neu«:2.30 kâ nkšãiy Kjyh«M L fâjéaš kâ bg :90 khâç édh jhÿ gfâ-i mid J édh fs F«éilaë fî«. rçahd éilia nj ªbjL J vgjî«. 1. 2x3 tçiríila xu mâæš cÿs cw òfë v â if (m) 5 (M) 2 (Ï) 3 (<) 6 2. A v gj 4 tçiríila rju mâ våš v gj (m)k (M)K 2 (Ï)K 3 (<)K 4 3. ABC v w K nfhz  G v gj el rªâ. O v gj VnjD«xU òÿë våš + + = (m) (M) (Ï) 3 (<)4 4. =2 k W«= - våš - - k lhdj (m) 1 (M)9 (Ï)3 (<) 5. xu gy nfhz  F 44 _iyé l fÿ cÿsbjåš mj g f fë v â if (m) 11 (M)7 (Ï)8 (<)12 6. = _ våš A-æ kâ ò (m)13 (M)-13 (Ï)-10 (<) 10 7. a,b M»at A.M., G.M., H.M., M»ait rkkhf ÏU à (m) a=b (M)ab=1 (Ï)a > b (<) a < b 8. a n = n 2 3 n - 3 tj cw ghdj (m) (M) 1 (Ï) (<) 3 9. ax 2 +2hxy+by 2 =0 v w rk gh ilíila nrhoahd ne nfhlfÿ x W bfh W br F J våš, (m) ab=0 (M) a+b=0 (Ï) a-b=0 (<) a=0
10. x 2 +y 2-2x+4y-4=0 v w rk gh oidíila t l  Mu«(m) 1 (M)2 (Ï)3 (<)4 11. =0 våš - bghj Ô thdj (m) n (M) (2n+1) (Ï) (<)-n 12. KoÎ g fk«bjhl f g fk«xnu ne nfh oš vâ Âiræš mikªjhš mt Ïil g l nfhz«(m) 0 (M) 90 (Ï)180 (<)270 13. log e x -v w rh à Šrf«(m) (0, ) (M) (-, ) (Ï) (-, 0) (<) [0, ) 14. 3.5 - kâ ò (m) 2 (M) 3 (Ï) 4 (<) 5 15. = (m) (M) ) Ï) (<) 16. = (m) e (M) e x (Ï)e 3 (<) 17. (m) +c (M) +C (Ï ) (<) 18. = (m) e 2x (2sin 3x - 3 cos 3x)+c 13 13 (Ï) e 2x (2sin 3x + 3 cos 3x)+c 13 13 (M) e 2x (3sin 2x - 2 cos 2x)+c (<) e 2x (3cos 3x + 2 sin 3x)+c 19. A k W«B Ïu L«rhuh ãfœ ÁfŸ våš P(A/B)= ------------ (m) P(A) (M) P(AՈB) (Ï) P(A)=P(B) (<) P(A) P(B) 20. X, Y v gt fÿ Kiwna 95, 80 rjåj š c ik ngrth fshæ Ïu L ngu«xutu bfhut kh ngr Toa rjåj msî (m)14% (M)86% (Ï) 23% (<)85.5%
gfâ-ii vitnad«vg édh fs F éilaë fî«. 7 x 2 =14 édh v.30 F f lha«éilaë fî«2 21. 2 2 a 1 b 1 = a 1 a 2 a 1 b 1 + a 2 b 2 a 2 b 2 a 1 b 1 + a 2 b 2 b 2 2 1 + b 2 22. ABC k W«A B C v w ÏU K nfhz fë el nfh L rªâfÿ Kiwna G G Mf ÏU à + + =3 23. 10P r = 5040 våš r- kâ ò fh. 24. (1, -4) v w òÿëæèuªj v bghgj«6 myf öu š ÏU F«òŸëæ Ïa Ftiuæ rk ghl fh f. 25. kâ ò fh : Cos (-870 ) 26. f,g : R R v w rh òfÿ f(x)=x+1, g(x)=x 2 vd tiuaw f gl»wbjåš (fog) (3)- kâ ò fh f. 27. y=x 3-6x 2 +7x+6 våš d 2 y - kâ ò fh. dx 2 28. - kâ ò fh. 29. _ W ehza fÿ xu Kiw R l gl»wj. FiwªjJ Ïu L jiyfÿ»il gj fhd ãfœjfî fh f. 30. gfâ-iii 7x3=21 vitnad«vg édh fs F éilaë fî«, mt š édh v.40 F f lha«éilaë fî«. 31. xu K nfhz  c Á òÿëfëèuªj mj F vâ g f fë el òÿëfis neh» tiua gl«bt l fë TLjš ó{ía«vd ãwîf. 32.
- éçth f š x 5 - Fzf ij fh f. 33. 576 k W«9 M»at F Ïil g l 5 bgu F ruhrçfis fh f. 34. ax 2 +2hxy+by 2 =0 vd«mâtê bršy«ïu il ne nfhlfëš x rhœî k wâ rhœit nghy Ïu L kl F våš 8h 2 =9ab 35. ã%ã f : Sin20 o Sin40 Sin 80 = 36. f: R R v w rh ò f (x) = 3x+2 vd tiuaw à -I fh f. nky«fo = of=i vdî«ã%ã f. 37. kâ ÃLf : Lim x 0 Sin -1 x 38. bjhif fh f. dx 39. 52 Ó LfŸ bfh l xu Ó L f oèuªj Ïu L Ó LfŸ x w à x whf cut gl»wj. Ïu Lnk murdhf»il gj fhd ãfœjféid à tu«ãgªjidfë go fh f. (m) Kjèš cuéa Ó L Û L«it f gl»wj. (M) Kjèš cuéa Ó L f oš Û L«it f gléšiy. 40. A = k W«våš K kâ ò fh f gfâ-iv mid J édh fs F«éilaë fî«. 7x5=35 41. fhuâ Kiwia ga gl  (b+c) 2 a 2 a 2 b 2 (c+a) 2 b 2 = 2abc (a+b+c) 3 c 2 c 2 (a+b) 2 +3 +, 2 -, 7 +5 v w bt l fÿ xnu js bt l fsh v gjid rçgh fî«. 42. våš = 2 v W ãwîf. ÏÂèUªJ kâ ig fh f.
ne Ãaç N Âu ij vgâ ã%ã fî«. 43. fâj bjhf j jš _y«ã%ã fî«. 1 2 +2 2 +3 2 +...+n 2 = n(n+1) (2n+1),for all n N 6 a,b,c M»ait H.P-š ÏU à + = 2 44. (1,1), (2,-1) k W«(3,2) v w òÿëfÿ têahf bršy Toa t l  rk ghl fh f. 45. x y 5 = 0, 2x y 8 = 0 k W«3x y 9 = 0 M»a ne nfhlfis g f fshf bfh l K nfhz  br nfh L ika ij fh f y = cos (sinx) våš, vd ãwîf n xu é»jkw v zhf ÏUªJ < 1 vd ÏU à =na n-1 (aǂ0) 46. v w tiuaw j bjhifæid T L bjhifæ všiyahf fh f. bjhif fh f : 47. x xu bkœba våš f(x) = = x 2-2x+4 v w rh à Šrf«[, 3] vd ã%ã. x 2 +2x+4 ÂUFfŸ c g  brœí«bjhê rhiy x š ÏaªÂu fÿ A 1, A 2, A 3 Kiwna 25%, 35%, k W«40% c g  brœ» wd. mt bkh j c g Âæš 5%, 4%, 2% ÂUFfŸ FiwÍŸsjhf fhz gl» wd. c g ÂæèUªJ, rkthœ ò Kiwæš xu ÂUF vl f gl«nghj, mj FiwÍŸsjhf fhz gl»wj. mj ÏaªÂu«A 2 -thš c g  brœa g lj v gj fhd ãfœjfî v d? -------