z (6) 3 (rr.) a

Slope of the line joining the points (3, -2) and (-1, a) is - 1, ,n"., the value of a is,2equal to: '

(u) 1 (b) 2 (c) 3 (d) 4

[ $lguqs / Tum over

3771

8. y=0 LoDgrb x= -4 +6lu Gpri6Gsn@eoir Cleur@r-b qoirofl

(.9) (0, -a) (+) (-+ o; (g) (0,4) (m) (+, o)

The point of intersection of the straight lines y=g and.r= -4 is :

(,) (0, -4) (b) (-4, 0) (.) (0, 4) (d) (4, 0)

9. $q9 errqGla.ln$p go&Gsneorrfus6rfl6itr u&srirs6lfleiir a9ldlpLb 2 : 3 eraflet gal0dl6truyu uene4soflein o6l6lpLb :

(er) s:+ (+)a,e ($)z:s (m') 3:2

The sides of two similar triangles are in the ratio 2 : 3, then their areas are in the ratio :

(u) 9 : 4 (b) 4:9 (.) 2 :3 (d) 3 :2

10. o-6o6u 6DLDurLDrs L6DL-ur errrp$l$g PA, PB ereinuem Giouafluqeirafl n u5le$lgpgr

eIl 6n [r1r Li r] LL$ Glpn@Gen@ecir. $$Clpn@Gs n@sqg66 Sl eo ru91 eu zeiren

GsneorLb 40' oafleu IPOA:

(er)zo" (+)ao" (g) s0" (n) 60"

If the tangents PA and PB from an extemal Point P to circle with centre O are inclinedto each other at an angle of 40' then IPOA=

(u) 70' (b) 80' (") 50" (d) 60"

11. (1 - cos20)(1 + cot2e) =

(et)sin2o (g)o (6) 1 (n) tan2e

(1 - cos2e)(1 + cot2o) :

(u) sin2o (b) 0 (.) 1 (d) tan2o

L2. (1 + cot20)(1 - cose)(1 + coso) :(el) tan2o-sec2o

($) sec2e - tan2e

(1 + cot20)(1 - coso)(1 + cos0) :(a) tan20 * sec2o

(c) sec2€ - tan20

(.5) sin2o - cos20

(r-r) cos2o - sinzo

(b) sin20 - cos20

(d) cos2e - sin20

3771

13. 6tf*r6, a,Lbqsoir +io Srfrilseir Gls rai,n @ eirenelr. GngLb eter$$ein+nquTrasafloin ofl6)p Lb 4 : 3 e.eoflel eueoaru 7u qserfleir o9l6lp Lb , -'(e1) ro: e (9)8:6 (g) +:e (r+) 3:4

T'r'o right circular cones have equar radii. If their srant heights are in the ratio 4 : 3,then thejr respective curved surface areas are in the ratio :

(r) 1,6 :9 (b) B : 6 (.) 4:3 (d) 3 : 4

14' Glp ng u rglg eiren eigler qra aafl eL rfrsLr Giurflu Lo$)uq 72 atpga 16lo+ 61fl u-rLo$uq 28 ereflel el$Gpngurglein o8lariGlsqg ;

(.e{)++ (q)0.72 (6r) 0.44 (r,r,) 0.28

The greatest value of a corlection of data is 72 and Lhe reast value is 2g. Then thecoefficient of range is :

(a) 44 &) 0.72 (.) 0.44 (d) 0.28

15. gGf Gpr,dleil $)19 usenrsoir e_lgrruu@6leinpen. useoL_ugoi;r $rTeror(5tgrorisaflgib gG7 eremlemrns @qE6s $lsLbpsq :

1111er) :o (+) , (O) ; (,) :Two dice are thrown simultaneously. The probability of getting a doublet is :

-t1r(a) % rt,); n, i (d) i[ $6Lrqs / Turn over

377L

r-9,flq - IIl SECTION - II

(Lo$luGluainseir : 20) / (Marks : 20)

gfluq : (i) ug51 oslarn6sqg&i5 ofleorulaflBooqLb. 1.0x2=20

(i4 eflenn erain 30 rig s enl'q1-l u ns o$airuoflriaeqLb g:p6n

14 orglennri;oafl e$l(rt65 6fGpgIl Lb 9 or9leor6seoor3i Gpnq Cl+u-:uqLb'

Note : (i) Answer 10 questions.

(ii) Question nurnber 30 is Compulsory. select any 9 questions from the first14 questions.

't6. A:{1, 2,3, a} Lo$gLb B={-1, 2, 3, 4, 5, 6, 7, 9, 10,'t7, 12\'

eretra. R:{(1, 3), (2, 6), (3, 10), (4, 9)} cAxB 5119 Lperl 6r6ofl6D, R g 96 +rfq6r6oT{i BtrL,Gl6. LDE$ b grp6i,T asries$$leoelr snai'ns.

Let A = {1, 2, 3, 4l and B: { -1, 2, 3, 4, 5, 6, 7, 9, 10, 17, 12]l

LetR:{(1,3),(2,6),(3,10),(4,9)} c AxBbearelation' Show that Ris a tunction and

find the range of R.

77. (AuB)' ri6 Clateinu lLil ouelrus.

Draw Venn-diagram for (AuB)'.

18. Glpnrn orrflao+u91oeunp ennqrilg 919 er@$SrBunLO p(Ds'

Give an example for a function which is not a sequence.

L9. r6.Glun.Lo. sreiors. x2y'l xy2, x2+ty

Find the LCM x\+xy2, x2+xY.

3771

20. Eri-eis.3r-9=z-t

Solve: 3:r - 9:2x

(22-1. A: I

l-e

(2LetA:I

[-e

3')

5l-1

7 lrJ rr*n A eiir s.rreu GpriLong erooofleouri snains.

3

5

t l. ,n"n find the additive inverse ot A.-t )

(1- lz

22. enurqri GsnemrLi a5" Lo$gLb y-Glerr@$gain@ | .ZCf r-fanp6 Glonainr

GpriGsnrrq6br eroein u nrenr6 a.ge.

Find the equation of straight line whose angle of inclination is 45" and y-intercept is J.

23. A(2, 3), B(4, 0) Lolgl6 c(6,gr 6rl LD ri5r6iT6n6[r ereo r6]enril.

- 3) gdlu q eirafl seir gGry Gpri6Gsnrrlei;

Show that the points A(2, 3), B(4,,0) and C(6, -3) are collinear.

24. AABC 6! lA eratp Gonarr$$lein LLqp gl9 +roGlorrrq AD S6ilgl, urisib BC go cil e$$lr+;6lpg BD:2.5 Gls.d ag:S Gi+.r-6 Loggrn AC:4.2 Gle.d 6r6bfl6l. oCgri snaine

In AABC, the internal bisector AD of lA meets the side BC ai'p. If BD:2.5 cm,AB=5 cm and AC:4.2 cm, then find DC.

[ $]1guqs / Tum over

3771

25. 0 gi9 gg6Goiremrr-b Lo$g ri sino : cosO oa{leu tan20 - 2cos20 : 0 eren $1q9r-9ss

if sinO : cos0, 0 is an acute angle show that tan20 - 2cos20 = 0'

26. 98.56 e.Gle.d. qpuu[ul'] Glsnainr 919 $ai'nLori; Gsnon$$lein eSilpaop& sraino'

probability of getting :

(r) a black king (ii) a sPade card

Tf the curved surface area of a solid sphere is 98'56 cm2' then find ihe radius of the

sphere.

27. tD[S$6irn6Dn6fl 919 $rai'nLori s'Lbrgloin erqs &Dp6r6r1. aa rf Lolglrb stpcrl LLi'ILD

12 LS eraofleu er$$aimrodt s'Lb L9lar 56b1+'16rr6oor15 5n6drT6 '

The circumference of the base of a 12 m high wooden solid cone is 44 m Find tl.re

volume.

28. gpero 13 $uo erainsafl ein $rr o$oBa$arp6 566or6dlGr5'

Calculate the standard deviation of the first 13 natural numbers'

29. peing saro$5 6oeri&5ulrLL 52 SL-@seoorri Glsnenu fr@ri srrqerSllg$5 +tn

or.rnuruq+ Genpeoem 19reopr.rglo giry sr@ er@6oLru@6lgl$ erBpri' sr-@

r5leinor lger emar ns Sr196s $)sgp psorlsatma 5r6nr5'

(0 o(EUq glrrer (ii) eiuGu@ snn@

From a well shuffled pack of 52 playing cards' one card is drawn at random' Find the

30. (er) eratf)u5lei;r Glug&seu uo6i'r sndins [-tr)

t' -7)

(u) Find the product of the matrices [-i)

,' -,

(+) 1 + sec0 sin20

secO 1 - cos0

g{a)a)gl

crem pgels.

OR

sin2 o1+ seco _sec0

(b) Prove that1 - cos0

9

CIlflq - IIIl SECTION - III

(Lo$uG1i:aimseir : 45) / (Marks : 45)

3771

qgfluq : (i) 9 oSlenmrisqgtiqg eflarruaflrisqLb. 9x5=45

(ii) o6ielr n 6r6di,r a5 6g oainruquuno egelrL-uaflrisa,1Lb. gopd14 er91en nriseifle$lg$gt -6rGp@l Lb 8 e$ennrioenon$ Gprieq Gl+u-rueqLb.

Note : (4 Answer 9 questions.

(ii) Question number 45 is compulsory. Select any 8 questions from the first'14 quest ions.

31. X:{1, 2, 3, 4, 5]r, y :{1, 3, 5, 7, 9l ereas. X dlgtlgt Y risner rpeqseir 8GpG1e nStrisu u r$teirarar. $tor$$lar ereoel enriunqgLb? lein or9lat rdrs r6n p19ppsnrJemLo pq5s. GLogrn, gleoeu anriq erelfl ei-1, erelareos+ +nriunlgri?

(i) Rl : {(r, y) lL/: x+2,.t e X, y e Y}

(i, R2: [(1, 1), (2, 1), (3,3), (1, 3), (5, 5)]

(ii') R?:{(1, 1), (1,3), (3,5), (3,4, $,nl(i") R4: [(1, 3), (2, 5), 14,7), (5, e), (3,1)]

tf X= {1, 2, 3, 4, 51, y: {1, 3,5, 7, 9} determine which of the following relations fromX to Y are functions ? Give reason for your answer. If it is a function, state its type.

(i) nr={F, V) ly:x+2, "t e X, v e Y}

(ii) R2:{(1,1), (2,1), (3,3), (4,3), (5,5)}

(ii, R.= {0, 1), (1,3), (3,5), G, n, 9,4}

(iu) R4={(1, 3), (2, 5), (4, 7), (5, e), (3, 1)l

[ 619,-,qs / Tum over

3771 10

170 atnqrieosunarnoofleu 115 Gun Glpneoeurionrfleouq6' 110 Gln

6rnGl6irr65l6rlurulrn LoSgLi 130 Guri r$$)rfleossaronq Lb Iueirr@$5Ldlpnriseir

aeinueop g19 ogonbLrf $gorenLb oedinrfl$pgr' GLogLb 85 Guri Gpneoeu6snl-f)

,69ti, 'rp$,n-ss6o6lru-.lLD,

75 Gui Glpnaoeurisrudl Lofgri ernGerrer\leouqLb'

s5 Gun eu nGlennaSl Lop96 r$$fleosseoonqLb' 70 Gun q9l ein$leo enq Lb

uueinu@$58pnriseir orelreLlb sai'nrfl$5 Glarailrur$$eu ofler r;r or s eo enri

Odlpgl, L9larellgoreorel$ar glli; sneroro

(i) eu nGleunasleo ul Lor@Lb uueinu @$Suelnsaflein erainemfl rieos '

(ir) Glpneoeu6snr6eou or@ri u uaiu @$5ueu risoflcin eraimalflrieos

(ii, Gpreereuriunrfl LopgLb u$$rfleo55ar6nu uueinu@$$ ar nGlemneSleour u

u u-t oiiru $r$pna ns6lfl 6itr er6dfl660flri6oa'

An adveltising agency finds that, of its 170 clients' 115 use Television' 110 use Radio

^"a faO "t"

duglrin".. A1so,85 use Television and Magazines' 75 use Television and

nraio SS rr" ir,lio ancl Magazines, 7tl use al1 the three Draw Venn diagram to

represent these data. Find :

(4 How manY use onlY Radio ?

(ii) How manY use onlY Television ?

(iii) How many use Television and Magazines but do not use Radio ?

33.91ryGprrlrrisrrr1rrri+rf}olse)lrq66l6Daolrigehflalarg{eoLorig$]rL_16]@6lprrft.i,n--*1;$)* $aimL- gpen aurfleo+ri1q 97 Glerissseir Gpeoouuu@8p5 6leinq

golGlalrg o-rrfleoeugl6tl ACqqpgotb 6rfanrqryi'T@ ^Gl+d'Lufrsoir

OarSeu1s ar.arBs

Gerain$r rn. el ol ou rgeo Lo u L91 eu 25 eu fl al +s erfl 6 L-t rgl ein, eloln eunras GolainEul

G)erispsafl ein erai,noufliieos er$palen?

A gardener plans to construct a trapezoitlal :!1f"t1 :tt":t"1u in his garden The longer

,ia1 of tup"roia needs to start witi a row o{ 97 bricks' Each row must be decreased by

2 bricks on each end and the construction should stop at 25th row' Ho* many bricks

does he need to buY ?

tL 9771.

34. r9leinergLb Glpnrrfiein a,@pateuri snalis.

113 + 123 + 133 +.......... + 293

Find the sum of the series :

113 + 123 + 133 + .......... + zg3

35. m-nx+2812+12x3+gxa =2!6119l @O grqg ou ri-tsoLb ereofl el m, n 96luorpflein:$),r qseoorr$ snainro.

If m - n-t + 2812 + L2x3 +9xa is a perfect square, then find the values of m and n.

36. o, B areiiru em 3x2-6x+4:o ereingr Lb eLoeiiru nr- rqein u)6Dfli56ir ereffi el .,2+ B2Lopuqri snons.

If a and B are the roots of the equation 3x2-6x+4=0 find the value of &+92.

11 8\37. A: l, , I erertlcil A2-3A-54I:0 eren f qg rg[i,s.(' z- )

ff A :(1- 1l ,n"r, show that A2-3A-s4t :o\7 2)

38. (2, -5), (3, - ) LoggLb (9, K) gdlu qeiroflaoir g1g GoruanLoouen erefleb r ein

Lo$)uq snemle .

Find the value of K for which the given points are collinear. (2, -S), (3, -4) and(e, K).

39. (-2, -1), (4,0), (3,3) LoSgLb (-3,2) gdlu qeirafloenon erfleneurns 6r@pglBclsnain@ enur66l6D6oru uueiru@$$l elenou gri $raraursl$arp eleoorioLb eren.id)I L(rrCb.

Using the concept of slope, show that the points (-2, -1), (4, O), (2,3) and (_3, 2)iaken in order form of a parallelogram.

[ $guqe / Turn over

123771"

40. Gsnau Sl19 eLoGlourrg$ Gpppp-p erqg$ pgL96s

State and prove angle Bisector Theorem'

41. tanO*sin0=m, tan0-sinO:n Lofgri m+ n arefler; m2-n2:4"6i eramii snr--Sts'

If tan04sinO:m, tan0-sin0:n and m + n' then show that m2-n2=4J n '

4?. gg un$$lrlrn $teourisoonL-6 er r-+6$6n reironS elpein GLopqp eJrb LDpg)lLD

liq, g-pC, 8 Gle.d LopgLb 14 Gl+ 16 ereins "eruun$$7$$ein s6nel6ri6rl

5Y6 *.Gt*.,-6. erafl eu et r-qLr uris$$ gldrar er rr$$ein $rp$arenri snairis'

3

A vessel is in the form of a frustum of a cone lts radius at one end and the herght are

8 cm and 14 cm respectively lf its volume o lT ""f 'then

find the radius ai the other

end.

43. 3 Gle.L6. sJ[6 toEgb 5 Gle L6 errqurlb G]snaimr AO 0L err-r6Gsnarm

a,Lbrgeoar Lrpeiir p-&61 A eug!uns e(9 p6rp$6nneu S19 eto Lr rsrsrs6rrirsu

r91 rflrieu u @61p51 elp6itr 919 u ns$$1en Gl Lon$p upu I [u Seoenti srr66rrs'

A solid right circular cone of radius 3 cm and slant height 5 cm is cut by a plane

;il;;;h A'i*. two exact pieces' Find the total surface area of a single piece'

13 377L

(')

rii) AGr 5lO e9g5l Lor@Lb Glugpeb qdu $ls;lr+6tsqgiisnen$1s;lgsqoaren d snains.

The probability that a new car will get an award for its design is 0.25, the probabilityihat_it will get an award for efficieni use of fuer is 0.35 and tiu prouuiifity ihat ii wiliget both the awards is 0.15.

Find the probability that :

(,) it will get atleast one of the tr,vo awards.

(ir) it will get only one of the awards.

45. (er ) rr c1u ein8 eboeir Lofgrn 3 gg!Lr rneirsaflein Gl Lor$p erlrareu q9. 50. Go@,Lb 8clueiirflels6ir LosgLb 3 erg!urneinsaflein GlLon$p a,grer. g. as *aannlgtqGlr ein8eb LDpgb g(D etgluunein afleoeuaouti snains.

44. gO Ll6u ,Ddlp6,l,Egr elp@l6oLrr ourqoreoLoLrr_g$ons orgllggt Glrgrn $)sElgeq0-25 ereirs. 6lp$p goarpu9lci o6lGlrng# uuoinunrrqssnor a6lgg dugLir,61"1]lp"q 0.3s LofgLb 6O uflOg*€yLb GLgerggoneo, poBpoq-o1s o#c;etLoLodl5pqggl.

(96Dp,Ep5r 6rpn6)jgl] g(D 66](Egl Gugpeir

gl6D 605l

(g) zeuod sn'elr$g Grnrrgsaflel-r 71 geinaralfl osTriseir er rq$p Gsr6bs6rfl6irTerai,nemflri ao s u9 ein orglol qru seir r-9 einel g Lb et r r_ol ao eolr ug ei;Clon@risu u r@eirengr. $te! o.9ler f pSleiir df r-rofleuris ri sn6r0rs.

r-9rflq SaorGlerofl 0-10 1.0 - 20 20 -30 30-40 40-50 50-50 60 -70pspGlouainseir 8

.1.277 14 9 7 4

The cost of 11 pencils and 3 erasers is Rs. 50 and the cost of g pencils and 3 erasersis Rs. 38. Find the cost of each pencil and each eraser_

OR

The following table gives the number of goals scored by 71 leading players ininternational football matches. Fi,,d the standard deviation of the diia.

'

(u)

(b)

Class Interval 0-10 10-20 20-30 30-40 40-50 50-60 60 -v0Frequency 8 12 '1.7 14 9 7 4

[ $19uqs / Turn ove'

L43771

'-Sllflq - Ivl SECTI0N - IV

(ro$luGluaimseir : 20) / (Marks : 20)

gdluq : gerGlaung o61arnofl96 zdr6r S[6ddr0 ton$p oflenn&sofle6l6$5 9gorglennarer$ Gpn$Cp@$gJ $q9 o6lemnrisqgri1g1b er9larruafl6soL1ri 2xl0=20

Note : Answer both the questions choosir-rg either of the alternatives'

4G. (et) 3 Gle.rf. €rrcpeirai ouL-r$$ein arLou$peSg$gJ 9 Gle L6 Glpnareua6leu 96q eirefl eo enri lqfl rie. s u q enofl u9l orSl gi$gl or rr$$ f 6 Gl p n@ Ga n@ o eir

elrdofpg], etpein $6ndrs6oar seomri6l@o'

(eteneugl )

(g) en:o Gls.6, en=a.a G1+.r-6, en:s Gl+ r-6' ofpLb CD:5's Gl+ 16' oeingr

4lene4soir Glsnainr ouu pn$s7Lb ABCD et160[5'

(a) Take a point which is 9 cm away from the centre of a circle of radius 3 cm' and

draw the two tangents to the circle from that point'

OR

(b) Construct a cyclic quadrilateral ABCD where AB = 6 cm' AD:'1 8 cm'

BD:8 cm and CD:5 5 cm

47. (gt)y=2.r'2-r+3 ouenrJu rLb oleoys'

3l606!Jsl

slp6il (P6DLD.

(ii)

(+) gO erru6l, gppr; gr.qtoseoflein enoruq$ Glpneosli1g 10% pefl or rr-9'-"'i,irry

n J.,rqp Glpneos&gLb etppg 9n gaior$tri;g6 6leoL-ri15Lb

*L,1*[,i, Sleo r--Gu u nen Glpnrnr-9l alem& srLL 6)(E orL en rJu rLb aleo 1s'

(i) (0. 650 6naruq$ Glpneoa6g6 6)arr&gLb erll-t+ topgLD

q9. 45 orrqu-rnori Saor6s or ru61u91el Gl+g$puur Gerainrqu-r

erraruq$ Glpneos +561uareuf enpri snains'

15 377L

(u) Draw the graph of y=2x2-x+3

OR

(b) A bank gives 10% S.I. on deposits for senior citizens. Draw the graph for therelation between the sum deposited and the interest earned for one year. Hencefind :

(i) The interest on the deposit of Rs. 650.

(it) The amount to be deposited to earn an interest of Rs.45.

-o0o-