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Karnataka SSLC Tamil Medium : KSEEB Mathematics March 2010

9 pages, 58 questions, 1 questions with responses, 1 total responses,    0    0
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81T P123 - n - - P P - UP s- i - x - S - U- P : 1) 2) 3) 4) 5) I. Cx- - hz-u Ah[-Q ] z-u-P . J - - S Ai- h G - x - - u S Ch u - m- k x. u - mh Chzv h A sk . - z-xP Em- -h- z-u 58 U-P C u z-u - Ch - . -n- -P h-P- -]- G -xU Th x. -]- G u - mh h-P- US v - s u - -h- m-h x. ( - - -h , h , u\ - -h u - ). h-P- z u - u-kzx G -u s-i U-P- US E - h-P , P -imh Ch z- x - P &- C - - Aizx G - x - x, v G - x - x - A - - v U- P - h m-h x. A - \ - - mh h-P- US v - s u - -h- m-h -x. R P -kU-P - mh { u T J - - -S | S h-P u - m-k . - z-u- h- z u - u-kzx u - mh Chz-v . \ - h- , Au -S- - \US u - mh G z u Gkzx G -u . [20 x 1 = 20] 1. Tn = ( 1)n, G E - U-P- Tm-kz- u - PU-S C h- E \ - u -h - . a) b) S 2 = S3 c) 2. S1 = S2 S3 = S4 d) S 2 = S4 ab, bc ac Cu HCF a) b) a2 b2 c2 c) 3. abc 1 d) ab + bc + ac. i- zu C U- P -n[-P- Jzu U-P[-P- Q-u 4 : 9. G Cu - Q-u . a) b) 16 : 81 c) 4. 2:3 81 : 16 d) 14 : 19 9 x = 12 + 147 , G x v - a) 12 b) c) 3 d) LXXX I T 01 220410 -2- 9 3 81T P123 5. R u - mh T - Gx u - - -x Pn = nCn b) n P0 = nC0 d) n a) c) 6. n n P1 = nC1 Pn = nPn 1 -R P -kU-P - m-h- HP US E Eu - -n a) 123 ,, 234 b) 1 1, 1 , 1 , 369 c) 7. 1, 1, 212 ,, 325 d) 1, R U- Ps-h G u J S US |kU-P -Pa \ - u A - h- x. a) b) c) 8. 111 ,, 479 d) 3 , 3, 3 3 C u - \- (Sequence) | P - -x-C-hz-v J . a) b) 21 c) 9. 9 27 3 d) 93 (x + y)2, (x y)2 (x2 y2) Cu . .- . (LCM) a) (x2 + y2)2 b) x4 y4 c) (x2 - y2)2 d) (x + y) (x y)3 10. Gs-P- Tm-kz u P , U-Sz u P 0 30, G Au kUQ (Cubes) Tm-kz u - P a) 0 b) 90 c) 160 d) 900 LXXX I T 01 220410 -3- [P.T.O. 81T P123 11. v2 = u2 + 2as G , u - Cu v - 2 b) a) c) v 2 as 2 v + 2 as d) v2 - 2as 2as v2 12. S -m- -iU (quadratic) P - m-i [ P 1 1 -G- a) b) ax2 1 = 0 c) 13. ax2 x 1 = 0 x2 = 1 d) x2 + 1 = 0 a = 0 G abc a abc 3 G -x a) 0 b) 1 c) 3 abc d) 3 abc 14. 1! 3! 0! G Cu v - a) 6 b) 0 c) 3 d) 1 15. P -kU-P - mh - -hz-v PAO = 30 , G POQ = ? P O A Q a) 60 b) 120 c) 90 d) 30 16. R U Ps-h- J Pa \ - P - mh (quadratic) \ - -k 1 =5 x a) 4x = 81 x b) x+ c) (x + 2)2 = 3x d) 5 x2 = x LXXX I T 01 220410 -4- 81T P123 17. J \x- z-v m-h 10 2 - \.- , G Au U-Pz-v } a) 2 \.- b) 10 \.- c) 8 \.- d) 20 \.- 18. 1 2 US C h E - - U \ -\ (Harmonic Mean) a) 1 1 2 b) 1 1 4 c) 1 1 3 d) 1 2 3 19. P -kU-P - m-k C n - -US m- U-L (matrix). P a) 2 0 0 2 c) Q 2 1 2 1 n 2 1 1 2 d) 1 1 1 1 n n =1 b) n =1 20. n + (n 1) Cu v - a) n(n 1) II. b) n2 2 c) 2n2 d) n2 P i m- h Chz u \ - - z- u- P U P sk { - - P . [10 x 1 = 10] 21. m- U-L A - - \ m n, m- U-L B - \ n p, G m- U-L AB ________. 22. I[- P -nz-v -P[-P ` - mh - - m- (polyhedron ) ___________. 23. P Q C - u Pn[-P , P Q = P, G- P Q _________. 24. Ai - h Q-u-\ u - z u (Basic Proportionality Theorem) w - - zu Po-u- - u ____________. LXXX I T 01 220410 -5- [P.T.O. 81T P123 25. A m-hz-v P n A - _____________. 26. Sn-Pz-v - z u Ps-h- Eu- `z-v- ___________. 27. a x + b y x n - ______________. 28. { - m- h z- v ` - - Q A - m- h z- v - E - - S P E - ______. 29. u - -Pz- uU P sh E - - - - U Ps-h- Eu- `z-v- __________. 30. AP A - u -R A - _____________. III. R P - q PnU- S - P P - k U- P - mh Chz- v - S \ - P . 31. 25 E J S - 8 j m-k Si - , 7 P m-k Si - , 4 j P Si - . - -h (Venn Diagram) Gz-u P j A -u -u- -P G Ps-k- -i. [2] 32. \ - m- i J P - - p x 2 + 3 x + 2 = 0 , C x - - u R G p v - U P s-P. [2] 33. x2 + 1 = 8x `z-v z-v Eu- P sk Ca-\ - m-i w - U Ps-h P. -[2] 111 : : , C U- P - [ - P - 356 (squares) Tm-kz u P 644, G Gs-P U Ps-h- -P. [2] 34. Gs- P - Q- u [- P - 1 2 35. A = G Cu v Ps-h- P. 3 0 [2] 36. P - - h ( photograph) G k - - u - P P C s- k ] P- | S - P - J - \- A - x . C sk ] - P m- k - - A - C UP Gzu -P- -P A x P - -h GkU-P-C- - ? [2] 37. S-v Gs (denominator) Cu Q-u Gs-n P _- U-S-P. 3 2+2 3 3 2 2 3 LXXX I T 01 220410 [2] -6- 81T P123 38. 4 4 and 3 3 Cu- UQ h G -x-P. [2] 39. 60 \. - - 32 _ - - P sh \ - P i- - - (Plot) } , AP- z- uU Ps-k- -iU-P. [2] 40. K A - - - z uPm-i R U-P -q i- z u x mi Gkzx Au izx T i- - U-QU P s-k . Cv AB = 25 \. BC = 44 \. T - P A U Ps-h- -P. [2] A C B 41. { A U-S o \ - - - h { u -h - - h z-u-Pz-v v- mh - R u - m-k x. Cu S- vm-h hz u -P. (A - 20 = 1 \. ). [2] mh To D 140 120 to E 80 60 to C 100 50 40 to B From A 42. U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {x : x 10 I -hU S u \ - U-P } B = {x : x 10 I -hU S u C m h C Gs } ( ) = G - u { - U-P. LXXX I T 01 220410 -7- [2] [P.T.O. 81T P123 43. HP T7 = Ps-h- -P. 1 1 T13 = G- H.P. u Chz-v - u 20 38 [2] 44. U-P -k- (modulo) 10 x S = {2, 4, 6, 8} P sk P - (Cayley s) Am-h- - n- z u - U-P. [2] 45. R U-P -q m- U-L P sk - -h -P.(Graph) [2] 0 2 2 2 0 1 2 1 0 46. R U-P -q P E- - z u P sk - (Euler s) `z-v- z u { - -n \ -P. [2] A B C D E F 47. 4 \. , B P sh m-h-zv , 100 P n C h- - - 2 B [-P -P. B [-P i Chz-v C sk u k P -kP (Tangents) -P. [2] 48. GP u E 64 x Q-u r . -u E - U-S | - P - x E - U- S C h \ - \ 1 40 G , r v [2] Ps-h- -P. IV. 49. a + b + c = 2s G Cu { - z-xP P m-k-P. s a 2 + b 2 c 2 + 2 ab = . (s b ) a 2 b 2 c 2 + 2bc LXXX I T 01 220410 -8- [3] 81T P123 50. m-hz-v S - E - - U P sk mhz-v- S - - -k u k P -k-P \ - - G - -u { - U-P. [3] 51. R U-P -q Gs Am-h- - n- U P sk Au -P vm-h- - U-Pz- uU Ps-h- -P. [3] C.I f 20 24 2 25 29 3 30 34 5 35 39 3 40 44 2 52. J Q U- Pm \[-Pz-v C U-S 16 Bm-hU-P - -P- 5 m- h- u Ai - - -P , 4 x G - - -P v C - - - -P A z-x u -u -P . Cv 3 m- h- x A-i - - -P , 2 x G - - -P v- A z-x u -u- -P G zx 11 | P Gz-u -P- u \ - - ? [3] 53. (x3 9x2 + 26x 24) (x3 6x2 + 11x 6) Cu . . (L.C.M.) Ps-h- -P. [3] 54. 2.6 m-h E - - Ho _ - \ zx { z-u - mk x. Ho- - -x_- - Ai - -S-v- - - x. 2.4 m-h u - - { z-v- Ax _ -E \ - - Ai ~ - u -k Ho- Ai - -Sv 1.4 m-h _ | U-Q |P z-u - -i Ho- - x \ - - Ea] ~ - z- u- k . C - - x \ - - E - z- uU PnU-Q-k-P. [3] V. 55. A.P. E 7 x E - 7 h[S, 11 x E - 11 h[-Q -S \ - -S G 18 x E 0 US \ -G { - U-P. [4] 56. i- zu U- P -n[-P- - - - x Jzu U-P[-P- U-Pz-v Q-uz-x-h Jz-v- U-S . { - U-P. [4] 57. C mh[-P- B [-P - 3 \. 2 \. C m-h[-P- - - -P- US C h- y 9 \. . Cu- U P sk -x , S U-Sz u -k- P k -P. u k P m-i } z u A x Au \ - UP . [4] LXXX I T 01 220410 -9- [P.T.O. 81T P123 58. y = x2 y = 6 x C x2 + x 6 = 0 G - -v w P sP. Cu -S- - - -h (Graph) -P. [4] LXXX I T 01 220410 - 10-

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