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Karnataka SSLC Marathi Medium : KSEEB Mathematics March 2010

10 pages, 58 questions, 2 questions with responses, 2 total responses,

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P122 81M gm_m ` gyMZm i) ii) iii) iv) v) I. hr Zmo ma n{ H$m Amho. Zmo ma n{ Ho$V {Xbo `m OmJo_ `oM {d m `m Zm Zm Mr C mao {bhmd`mMr Amho. m Zmo ma n{ Ho$V "OmoS> m bmdm' Zmg{hV EHy$U 58 Z Amho. {d m `m Zr Zm Mr C mao nop gbZo {bh Z`o. nop gbZo {b{h `mg `m C mam Zm JwU {Xbo OmUma Zmhr. (AmboI, AmH $Vr Am{U ZH$mem gmoSy>Z) m Zmo ma n{ Ho$V {Xbo `m n`m `, [aH$m `m OmJm ^am Am{U OmoS> m bmdm `mgma `m Zm `m C mam Zm ImoS>VmoS> H$ $ Z`o Am{U Hw$R> `mhr IyUm H$ $ Z`o. Vgo Ho$ `mg `m C mam Zm JwU {Xbo OmUma Zmhr. `oH$ Zmbm Mma ~h n`m `r C mao {Xbr AmhoV. `mn H$s `mo ` C ma {ZdSy>Z n`m `mgh (g H$o Vmjamgh) C ma Zm `m Imbr {Xbo `m [aH$m `m OmJoV {bhm. [20 1 = 20] 1. Oa Tn = ( 1)n Va nXm `m ~oaOoVrb `mo ` g ~Y (A) S1 = S2 (C) S3 = S4 2. (B) S2 = S3 (D) S2 = S4 ab, bc Am{U ac Mm _.gm.{d. (A) a b c (C) 1 3. (B) a2 b2 c2 (D) ab + bc + ac XmoZ g_ $n { H$moUm `m g JV ~mOy Mo JwUmo ma 4 : 9 Amho Va `m `m jo \$im Mo JwUmo ma (A) 2 : 3 (C) 81 : 16 4. (B) 16 : 81 (D) 14 : 19 Oa 9 x = 12 + 147 Va x Mr qH$_V (A) 12 (C) 3 5. (B) 9 (D) 3 Imbrbn H$s MwH$sMo {dYmZ (A) n Pn = n Cn (B) n P1 = n C1 (C) n P0 = n C0 (D) n Pn = n Pn 1 LXXX I M 01 220410 -2- P122 6. 81M Imbrbn H$s JwUmH$ma ` V H $_mMo CXmhaU (A) 1, 123 ,, 234 (B) 1, 1 , 1 , 1 369 (C) 1, (D) 1, 7. 212 ,, 325 111 ,, 479 Imbrbn H$s H$moUVm J m\$ dmhrV Zmhr. (A) (C) 8. (B) (D) 3 , 3, 3 3 , `m H $_mMo Mm Wo nX (A) 9 (C) 27 3 9. (B) 21 (D) 9 3 (x + y)2, (x y)2 Am{U (x2 y2) Mm b.gm.{d. (A) (x2 + y2)2 (B) x4 y4 (C) (x2 y2)2 (D) (x + y) (x y)3 10. VrZ g `m Mr ~oarO Am{U JwUmH$ma AZwH $_o 0 Am{U 30 Amho. Va `m `m KZm Mr ~oarO (A) 0 (B) 90 (C) 160 (D) 900 LXXX I M 01 220410 -3- [P.T.O. P122 81M 11. Oa v 2 = u2 + 2as Va u Mr qH$_V (A) v 2 2as (B) v 2 + 2 as (C) v 2 2as (D) 2as v2 12. 1 Am{U 1 ~rOo AgUmao dJ g_rH$aU (A) ax2 x 1 = 0 (B) ax2 1 = 0 (C) x2 = 1 (D) x2 + 1 = 0 13. Oa a = 0 Va a3 = .......... abc abc (A) 0 (B) 1 (C) 3 abc (D) 3 abc 14. 1! 3! 0! Mr qH$_V (A) 6 (B) 0 (C) 3 (D) 1 15. {Xbo `m AmH $Vr_ `o Oa PAO = 30 Va POQ Mo _mn P A O Q (A) 60 (B) 120 (C) 90 (D) 30 LXXX I M 01 220410 -4- P122 81M 16. Imbrbn H$s dJ Ed dJ g_rH$aU (A) 4 x = 81 x (B) (C) (x + 2)2 = 3x x+ 1 =5 x (D) 5 x2 = x 17. Mm agmMm H$U 10 2 g|._r. Amho Va `m `m ~mOyMr bm ~r (A) 2 (B) 10 (C) 8 (D) 20 18. 1 Am{U 2 _Yrb JwUmH$ma ` V _ ` (A) 1 1 2 (B) 1 1 4 (C) 1 1 3 (D) 1 2 3 19. {Xbo `m J m\$mMm (Omb) `yh P Q 2 0 (A) 0 2 2 1 (C) 2 1 20. 2 1 (B) 1 2 1 1 (D) 1 1 n n + n =1 n (n 1) Mr qH$_V n =1 n2 2 (A) n(n 1) (B) (C) 2n2 (D) n2 LXXX I M 01 220410 -5- [P.T.O. P122 II. 81M [aH$m `m OmJm ^am. [10 1 = 10] 21. Oa A `yhmMm H $_ m n Am{U B `yhmMm H $_ n p Agob Va A B `yhmMm H $_ -------- 22. n MH$moZmH $Vr n >H$m Zr _`m XrV AgUmao {Z`{_V ~h n >H$ --------- 23. Oa P Am{U Q ho A[a V gQ> AmhoV Am{U P Q = P Va P Q = -------- 24. _wb^yV _mUmMm _o` gwM{dUmam J{UV Vk --------- 25. AY dVwiI S>mVrb H$moZ --------- AgVmo. 26. MbZ JwUH$ H$mT> `mMo gy ---------- 27. a x + b y Mr AZw~ H$aUr -------- 28. EH$ AY dVw i `mMm `mg p Wa R>oD$Z `m^modVr {\$a{d `mZo {Z_m U hmoUm `m KZmH $Vrbm ----- Ago hUVmV. 29. d m{M mrMo dH $n >\$i H$mT> `mMo gy ---------- 30. A H$J{UVr H $_m `m `oH$ nXmMm JwUmH$ma ` V KoVbm Va Vmo H $_ ------- AgVmo. LXXX I M 01 220410 -6- P122 81M III. Imbrb g_rH$aUo gmoS>dm. 31. 25 bmoH$m `m EH$m JQ>mVrb 8 bmoH$ \$ V Mhm {nVmV, 7 bmoH$ \$ V H$m \$s {nVmV Am{U 4 bmoH$ Mhm Am{U H$m \$s hr Xmo hr no`o {nVmV. Mhm qH$dm H$m \$s Z {nUm `m bmoH$m Mr g `m H$mTy>Z doZ AmH $VrZo Xe dm. [2] 32. px2 + 3x + 2 = 0 `m g_rH$aUmMo EH$ ~rO Xwg `m ~rOm `m ` V Amho Va p Mr qH$_V H$mT>m. [2] 33. x2 + 1 = 8x g mMm Cn`moJ H$ $Z gmoS>dm. y 34. VrZ g `m [2] 111 : : `m JwUmo mamV AmhoV. Oa `m `m dJm Mr ~oarO 644 Agob Va `m g `m H$mT>m. 356 [2] 1 2 35. Oa A = Va AA Mr qH$_V H$mT>m. 3 0 [2] 36. XmoZ _wbr Am{U Mma _wbo N>m`m{M mgmR>r (\$moQ>mogmR>r) EH$m AmoirV ~gVmV. XmoZ _wbr Zoh_r EH$ nUo {H$Vr doJdoJ `m H$mao ~gy eH$Vrb ? [2] 37. N>oXmMm H$aUr {Zamg H$ $Z gai $n m. [2] 3 2+2 3 3 2 2 3 38. 4 4 Am{U 3 3 `m Mm JwUmH$ma H$am. [2] 39. EH$m Am`VmH $Vr OmJoMr n[a{_Vr 32 _rQ>a Am{U jo \$i 60 Mm ag _rQ>a Amho. Va `mMr bm ~r Am{U Xr H$mT>m. [2] LXXX I M 01 220410 -7- [P.T.O. P122 81M 40. EH$m A `w{_{Z`_ `m n `mMm AmH$ma AmH $VrV Xe {d `m _mUo AgyZ n m Jw S>mi `mg e Hy$ ~Z{dVm `oVmo. Oa AB = 25 g._r. Am{U H $g BC = 44 g._r. Agob Va V`ma hmoUm `m e H$y Mo KZ\$i H$mT>m. | | [2] A B C | 41. _moOUrXmam `m nw VH$mVrb Zm|Xrd $Z _m{UV AmamIS>m H$mT>m. ( _mU 20 _rQ>a = 1 g._r.) [2] D n` V _rQ>a _ `o 140 C H$S>o 60 120 E H$S>o 80 100 B H$S>o 40 50 A nmgyZ 42. Oa U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {x : x hr 10 njm bhmZ Agbobr nyU dJ g `m} o B = {x : x hr 10 njm bhmZ Agbobr g_ Z g{J H$ g `m} o Va nS>Vmim (A B) = A B 43. JwUmH$ma ` V H $_mMo T7 = [2] 1 Am{U T13 = 1 Va JwUmH$ma ` V H $_mMo n{hbo nX H$mT>m. 38 20 44. S = {2, 4, 6, 8} Mo JwUmH$mamMo _mnm H$ 10 Mo H $boMo H$mo >H$ V`ma H$am. LXXX I M 01 220410 -8- [2] [2] P122 81M 45. Imbrb {Xbo `m `yhmMm J m\$ (Omb) H$mT>m. [2] 0 2 2 2 0 1 2 1 0 46. Imbr {Xbo `m KZmH $VrgmR>r `wbaMo gy nS>VmiyZ nhm. [2] A C B D E F 47. 4 g|._r. { `o `m dVw imV 100 Mm H$moZ H$aUm `m XmoZ { `m H$mT>m. { `| `m Xmo hr Q>moH$mVyZ n{e H$m H$mT>m. [2] 48. JwUmo ma H $_mMo n{hbo nX 64 Am{U gm_m ` JwUmo ma r Amho. n{h `m Am{U Mm `m nXm Mr gamgar 140 Amho Va r Mr qH$_V H$mT>m. [2] IV. 49. Oa a + b + c = 2s Va a 2 + b 2 c 2 + 2ab s = Ago {g H$am. 2 2 2 a b c + 2bc (s b ) 50. ""dVwimbm ~m q~XyVZ H$mT>b `m n{e H$m g_mZ AgVmV.'' ho {g H$am. y o LXXX I M 01 220410 -9- [3] [3] [P.T.O. P122 81M 51. Imbrb dma dmaVm {dVaU gmaUrd $Z _m{UV {dMbZ H$mT>m. g ^mJloUr dma dmaVm 20 - 24 2 25 - 29 3 30 - 34 5 35 - 39 3 40 - 44 [3] 2 52. EH$m {H $Ho$Q> g KmV 16 IoimSy> AmhoV. `mn H$s 5 \$b XmO, 4 Jmob XmO Am{U Cabobo gd Vmo_wIr IoimSy> AmhoV. 3 \$b XmO, 2 Jmob XmO Am{U Cabobo gd Vmo_wIr Agbobo 11 OUm Mo {H$Vr g K V`ma H$aVm `oVrb ? [3] 53. (x3 9x2 + 26x 24) Am{U (x3 6x2 + 11x 6) `m Mm b.gm.{d. H$mT>m. [3] 54. EH$m {eS>rMo O{_Zrdarb Q>moH$ q^VrnmgyZ 2.4 _rQ>a A Vamda Amho. {eS>rMr bm ~r 2.6 _rQ>a AgyZ Vr {eS>r q^VrVrb {IS>H$s `m Imbrb H$S>obm ne H$aVo. Oa {eS>rMo O{_Zrdarb Q>moH$ q^VrH$S>o 1.4 _rQ>a A Vamda gaH${d `mg {eS>r {IS>H$s `m darb H$S>obm ne H$aVo. Va {IS>H$sMr C Mr {H$Vr ? [3] V. 55. A H$J{UVr H $_m_ `o 7 `m nXmMr gmV nQ> hr 11 `m nXm `m AH$am `m nQ>r~amo~a Amho. Va AR>amdo nX ey ` Amho Ago {g H$am. [4] 56. ""g_ $n { H$moUm Mr jo \$io g JV ~mOy `m dJm `m _mUmV AgVmV.'' ho {g H$am. [4] | 57. 3 g|._r. Am{U 2 g._r. { `| `m XmoZ dVwi_ `mVrb A Va 9 g|._r. Amho. Va `m Xmo hr dVw im Zm g_mB H$ Am Va n{e H$m H$mT>m. n{e Ho$Mr bm ~r _moOm Am{U nS>VmiyZ nhm. [4] LXXX I M 01 220410 - 10 - P122 81M 58. y = x2 Am{U y = 6 x Mm AmboI H$mT>m Am{U x2 + x 6 = 0 ho g_rH$aU gmoS>dm. LXXX I M 01 220410 - 11 - [4]

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Karnataka SSLC (Secondary School Leaving Certificate) Marathi Medium - Karnataka Secondary Education Examination Board (KSEEB)

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