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Karnataka SSLC Hindi Medium : KSEEB Mathematics March 2010

10 pages, 58 questions, 1 questions with responses, 1 total responses,

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P119 81H n[ajm{W `m| Ho$ {bE gm_m ` gyMZmE i) ii) iii) iv) v) I. `h Z-gh-C ma nwp VH$m h & ha EH$ n Z H$m C ma {bIZo Ho$ {bE Bg nwp VH$m _| hr OJh Xr J`r h & Cg OJh _| hr C ma {bIm| & Bg Z-gh-C ma nwp VH$m _| "OmoS>H$a {b{IE' Z g{hV Hw$b 58 Z h & narjmWu C mam| H$mo nop gb go Z {bI| & Eogm H$aZo na CZ C mam| H$m _y `m H$Z Zht {H$`m Om`oJm & (AmboIm|, AmH ${V`m| Am a Z e| N>moS>H$a) narjmWu H$mo {XE JE {dH$ n, [a $ WmZm| H$s ny{V VWm OmoS>H$a {b{IE O go C mam| H$mo H$mQ>N>m Q> H$aZm, Xmo~mam {bIZm Ed {M bJmZm _Zm h & Eogm H$aZo na CZ C mam| H$m _y `m H$Z Zht {H$`m Om`oJm & {Z Z{b{IV `oH$ AnyU dm `m| Ho$ {bE Mma {dH$ n {XE JE h & {OZ_| go EH$ _m ghr C ma h & Cg ghr C ma H$mo MwZH$a {X`o J`o [a V WmZ _| {bI| & [20 1 = 20] 1. `{X Tn = ( 1)n V~ nXm| Ho$ _mZ Ho$ ~rM ghr g ~ Y h (A) S1 = S2 (C) S3 = S4 2. (B) S2 = S3 (D) S2 = S4 ab, bc Ed ac H$m _.gm.{d (HCF) h (A) a b c (C) 1 3. (B) a2 b2 c2 (D) ab + bc + ac Xmo g_ $n { ^wOm| Ho$ g JV ^wOmAm| H$m AZwnmV 4 : 9 h & AV CZHo$ jo \$bm| H$m AZwnmV h (A) 2 : 3 (C) 81 : 16 4. (B) 16 : 81 (D) 14 : 19 `{X 9 x = 12 + 147 hmo Vmo x H$m _mZ h (A) 12 (C) 3 5. (B) 9 (D) 3 {Z Z{b{IV _| go Aew dm ` (A) n Pn = n Cn (B) n P1 = n C1 (C) n P0 = n C0 (D) n Pn = n Pn 1 LXXX I H 01 220410 -2- P119 6. 81H {Z Z{b{IV _| go JwUZm _H$ {Vbmo_ (HP) H$m CXmhaU h (A) 1, 123 ,, 234 (B) 1, 1 , 1 , 1 369 (C) 1, (D) 1, 7. 212 ,, 325 111 ,, 479 {Z Z{b{IV _| go J a nmaJ ` (non-traversable) ZoQ>dH $ h (A) (C) 8. (B) (D) 3 , 3, 3 3 , H $_ H$m MVwW nX h (A) 9 (C) 27 3 9. (B) 21 (D) 9 3 (x + y)2, (x y)2 Am a (x2 y2) H$m b.gm.{d (LCM) h (A) (x2 + y2)2 (B) x4 y4 (C) (x2 y2)2 (D) (x + y) (x y)3 10. VrZ A H$m| H$m `moJ> Ed JwUZ\$b H $_e 0 Ed 30 h & CZHo$ KZ\$b ( `y~) H$m `moJ h (A) 0 (B) 90 (C) 160 (D) 900 LXXX I H 01 220410 -3- [P.T.O. P119 81H 11. `{X v 2 = u2 + 2as h Vmo u H$m _y ` hmoJm (A) v 2 2as (B) v 2 + 2 as (C) v 2 2as (D) 2as v2 12. dJ (X {dKmV) g_rH$aU {OgH$m _yb 1 Am a 1 h (A) ax2 x 1 = 0 (B) ax2 1 = 0 (C) x2 = 1 (D) x2 + 1 = 0 13. `{X a = 0 Vmo a ----- h 3 abc abc (A) 0 (B) 1 (C) 3 abc (D) 3 abc 14. 1! 3! 0! H$m _y ` h (A) 6 (B) 0 (C) 3 (D) 1 15. `{X ZrMo {XE JE {M _| PAO = 30 , Vmo POQ H$m _mn kmV H$a| & P A O Q (A) 60 (B) 120 (C) 90 (D) 30 LXXX I H 01 220410 -4- P119 81H 16. {Z Z{b{IV _| nyU dJ g_rH$aU h (A) 4 x = 81 x (B) (C) (x + 2)2 = 3x x+ 1 =5 x (D) 5 x2 = x 17. dJ H$m {dH$U 10 2 g._r. hmo Vmo CgHo$ ^wOm H$s b ~mB h | (A) 2 g._r. | (B) 10 g._r. | (C) 8 g._r. | (D) 20 g._r. | 18. 1 Am a 2 Ho$ ~rM JwUZm _H$ {Vbmo_ (Harmonic Mean) h (A) 1 1 2 (B) 1 1 4 (C) 1 1 3 (D) 1 2 3 19. {XE JE Omb H$m _ {Q > g h P Q 2 1 1 2 2 0 (A) 0 2 2 1 (C) 2 1 20. (B) 1 1 (D) 1 1 n n+ n =1 n (n 1) H$m _y ` h n =1 n2 2 (A) n(n 1) (B) (C) 2n2 (D) n2 LXXX I H 01 220410 -5- [P.T.O. P119 II. 81H [a V WmZm| H$s ny{V H$aVo hwE {Z Z{c{IV dm `m| H$mo nyU H$a| & [10 1 = 10] 21. `{X _ {Q > g A H$m H $_ m n h Am a _ {Q > g B H$m H $_ n p hmo Vmo _ {Q > g A B H$m H $_ ------ hmoJm & 22. EH$ {Z`{_V ~h \$b (Polyhedron), n M^yO _wIm| go gQ>r h B h dh --------- h 23. `{X P Am a Q A[a V (non-empty) goQ >g h Am a P Q = P, Vmo P Q = -------- h & 24. dh J{UVk {OgZo _yb AmZwnm{VH$ _o` ({g m V) H$m Vmd {H$`m h CgH$m Zm_ ---- h & 25. AY -d m _| ---------- H$moU hmoVm h & 26. {^ Vm Ho$ JwUm H$ H$m nVm bJmZo _| Cn`moJ {H$E OmZo dmbm gy ------- h & 27. a x + b y H$m g `moOZ -------- h & 28. {\$ gS> `mg go g ~{YV AY d m Ho$ n[aH $_U mam {ZYm [aV R>mg (KZ) ------- h & o 29. b ~ d mmH$ma ~obZ ({gbo S>a) Ho$ dH $ gVhr jo H$m nVm bJmZo _| Cn`moJ {H$`m OmZo dmbm gy --- -- h & 30. A H$J{UVr` H $_ Ho$ haoH$ nX H$m JwUZm _H$ {Vbmo_ {b`m Vmo dh H $_ ------- LXXX I H 01 220410 -6- P119 81H III. Xem E JE WmZ _| {Z Z{b{IV Zm| H$mo hb H$a| & 31. EH$ g_yh _| 25 `{ V h {Og_| 8 `{ V _m Mm` nrVo h , 7 `{ V {g\ $ H$m \$s nrVo h Am a 4 `{ V Mm` Am a H$m \$s XmoZm| nrVo h & doZ AmH ${V H$mo CVmaVo h E `o Xem E {H$ {H$VZo `{ V Z Vmo Mm` nrVo h Am a Z H$m \$s & [2] 32. `{X EH$ g_rH$aU H$m _yb px2 + 3x + 2 = 0 h Omo Xwgao H$m g e h Vmo p H$m _y ` `m h ? [2] 33. gy H$m Cn`moJ H$aVo h E x2 + 1 = 8x g_rH$aU H$mo hb H$a| & 34. VrZ g `mAm| H$m AZwnmV [2] 111 : : h `{X CZHo$ dJm] H$m `moJ 644 h Vmo CZ g `mAm| H$m nVm bJmE & 356 [2] 1 2 35. `{X A = Vmo AA H$m _y ` ~VmAmo & 3 0 [2] 36. \$moQ>moJ m\$ Ho$ {bE EH$ bmB Z _| Xmo b S>{H$`m| Am a Mma b S>H$m| H$mo ~ R>Zo H$s `d Wm H$s JB & Eogo {H$VZo AbJ-AbJ H$mam| go C h| {~R>m`m Om gH$Vm h {Og_| h_oem Xmo b S>{H$`m EH$ gmW ~ R>r hmo & [2] 37. Bg gdmb H$mo hb H$ao Am a gab ~Zm`o & [2] 3 2+2 3 3 2 2 3 38. 4 4 Ed 3 3 H$m JwUZ\$b ~Vm`| & [2] 39. EH$ Am`VmH ${V bm Q> H$s b ~mB Am a Mm S>mB H$m nVm bJm`o {OgH$m jo \$b 60 dJ _r. Ed CgH$s n[a{Y (Perimeter) 32 _rQ>a h & [2] LXXX I H 01 220410 -7- [P.T.O. P119 81H 40. E `w{_{Z`_ H$s EH$ erQ> {Ogo {M _| Xem E AmH$ma _| amob H$a e H$ ~Zm`m J`m h & `{X AB = 25 y g|._r. Ed Mmn BC = 44 g._r. hmo Vmo Bg e H$y Ho$ n[aUm_ `m Am`VZ H$mo ~Vm`o & | [2] A B C 41. ZrMo {XE JE gd}jUH$Vm H$s jo nwp VH$m go A{^boIZ hoVw `moOZm ( bmZ) H$mo V `ma H$a| & (_mZ 20 _r = 1 g._r.) | [2] D VH$ _rQ>g _| 140 120 80 go E VH$ 60 go C VH$ 100 50 40 go B VH$ A go 42. `{X U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {x : x EH$ nyU dJ g `m h Omo 10 go H$_ h } B = {x : x EH$ g_ Z g{J H$ g `m h Omo 10 go H$_ h } ~Vm`| (A B) = A B 43. JwUZm _H$ {Vbmo_ _| T7 = [2] 1 Ed T13 = 1 Vmo JwUZm _H$ n {Vbmo_ H$m W_ nX `m hmoJm &[2] 38 20 44. _ Q>r{\$Ho$eZ _moS> ybmo 10 na S = {2, 4, 6, 8} Ho$ A VJ V Ho$br H$s gmaUr H$mo V `ma H$a| & LXXX I H 01 220410 -8- [2] P119 81H 45. {Z Z{b{IV _ {Q > g hoVw AmboI (J m\$) H$mo CVm[a`o & [2] 0 2 2 2 0 1 2 1 0 46. ZrMo {XE JE KZ (gm {bS>) hoVw `wba Ho$ gy H$mo n > H$a| & [2] A C B D E F 47. 4 g|._r. H$s { `m dmbo d m _| Xmo { `mAm| H$m {M Bg H$ma CVmao {H$ CZHo$ ~rM H$m H$moU 100 hmo & { `m Ho$ {H$Zmam| na Xmo ne aIm H$mo CVma| & o [2] 48. AZwnmV e Ibm (GP) H$m W_ nX 64 h Am a gm_m ` AZwnmV r h & `{X W_ Am a MVwW nX H$m Am gV 140 hmo Vmo r H$m _y ` ~VmAm| & [2] IV. 49. `{X a + b + c = 2s hmo Vmo a 2 + b 2 c 2 + 2ab s = ~VmB ` o & 2 2 2 a b c + 2bc (s b ) [3] 50. "~mhar {~ Xw go d m _| ItMo JE neu aoIm`| g_m Va h ', {g H$a| & LXXX I H 01 220410 -9- [3] [P.T.O. P119 81H 51. {Z Z{b{IV ~ma ~maVm gmaUr Ho$ AmYma na _mZH$ {dMbZ H$s JUZm H$a| & gr.AmB . E\$ 20 - 24 2 25 - 29 3 30 - 34 5 35 - 39 3 40 - 44 [3] 2 52. EH$ {H $Ho$Q> b~ _| 16 {Ibm S>r h & {Og_| go 5 ~ bo~mO h , 4 J|X~mO Am a eof Am bamD$ S>g h & 11 {Ibm S>r`m| H$s Q>r_ H$mo Eogo {H$VZo H$ma go M`Z {H$`m Om gH$Vm h {Oggo H$s Q>r_ _| 3 ~ bo~mO, 2 J|X~mO Am a eof Am bamD$ S>g H$m M`Z {H$`m Om gHo$ & [3] 53. {Z Z H$m b.gm.{d. (LCM) ~Vm`| & (x3 9x2 + 26x 24) Am a (x3 6x2 + 11x 6) [3] 54. 2.6 _r. H$s b ~mB dmbr EH$ gr T>r {Xdma go gQ>r h B h , {Xdma H$s N>moa go O~ `o 2.4 _r. H$s Xyar na hmoVr h , V~ gr T>r H$m D$nar {h gm {Xdma H$s {I S>H$s Ho$ {ZMbo {gao H$mo Nw>Vm h & `{X gr T>r Ho$ N>moa H$mo 1.4 _r. {Xdma H$s Amoa hQ>m`m OmE Vmo `o {I S>H$s Ho$ D $Mo grao H$mo Nw>Vm h V~ {I S>H$s H$s D $MmB ~VmB`o & [3] V. w 55. `{X A H$J{UVr` e Ibm Ho$ gmVd| nX H$m 7 JZm `h `mahd| nX Ho$ 11 JwZm Ho$ ~am~a h Vmo {g H$a| {H$, Cg A H$J{UVr` e Ibm H$m 18 dm nX ey ` h & [4] 56. g_ $n { ^wOm| H$m jo \$b CZH$s g JV ^wOmAm| Ho$ dJm] Ho$ ~am~a hmoVm h & {g H$a| & [4] | 57. { `m (ao{S>`m) 3 g._r. Am a 2 g|._r. Xmo d mm| Ho$ {bE {V` H$ gm_m ` ne aoIm H$mo ItMo {Og_| CZH$m Ho$ 9 g._r. ^mJ hmo & ne aoIm H$s b ~mB H$mo _mno Am a Om M H$a| & | [4] LXXX I H 01 220410 - 10 - P119 81H 58. y = x2 Am a y = 6 x Ho$ AmboI H$mo CVmao Am a x2 + x 6 = 0 H$ g_rH$aU H$mo hb H$a| & o LXXX I H 01 220410 - 11 - [4]

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Additional Info : Karnataka SSLC (Secondary School Leaving Certificate) Hindi Medium - Karnataka Secondary Education Examination Board (KSEEB)
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