gj;jhk; tfg;g fzpjk; - edu.newsbundles.comย ยท ๐ ) 2 โ 8 + 12 = 0 ๐๐ ) 2 2 โ3 + 4 = 0 ,...
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![Page 1: gj;jhk; tFg;G fzpjk; - edu.newsbundles.comย ยท ๐ ) 2 โ 8 + 12 = 0 ๐๐ ) 2 2 โ3 + 4 = 0 , ๐๐๐ ) 9 2 + 12 + 4 = 0 ๐๐ฃ ) 2 โ 11 โ10 = 0 , ๐ฃ ) 2 2 + 5](https://reader030.vdocuments.site/reader030/viewer/2022040402/5e7d312012e56a510352eda8/html5/thumbnails/1.jpg)
X โ MATHS QUESTION BANK Page 1
โ fzf;Ffs; nra;tjpd; %yk; fzpjj;ijf; fw;Nghk; "
gj;jhk; tFg;G
fzpjk;
tpdh - tq;fp jahhpg;G :
rp.rf;jpNty; , M.Sc.,B.Ed.,
gl;ljhhp Mrphpah; ,
muR Nky; epiyg; gs;sp,
,uhkpak;gl;b, โ 635 302
ghg;gpnul;bg;gl;b, ( tl;lk; )
jh;kGhp . ( khtl;lk; )
njhiyNgrp vz; : 94439 50993
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X โ MATHS QUESTION BANK Page 2
Kf;fpa ,uz;L kjpg;ngz; tpdhf;fs;
ghlk; : 1. fzq;fSk; rhh;GfSk;
1. ๐ด = โ10 , 0 , 1 , 9 , 2 , 4 , 5 , ๐ต = โ1 ,โ2 , 5 , 6 , 2 , 3 vd;w fzq;fSf;F gpd;tUtdtw;iw rhpghh;.
i ) fzq;fspd; Nrh;g;G ghpkhw;Wg;; gz;G cilaJ. ii ) fzq;fspd; ntl;L ghpkhw;Wg;; gz;G cilaJ.
2. A = 1 , 2 , 3 , 4 , 5 , B = 3 , 4 , 5 , 6 , C = { 5 , 6 , 7 , 8 } vdpy; A โช B โช C = A โช B โช C vd;gijr; rhpghh;.
3. A = { a , b , c , d } B = { a , c , e } kw;Wk; C = { a , e } vdpy; A โฉ B โฉ C = A โฉ B โฉ C vd;gijr; rhpghh;.
4. A โ B vdpy; A โช B = B vdf; fhl;Lf. ( ntz;glj;ij gad;gLj;jTk; )
5. A โ B vdpy; A โฉ B kw;Wk; A โฅ B Mfpatw;iwf; fhz;f. ( ntz;glj;ij gad;gLj;jTk; )
6. ntz;glq;fis gad;gLj;jp A โฉ B โช A \ B = A vd;gijr; rhpghh;.
7. A , B kw;Wk; C Mfpa %d;W fzq;fSf;F gpd;tUtdtw;iw tpsf;Fk; ntz;glq;fs; tiuf.
i A โฉ B โฉ C ii A kw;Wk; ๐ต vd;gd C - d; cl;fzq;fs;.NkYk; mit ntl;lhf; fzq;fs;.
iii A โฉ B \ C iv B โช C \ A v A โช B โฉ C vi C โฉ B โช A
8. nfhLf;fg;gl;Ls;s f = 1 , 3 , 2 , 5 , 4 , 7 , 5 , 9 , 3 , 1 vDk; rhh;gpw;F kjpg;gfk; kw;Wk; tPr;rfk; Mfpatw;iwf; fhz;f.
9. ๐ = 12 , 2 , 13 , 3 , 15 , 3 , 14 , 2 , 17 , 17 vd;w rhh;gpy; 2 kw;Wk; 3 Mfpatw;wpd; Kd; cUf;fisf; fhz;f.
10. ๐ = ๐ , โ2 , โ5 , ๐ , 8 , ๐ , ๐ , โ1 vd;gJ rkdpr; rhh;ig Fwpf;fpwJ vdpy; a , b , c kw;Wk; d Mfpatw;wpd; kjpg;igf;
fhz;f.
ghlk; : 2. nka;naz;fspd; njhlh;thpirfSk; njhlh;fSk;
11. xU $l;Lj;njhlh;thpirapd; Kjy; cWg;G 6 kw;Wk; nghJ tpj;jpahrk; 5 vdpy; mj;njhlh;thpirAk;
mjd; nghJ cWg;igAk; fhz;f.
12. 125 , 120 , 115 , 110 , .......... vd;w $l;Lj; njhlh;thpirapd; nghJ tpj;jpahrj;ijAk; 15 tJ cWg;igAk; fhz;f.
13. 2 , 3 3 , 5 3 vd;w $l;Lj;njhlh; thpirapd; 12 tJ cWg;G ahJ?
14. 4 , 9 , 14 , .......... vd;w $l;Lj;njhlh; thpirapd; 17 tJ cWg;G ahJ?
15.13 My; tFgLk; <hpyf;f kpif KO vz;fspd; vz;zpf;ifiaf; fhz;f.
16. 5 + 11 + 17 + .......... + 95 vd;w $l;Lj;njhlhpd; $Ljy; fhz;f.
17. 1 + 2 + 3 + ............ + 45 d; $Ljy; fhz;f.
18. 2 + 4 + 6 + .......... + 100 d; $Ljy; fhz;f.
19. 7 + 14 + 21 + ........... + 490 d; $Ljy; fhz;f.
20. 12 + 2 2 + โฆโฆโฆ . . + 25 2 d; $Ljy; fhz;f.
21. 13 + 2 3 + โฆโฆโฆ . . + 20 3 d; $Ljy; fhz;f.
ghlk; : 3.,aw;fzpjk;
22. njhFKiw tFj;jiy gad;gLj;jp gpd;tUtdtw;wpd; <T , kPjp fhz;f.
i ) ( ๐ฅ 3 + ๐ฅ 2 โ 3๐ฅ + 5 ) รท ( ๐ฅ โ 1 ) ii ) ( 3๐ฅ 3 โ 2๐ฅ 2 + 7๐ฅ โ 5 ) รท ( ๐ฅ + 1 ) ) ๐๐๐ ) ( ๐ฅ 3 + ๐ฅ 2 โ 7๐ฅ โ 3 ) รท ( ๐ฅ โ 3 )
23. ๐ฅ 3 โ 6๐ฅ 2 + 11๐ฅ โ 6 vd;w gy;YWg;Gf; Nfhitf;F ( ๐ฅ โ 1 ) xU fhuzpah vd Muha;f.
24. ๐ฅ 3 + 6๐ฅ 2 + 11 + 6 vd;w gy;YWg;Gf; Nfhitf;F ( ๐ฅ + 1 ) xU fhuzpah vd Muha;f.
25. RUf;Ff .6๐ฅ2โ 54
๐ฅ 2 + 7๐ฅ + 12
26. RUf;Ff. ๐ฅ 3โ 27
๐ฅ 2 โ 9
27. RUf;Ff ๐ฅ
๐ฅ + 1 รท
๐ฅ 2
๐ฅ 2โ 1
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X โ MATHS QUESTION BANK Page 3
28. 7 + 3 kw;Wk; . 7 โ 3 Mfpatw;iw %yq;fshff; nfhz;l ,Ugbr; rkd;ghl;bid mikf;f.
29. RUf;Ff .6๐ฅ2+ 9๐ฅ
3๐ฅ 2โ 12๐ฅ
30. xU ,Ugb gy;YWg;Gf; Nfhitapd; G+r;rpaq;fspd; $Ljy ; โ 4 kw;Wk; mjd; ngUf;fw;gyd; 3 vdpy; mf;Nfhitiaf; fhz;f.
31. xU ,Ugb gy;YWg;Gf; Nfhitapd; G+r;rpaq;fspd; $Ljy; 1
3 kw;Wk; mjd; ngUf;fw;gyd; โ
1 3
vdpy; mf;Nfhitiaf; fhz;f.
32. gpd;tUk; rkd;ghLfspd; %yq;fspd; jd;ikiaf; fhz;f.
๐ ) ๐ฅ 2 โ 8๐ฅ + 12 = 0 ๐๐ ) 2๐ฅ 2 โ 3๐ฅ + 4 = 0 , ๐๐๐ ) 9๐ฅ 2 + 12๐ฅ + 4 = 0 ๐๐ฃ ) ๐ฅ 2 โ 11๐ฅ โ 10 = 0 , ๐ฃ ) 2๐ฅ 2 + 5๐ฅ + 5 = 0
ghlk; : 4.mzpfs;
33. ๐ด = 8 51 โ3
24
vdpy; ๐ด ๐ kw;Wk; ๐ด ๐ ๐
Mfpatw;iwf; fhz;f.
34. ๐ด = 2 34 1 5 0
vdpy; A โ d; epiu epuy; khw;W mzpiaf; fhz;f.
35. ๐ฅ 5 45 9 1
= 3 5 ๐ง5 ๐ฆ 1
vdpy; x , y kw;Wk; z Mfpatw;wpd; kjpg;G fhz;f.
36. A = 5 6 โ21 0 4
32
kw;Wk; B = 3 โ1 42 8 2
73
vdpy; A + B If; fhz;f.
37. A = 2 3
โ9 5 โ
1 57 โ1
vdpy; A โ d; $l;ly; Neh;khW mzpiaf; fhz;f.
ghlk; : 5.Maj;njhiy tbtpay;
38. ( - 6 , 4 ) kw;Wk; ( 2 , 6 ) Mfpa Gs;spfis ,izf;Fk; Nfhl;Lj; Jd;bd; eLg;Gs;sp fhz;f.
39. ( 3 , 0 ) kw;Wk; ( - 1 , 4 ) Mfpa Gs;spfis ,izf;Fk; Nfhl;Lj ;Jd;bd; eLg;Gs;sp fhz;f.
40. ( 1 , - 1 ) kw;Wk; ( - 5 , 3 ) Mfpa Gs;spfis ,izf;Fk; Nfhl;Lj; Jd;bd; eLg;Gs;sp fhz;f.
41. ( 0 , 0 ) kw;Wk; ( 0 , 4 ) Mfpa Gs;spfis ,izf;Fk; Nfhl;Lj; Jd;bd; eLg;Gs;sp fhz;f.
42. xU tl;lj;jpd; ikak; ( - 6 , 4 ) mt;tl;lj;jpd; xU tpl;lj;jpd; xU Kid Mjpg;Gs;sp vdpy; kw;nwhU Kidiaf; fhz;f.
43. A ( 4 , - 6 ) , B ( 3 , - 2 ) kw;Wk; C ( 5 , 2 ) Mfpatw;iw cr;rpfshff;nfhz;l Kf;Nfhzj;jpd; eLf;Nfhl;L ikak; fhz;f.
44. ( 1 , 3 ) , ( 2 , 7 ) kw;Wk; ( 12 , -16 ) Mfpatw;iw cr;rpfshff;nfhz;l Kf;Nfhzj;jpd; eLf;Nfhl;L ikak; fhz;f.
45. ( 3 , 5 ) , ( - 7 , 4 ) kw;Wk; ( 10 , - 2 ) Mfpatw;iw cr;rpfshff; nfhz;l Kf;Nfhzj;jpd; eLf;Nfhl;L ikak; fhz;f.
46. ( 3 , 5 ) , ( 8 , 10 ) Mfpa Gs;spfis ,izf;Fk; Nfhl;Lj; Jz;il cl;Gwkhf 2 : 3 vd;w tpfpjj;jpy; gphpf;Fk; Gs;spiaf; fhz;f.
47. ( 3 , 4 ) , ( - 6 , 2 ) Mfpa Gs;spfis ,izf;Fk; Nfhl;Lj;Jz;il ntspg;Gwkhf 3 : 2 vd;w tpfpjj;jpy; gphpf;Fk; Gs;spiaf;
fhz;f.
fPo;f;fz;l Gs;spfis Kidfshff; nfhz;l Kf;Nfhzq;fspd; gug;G fhz;f.
48. 1 , 2 , โ3 , 4 kw;Wk;;; โ5 , โ6
49. 0 , 0 , 3 , 0 kw;Wk; 0 , 2
50. 5 , 2 , 3 , โ5 kw;Wk; ( โ5 , โ1 )
51. โ4 ,โ 5 , 4 , 5 kw;Wk; ( โ1 , โ6 )
thpirapy; mike;j Kf;Nfhzj;jpd; KidfSk; mit mikf;Fk; Kf;Nfhzj;jpd;
gug;gsTfSk; fPNo nfhLf;fg;gl;Ls;sd. xt;nthd;wpYk; a โ tpd; kjpg;G fhz;f.
t.vz; Kidfs; gug;G
52 6 , 7 , โ4 , 1 kw;Wk; ( ๐ , โ๐ ) 68 r.m
53 0 , 0 , 4 , ๐ kw;Wk; ( 6 , 4 ) 17 r.m
54 ๐ , ๐ , 4 , 5 kw;Wk; ( 6 , โ1 ) 9 r.m
55 9 , โ3 , 3 , ๐ kw;Wk; ( โ1 , 5 ) 12 r.m
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X โ MATHS QUESTION BANK Page 4
gpd;tUk; Gs;spfs; xNu Nfhl;by; mikAk; Gs;spfsh vd Muha;f.
56. ๐ด 2 , 3 , ๐ต 4 , 0 kw;Wk; ๐ถ 6 , โ3
57. 4 , 3 , 1 , 2 kw;Wk; ( โ2 , 1 )
58. โ2 , โ 2 , โ6 , โ2 kw;Wk; ( โ2 , 2 )
fpNo nfhLf;fg;gl;l Gs;spfs; xU Nfhliktd vdpy; k โ d; kjpg;G fhz;f.
59. ๐ , โ1 , 2 , 1 kw;Wk; ( 4 , 5 )
60. 2 , โ5 , 3 , โ4 kw;Wk; 9 , ๐
61. ๐ , ๐ , 2 , 3 kw;Wk; ( 4 , โ1 )
55. rha;Tf; Nfhzk; 45 0 kw;Wk; y โ ntl;L
2
5 vdf;nfhz;l Neh;f;Nfhl;bd; rkd;ghL fhz;f.
62. rha;Tf; Nfhzk; 60 0 kw;Wk; y โ ntl;L 3 vdf;nfhz;l Neh;f;Nfhl;bd; rkd;ghL fhz;f.
63. rha;T - 3 kw;Wk; y โ ntl;L 4 vdf;nfhz;l Neh;f;Nfhl;bd; rkd;ghL fhz;f.
64. gpd;tUk; tptuq;fSf;F Neh;NfhLfspd; rkd;ghL fhz;f.
i ) rha;T โ 4 , ( 1 , 2 ) vd;w Gs;sptopr; nry;fpwJ. ii ) rha;T
2
3 , ( 5 , - 4 ) vd;w Gs;sp topr; nra;fpwJ.
65. gpd;tUk; Neh;f; NfhLfspd; rha;T kw;Wk; y ntl;Lj;Jz;L Mfpadtw;iwf; fhz;f.
๐ ) ๐ฆ = ๐ฅ + 1 ๐๐ ) 5๐ฅ = 3๐ฆ ๐๐๐ ) 4๐ฅ โ 2๐ฆ + 1 = 0 ๐๐ฃ ) 10๐ฅ + 15๐ฆ + 6 = 0
66. gpd;tUk; Gs;spfs; topr;nry;Yk; Neh;f;Nfhl;bd; rkd;ghL fhz;f.
๐ ) โ2 , 5 , 3 , 6 ๐๐ ) 0 , โ 6 , ( โ8 , 2 )
66. x โ mr;rpypUe;J 5 myFfs;J}uj;jpy; cs;sJk; x โ mr;rpf;F ,izahdJkhd Neh;f;Nfhl;bd; rkd;ghL fhz;f.
67. ( - 5 , - 2 ) vd;w Gs;sp topr;nry;tJk; Ma mr;RfSf;F ,izahdJkhd Neh;f;Nfhl;bd; rkd;ghL fhz;f.
68.gpd;tUk; Neh;f;NfhLfspd; rha;Tfisf; fhz;f
i ) 3x + 4y โ 6 = 0 ii ) y = 7x + 6 iii ) 4x = 5y + 3
69. 3x + 2y โ 12 = 0 , 6x + 4y =8 = 0 Mfpa Neh;f;NfhLfs; xd;Wf;nfhd;W ,iz vd epWTf.
70. x + 2y + 11 = 0 , 3x + 6y + 2 = 0 Mfpa Neh;f;NfhLfs xd;Wf;nfhd;W ,iz vd epWTf.
71. x + 2y + 1 = 0 , 2x โ y + 5 = 0 Mfpa Neh;f;NfhLfs; xd;Wf;nfhd;W nrq;Fj;J vd epWTf.
72. 5x โ 2y โ 9 = 0 , ay + 2x โ 11 = 0 Mfpa Neh;f;NfhLfs; xd;Wf;nfhd;W nrq;Fj;J vdpy; a โ tpd; kjpg;G fhz;f.
ghlk; : 6.tbtpay;
73. โ ๐ด๐ต๐ถ y; ๐ท๐ธ โ ๐ต๐ถ kw;Wk;
๐ด๐ท
๐ท๐ต=
2
3 AE = 3.7 nr.kP vdpy; EC - If; fhz;f.
74. D kw;Wk; E Mfpa Gs;spfs; KiwNa gf;fq;fs; AB kw;Wk; AC fspy; ๐ท๐ธ โ ๐ต๐ถ vd;wpUf;FkhW mike;Js;sd.
i ) AD = 6 nr.kP , DB = 9 nr.kP kw;Wk; AE = 8 nr.kP vdpy; AC โ fhz;f.
ii ) AD = 8 nr.kP , AB = 9 nr.kP kw;Wk; AE = 12 nr.kP vdpy; CE โ fhz;f.
75. AD vd;gJ โ ๐ด๐ต๐ถ โ y; โ ๐ด d; cl;Gw Nfhz ,Urkntl;b.mJ BC I D - y; re;jpf;fpwJ.
i ) ๐ต๐ท = 2 nr.kP ๐ด๐ต = 5 nr.kP ๐ท๐ถ = 3 nr.kP vdpy; AC โ fhz;f.
ii ) AB = 5.6 nr.kP AC = 6 nr.kP DC = 3 nr.kP vdpy; BC โ fhz;f.
76. gpd;tUtdtw;Ws; AD vd;gJ โ๐ด๐ต๐ถ y; โ ๐ด d; Nfhz ,Urkntl;b MFkh vdr; Nrhjpf;f.
i ) AB = 4 nr.kP AC = 6 nr.kP BD = 1.6 nr.kP kw;Wk; CD = 2.4 nr.kP
ii ) AB = 6 nr.kP AC = 8 nr.kP BD = 1.5 nr.kP kw;Wk; CD = 3 nr.kP
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X โ MATHS QUESTION BANK Page 5
77.fPo;f;fhZk; xt;nthU glj;jpYk; x โ d; kjpg;G fhz;f.
78. xU tl;lj;jpy; AB , CD vd;Dk; ,U ehz;fs; xd;iwnahd;W cl;Gwkhf P โ y; ntl;bf;nfhs;fpwJ vdpy;
i ) CP = 4 nr.kP AP = 8 nr.kP PB = 2 nr.kP vdpy; PD fhz;f.
ii ) AP = 12 nr.kP AB = 15 nr.kP NkYk; CP = PD vdpy; CD โ iaf; fhz;f.
79. xU tl;lj;jpy; AB , CD vd;Dk; ,U ehz;fs; xd;iwnahd;W ntspg;Gwkhf P โ y; ntl;bf;nfhs;fpwJ vdpy;
i ) AB = 4 nr.kP BP = 5 nr.kP kw;Wk; PD = 3 nr.kP vdpy; CD โ iaf; fhz;f.
ii ) BP = 3 nr.kP CP = 6 nr.kP kw;Wk; CD = 2 nr.kP vdpy; CD โ iaf; fhz;f.
80. โ PQR โ d; gf;fq;fs; PQ kw;Wk; PR โ fspd; kPJ mike;j Gs;spfs; S kw;Wk; T vd;f. NkYk; ๐๐ โ ๐๐ , PR = 5.6 nr.kP kw;Wk;
๐๐
๐๐=
3
2 vdpy; PT fhz;f.
ghlk; : 7.Kf;Nfhztpay;
80. ๐๐๐ ๐
๐ถ๐๐ ๐๐ ๐ +
๐ถ๐๐ ๐
๐๐๐ ๐= 1 vd;w Kw;nwhUikia epWTf.
81. 1 โ ๐ถ๐๐ ๐1 + ๐ถ๐๐ ๐
= ๐ถ๐๐ ๐๐ ๐โ๐ถ๐๐ก ๐ vd;w Kw;nwhUikia epWTf.
82. 1 โ ๐๐๐ ๐
1 + ๐๐๐ ๐ = ๐๐๐ ๐ โ ๐ก๐๐ ๐ vd;w Kw;nwhUikia epWTf.
83. ๐ถ๐๐ 2 ๐ + ๐๐๐ 2 ๐ = 2 + ๐๐๐ ๐ vd;w Kw;nwhUikia epWTf.
84. ๐ถ๐๐ก 2 ๐ + ๐ถ๐๐ ๐ = ๐๐๐ 2 ๐ vd;w Kw;nwhUikia epWTf.
85. 200 kP ePsKs;s E}ypdhy; xU fhw;whb fl;lg;gl;L gwe;Jnfhz;bUf;fpwJ. me;j E}y; jiukl;lj;Jld; 30 0 Nfhzj;ij
Vw;gLj;jpdhy; fhw;whb jiukl;lj;jpypUe;J vt;tsT cauj;jpy; gwf;fpwJ vdf; fhz;f.
( ,q;F E}y; xU Neh;f;Nfhl;by; cs;sjhf fUJf )
86. Rthpy; rha;j;J itf;fg;gl;l xU VzpahdJ jiuAld; 60 0 Nfhzj;ij Vw;gLj;JfpwJ. Vzpapd; mb Rtw;wpypUe;J 3.5 kP
J}uj;jpy; cs;sJ vdpy; Vzpapd; ePsj;ij fhz;f.
87. 30 kP ePsKs;s xU fk;gj;jpd; epoypd; ePsk; 10 3 kP vdpy; #hpadpd; Vw;wf; Nfhzj;ij ( jiu kl;lj;jpypUe;J Vw;wf; Nfhzk; )
mstpidf; fhz;f.
88. cauk; 150 nr.kP cs;s xU rpWkp xU tpsf;Ff; fk;gj;jpd; Kd;epd;wthW 150 3 nr.kP ePsKs;s epoiy Vw;gLj;Jfpwhs; vdpy;
tpsf;Ff; fk;gj;jpd; cr;rpapd; Vw;wf;Nfhzj;ijf; fhz;f.
ghlk; : 8.mstpay;
89. kuj;jpdhyhd xU jpd;kf; $k;gpd; mbr;Rw;wsT 44 kP kw;Wk; mjd; cauk; 12 kP vdpy; mj;jpd;kf; $k;gpd; fdmsitf; fhz;f.
90. xU jpd;k Neh;tl;l cUisapd; Muk; 14 nr.kP kw;wk; cauk; 8 nr.kP vdpy; tisgug;G kw;Wk; nkhj;j gug;G Mfpatw;iwf; fhz;f.
91. 98.56 r.nr.kP Gwgug;Gf; nfhz;l xU jpd;kf; Nfhsj;jpd; Muj;ijf; fhz;f.
92. xU ,ilf;fz;l tbtpyhd thspapd; Nkw;Gw kw;Wk; mbg;Gw Muq;fs; KiwNa 15 nr.kP kw;Wk; 8 nr.kP .NkYk; mjd;
Mok; 63 nr.kP vdpy; mjd; nfhs;ssit ypl;lhpy; fhz;f. ฯ = 22
7
93. xU Neh;tl;l cUisapd; tisgug;G 704 r.nr.kP kw;Wk; mjd; cauk; 8 nr.kP vdpy; mt;TUisapd; fd msitf; fhz;f.
94. xU Nfhsj;jpd; fdmsT mjd; Gwg;gug;Gf;Fr; rkk; vdpy; mjd; tpl;lj;ijf; fhz;f.
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X โ MATHS QUESTION BANK Page 6
95. xU jpd;kf; $k;gpd; Muk; kw;Wk; rhAauk; KiwNa 20 nr.kP kw;Wk; 29 nr.kP vdpy; mj;jpd;kf; $k;gpd; fd msitf; fhz;f.
96. cUisapd; Muk; 14 nr.kP cauk; 8 nr.kP vdpy; cUisapd; fd msitf; fhz;f.
97. xU jpz;k miuf;Nfhsj;jpd; nkhj;jGwgug;G 675 ๐ r.nr.kP vdpy; mjd; tisgug;G fhz;f.
98. xU jpd;k cUisapd; Muk; 14 nr.kP kw;Wk; cauk; 30 nr.kP vdpy; cUisapd; fd msitf; fhz;f.
99. 448 ๐ f.nr.kP fdmsT nfhz;l xU jpz;k Neh;tl;l cUisapd; cauk; 7 nr.kP mt;TUisapd; tpl;lj;ijf; fhz;f.
100. xU jpz;k Neh;tl;l cUisapd; Muk; 7 nr.kP kw;Wk; cauk; 20 nr.kP vdpy;
i ) cUisapd; tisgug;G ii ) cUisapd; nkhj;jg; gug;G fhz;f.
101. 8.4 nr.kP tpl;lk; nfhz;l xU Nfhstbt jpz;k cNyhf vwpFz;bd; fd msitf; fhz;f.
102. 62.37 f.nr.kP fd msTf; nfhz;l xU jpz;k Neh;tl;l cUisapd; cauk; 4.5 nr.kP vdpy; mt;TUisapd; Muj;ij fhz;f.
103. xU jpz;k Neh;tl;l cUisapd; fd msT 98 ๐ f.nr.kP kw;Wk; mjd; cauk; 8 nr.kP vdpy; mt;TUisapd; tisgug;ig fhz;f.
104. xU jpz;k miuf;Nfhsj;jpd; tisgug;G 2772 r.nr.kP vdpy; mjd; nkhj;jgug;igf; fhz;f.
105. xU Neh;tl;l jpz;kf; $k;gpd; cauq;fspd; tpfpjk; 1 : 3 kw;Wk; mtw;wpd; Muq;fspd; tpfpjk; 3 : 1 vdpy; mtw;wpd; fd
msTfspd; tpfpjj;ijf; fhz;f.
101. xU jpz;k Neh;tl;l cUisapd; nkhj;j Gwgug;G 660 r.nr.kP mjd; tpl;lk; 14 nr.kP vdpy; cUisapd; cauj;ijAk; ,
tisgug;igAk; fhz;f.
106. ,uz;L jpz;k miuf;Nfhsq;fspd; Muq;fs; 3 : 5 vd;w tpfpjj;jpy; cs;sd vdpy; mf;Nfhsq;fspd; tisgug;Gfspd; tpfpjk;
fhz;f.
107. xU jpz;k Neh;tl;l $k;gpd; fdmsT 4928 f.nr.kP mjd; cauk; 24 nr.kP vdpy; $k;gpd; Muk; fhz;f.
108. xU Neh;tl;l $k;gpd; fdmsT 216 ๐ f.nr.kP kw;Wk; mf;$k;gpd; Muk; 9 nr.kP vdpy; mjd; cauk; fhz;f.
ghlk; : 11.Gs;spapay;
109. Kjy; 13 ,ay; vz;fspd; jpl;l tpyf;fj;ijf; fhz;f.
110. xU Gs;sp tpuuj;jpd; khWghl;Lf; nfO 57 kw;Wk; jpl;ltpyf;fk; 6.84 vdpy; mjd; $l;Lr;ruhrhpiaf; fhz;f.
111. 43 , 24 , 38 , 56 , 22 , 39 , 45 Mfpa Gs;sptptuq;fspd; tPr;R kw;Wk; tPr;Rf; nfO Mfpatw;iwf; fhz;f.
112. fz;lwpe;j Gs;sp tptuj; njhFg;gpYs;s 20 kjpg;Gfspd; jpl;ltpyf;fk; 5 vd;f. Gs;sptptuj;jpd; xt;nthU kjpg;igAk; 2 My;
ngUf;fpdhy; fpilf;Fk; Gjpa Gs;sp tptuq;fspd; jpl;ltpyf;fk; kw;Wk; tpyf;f th;f;fr; ruhrhp Mfpatw;iwf; fhz;f.
113. ,U tptuj;njhlh;fspd; khWghl;Lf; nfOf;fs; 58 kw;wk; 69 vd;f.mtw;wpd; jpl;ltpyf;fk; KiwNa 21.2 kw;Wk; 15.6 vdpy;
mtw;wpd; $l;Lr;ruhrhpiaf; fhz;f.
114. 50 msTfspy; kpfg;nghpa kjpg;G 3.84 fp.fp mjd; tPr;R 0.46 fp.fp vdpy; mitfspd ; kPr;rpW kjpg;igf; fhz;f.
115. xU Gs;sp tptuj;jpd; kPr;rpW kjpg;G 12.mjd; tPr;R 59 vdpy; mg;Gs;sp tptuj;jpd; kPg;ngU kjpg;igf; fhz;f.
116. xU Gs;sp tptuj; njhFg;gpd; kPg;ngU kjpg;G 7.44 kw;Wk; mjd; tPr;R 2.26 vdpy; mj;njhFg;gpd; kPr;rpW kjpg;igf; fhz;f.
117. xU FOtpy; 100 Ngh; cs;sdh;.mth;fspd; cauq;fspd; $l;Lr; ruhrhp 163.8 nr.kP kw;Wk; khWghl;L nfO 3.2 vdpy;
mth;fSila cauq;fspd; jpl;ltpyf;fk; fhz;f.
118. 59 , 46 , 30 , 23 , 27 , 40 , 52 , 35 , 29 vd;w Gs;sp tptuj;jpd; tPr;R kw;Wk; tPr;Rf; nfO fhz;f.
ghlk; : 12.epfo;jfT
119. ,U ehzaq;fs; xNu Neuj;jpy; Rz;Lk;NghJ mjpfgl;rkhf xU jiy fpilg;gjw;fhd epfo;jfT fhz;f.
120. A kw;Wk; B vd;w ,U epfo;r;rpfspy; ๐ ๐ด = 1
4 , ๐ ๐ต =
2
5 kw;Wk; ๐ ๐ด โช ๐ต =
1
2 vdpy; ๐ ๐ด โฉ ๐ต fhz;f.
121. Kjy; 20 ,ay; vz;fspypUe;J xU KO vz; rktha;G Kiwapy; Njh;e;njLf;fg;gLfpwJ , me;j vz; xU gfh vz;zhf
,Ug;gjw;fhd epfo;jfT fhz;f.
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X โ MATHS QUESTION BANK Page 7
122. 12 ey;y Kl;ilfSld; 3 mOfpa Kl;ilfs; fye;Js;sd.rktha;g;G Kiwapy; Njh;e;njLf;fg;gLk; xU Kl;il , mOfpajhf
,Ug;gjw;fhz epfo;jfT fhz;f.
123. xU Fwpg;gpl;l ehspy; kio tUtjw;fhd epfo;jfT 0.76 vdpy; mNj ehspy; kio tuhky; ,Ug;gjw;fhz epfo;jfT fhz;f.
124. ,U gfilfs; xNu Neuj;jpy; xU Nru cUl;lg;gLk;NghJ fpilf;Fk; Kf vz;fspd; $Ljy; 3 My; kw;Wk; 4 My; tFglhky;
,Ug;gjw;fhd epfo;jfT fhz;f.
125. 3 , 5 , 7 vd;w vz;fisf; nfhz;l xU ,uz;L ,yf;f vz; mikf;fg;gLfpwJ. mt;ntz; 57 I tpl nghpajhf ,Ug;gjw;fhz
epfo;jfT fhz;f.
126. %d;W gfilfs; xNu Neuj;jpy; cUl;lg;gLtjpy; , %d;W gfilfspYk; xNu vz;zhf tUtjw;fhd epfo;jfT fhz;f.
127. xU ngl;bapy; 4 gr;ir , 5 ePyk; kw;Wk; 3 rptg;G epwg; ge;Jfs; cs;sd. rktha;g;G Kiwapy; xU ge;ij Njh;e;njLf;f mJ
gr;ir epwg; ge;jhf ,y;yhky; ,Ug;gjw;fhd epfo;jfT fhz;f.
128. A kw;Wk; B vd;gd xd;iwnahd;W tpyf;Fk; epfo;r;rpfs;.NkYk;; ๐ ๐ด = 3
5 , ๐ ๐ต =
1
5 kw;Wk; ๐ ๐ด โช ๐ต fhz;f.
129. 1 ypUe;J 100 tiuapyhd KO vz;fspypUe;J rktha;g;G Kiwapy; Njh;e;njLf;fg;gLk; xU vz; xU KOth;f;fkhf
,Ug;gjw;fhd epfo;jfT fhz;f.
130. %d;W ehzaq;fs; xNu Neuj;jpy; Rz;lg;gLfpd;wd.,U G+f;fs; kl;Lk; fpilg;gjw;fhd epfo;jfT fhz;f
131. xU rPuhd gfil ,uz;L Kiw cUl;lg;gLfpwJ. Kf vz;fspd; $Ljy; 9 fpilf;fg; ngWtjw;fhd epfo;jfT fhz;f.
Kf;fpa Ie;J kjpg;ngz; tpdhf;fs;
ghlk; : 1. fzq;fSk; rhh;GfSk;
1. P = a , b , c , d , e , Q = a , e , i , o , u kw;Wk; R = a , c , e , g Mfpa fzq;fspd; ntl;L Nrh;g;G gz;G cilaJ vdr;
rhpghh;.
2. A = { 0 , 1 , 2 , 3 , 4 } , B = { 1 , โ 2 , 3 , 4 , 5 , 6 } kw;Wk; C = { 2 , 4 , 6 , 7 } vdpy; A โช B โฉ C = A โช B โฉ A โช C vd;gijr; rhpghh;.
3. A = { โ3 , โ1 , 0 , 4 , 6 , 8 , 10 } , B = { โ1 , โ2 , 3 , 4 , 5 , 6 } kw;Wk; C = { โ1 , 2 , 3 , 4 , 5 , 7 } vdpy;
( i ) A โช B โฉ C = A โช B โฉ A โช C ( ii ) A โฉ B โช C = A โฉ B โช A โฉ C Mfpatw;iwr; rhpghh;.
4. A = 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45 , 50 , B = 1 , 5 , 10 , 15 , 20 , 30 kw;Wk; C = 7 , 8 , 15 , 20 , 35 , 45 , 48 Mfpa fzq;fSf;F
A \ B โฉ C = A โฅ B โช A โฅ C vd;gijr; rhpghh;.
5. A = a , b , c , d , e , f , g , x , y , z , B = 1 , 2 , c , d , e kw;Wk; C = d , e , f , g , 2 , y vdpy;
๐ด \ ๐ต โช ๐ถ = ๐ด โฅ ๐ต โฉ ๐ด โฅ ๐ถ vd;gijr; rhpghh;.
6. gpd;tUk; fzq;fisf; nfhz;L B โ khh;fdpd; fz tpj;jpahr tpjpfisr; rhpghh;.
A = 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , B = 1 , 2 , 5 , 7 kw;Wk; C = 3 , 9 , 10 , 12 , 13
7. U = โ2 ,โ1 , 0 , 1 , 2 , 3 , โฆ . , 10 , A = โ 2 , 2 , 3 , 4 , 5 kw;Wk; B = 1 , 3 , 5 , 8 , 9 vdpy; B โ khh;fdpd; fz epug;gp tpjpfisr; rhpghh;.
8. U = a , b , c , d , e , f , g , h , A = a , b , f , g kw;Wk; B = a , b , c vdpy; B โ khh;fdpd; fz epug;gp tpjpfisr; rhpghh;.
9. ntz;glq;fis gad;gLj;jp gpd;tUtdtw;iw rhpah vdr; Nrhjpj;J ghh;f;fTk;.
๐ A โช B โฉ C = A โช B โฉ A โช C ii A โฉ B โช C = A โฉ B โช A โฉ C ( iii ) A โช B โฒ = A โฒ โฉ B โฒ
๐๐ฃ A โฉ B โฒ = A โฒ โช B โฒ ๐ฃ A \ B โช C = A โฅ B โฉ A โฅ C ๐ฃ ๐ A \ B โฉ C = A โฅ B โช A โฅ C
10. ๐ด = 0 , 1 , 2 , 3 kw;Wk; ๐ต = 1 , 3 , 5 , 7 , 9 vd;gd ,U fzq;fs; vd;f.๐ โถ ๐ด โ ๐ต vDk; rhh;G ๐ ๐ฅ = 2๐ฅ + 1 vdf;
nfhLf;fg;gl;Ls;sJ.,r;rhh;gpid
i ) thpirNrhbfspd; fzk; ii ) ml;ltiz iii ) mk;Gf;Fwpglk; iv ) tiuglk; Mfpatw;why; Fwpf;f.
11. ๐ด = 6 , 9 , 15 , 18 , 21 , kw;Wk; ๐ต = 1 , 2 , 4 , 5 , 6 , ๐ โถ ๐ด โ ๐ต vd;gJ ๐ ๐ฅ = ๐ฅโ3
3 vd tiuaWf;fg;gl;bUg;gpd; rhh;G ๐ โ I
i ) thpirNrhbfspd; fzk; ii ) ml;ltiz iii ) mk;Gf;Fwpglk; iv ) tiuglk; Mfpatw;why; Fwpf;f.
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X โ MATHS QUESTION BANK Page 8
12. ๐ด = 4 , 6 , 8 , 10 , kw;Wk; ๐ต = 3 , 4 , 5 , 6 , 7 ๐ โถ ๐ด โ ๐ต vd;gJ ๐ ๐ฅ = 1
2๐ฅ + 1 vd tiuaWf;fg;gl;bUg;gpd; rhh;G ๐ โ I
i ) thpirNrhbfspd; fzk; ii ) ml;ltiz iii ) mk;Gf;Fwpglk; iv ) tiuglk; Mfpatw;why; Fwpf;f.
ghlk; : 2. nka;naz;fspd; njhlh;thpirfSk; njhlh;fSk;
13. xU $l;Lj;njhlh;thpirapd; 9 MtJ cWg;G G+r;rpak; vdpy; 19 tJ vWg;gpd; ,U klq;F 29 MtJ cWg;G vd epWTf.
14. xU $l;Lj;njhlh;thpirapd; 10 kw;Wk; 18 MtJ cWg;Gfs; KiwNa 41 kw;Wk; 73 vdpy; 27 tJ cWg;igf; fhz;f.
15. xU ngUf;Fj;njhlh; thpirapd; ehd;fhtJ cWg;G
2
3 kw;Wk; mjd; VohtJ cWg;G
16
81 vdpy; mg;ngUf;Fj;njhlh; thpiriaf;
fhz;f.
16. 8 โ My; tFgLk; midj;J %d;wpyf;f vz;fspd; $Ljy; fhz;f.
17. 9 โ My; tFgLk; midj;J %d;wpyf;f vz;fspd; $Ljy; fhz;f.
18. 300 f;Fk; 500 f;Fk; ,ilNa 11 My; tFgLk; midj;J ,ay; vz;fspd; $Ljy; fhz;f.
19. 6 + 66 + 666 + โฆโฆโฆโฆโฆ.. vDk; njhlhpy; Kjy; n โ cWg;Gfspd; $Ljy; fhz;f.
20. 7 + 77 + 777 + โฆโฆโฆโฆโฆ.. vDk; njhlhpy; Kjy; n โ cWg;Gfspd; $Ljy; fhz;f.
21. $Ljy; fhz;f. 12 2 + 13 2 + 14 2 + โฆโฆ . . + 35 2
22. $Ljy; fhz;f. 16 2 + 17 2 + 18 2 + โฆโฆ . . + 25 2
23. $Ljy; fhz;f. 16 3 + 17 3 + 18 3 + โฆโฆโฆ + 35 3
24. $Ljy; fhz;f. 11 3 + 12 3 + 13 3 + โฆโฆโฆ + 28 3
25. 11 nr.kP , 12 nr.kP , 13 nr.kP ........... 24 nr.kP Mfpadtw;iw gf;f msTfshff; nfhz;l 14 rJuq;fspd; nkhj;j gug;G fhz;f.
26. 12 nr.kP , 13 nr.kP , 14 nr.kP ........... 23 nr.kP Mfpadtw;iw gf;f msTfshff; nfhz;l 14 rJuq;fspd; nkhj;j gug;G fhz;f.
27. 16 nr.kP , 17 nr.kP , 18 nr.kP ........... 30 nr.kP Mfpadtw;iw gf;f msTfshff; nfhz;l 15 rJuq;fspd; fd msTfspd;
$Ljy; fhz;f.
ghlk; : 3.,aw;fzpjk;
gpd;tUtdtw;iw fhuzpg;gLj;Jf.
28) 2๐ฅ3 โ 3๐ฅ2 โ 3๐ฅ + 2 29 ) ๐ฅ3 โ 3๐ฅ2 โ 10๐ฅ + 24 30 ) ๐ฅ3 โ 2๐ฅ2 โ 5๐ฅ + 6 31 ) 4๐ฅ3 โ 5๐ฅ2 + 7๐ฅ โ 6
32 ) 2๐ฅ3 โ 9๐ฅ2 + 7๐ฅ + 6 33 ) 2๐ฅ3 + 11๐ฅ2 โ 7๐ฅ โ 6 34 ) ๐ฅ3 โ 23๐ฅ2 + 142๐ฅ โ 120 35 ) ๐ฅ3 + 13๐ฅ2 + 32๐ฅ + 20
36 ) ๐ฅ3 โ 10๐ฅ2 โ ๐ฅ + 10 37 ) ๐ฅ3 โ 5๐ฅ2 โ 2๐ฅ + 24
gpd;tUtdtw;wpd; th;f;f %yk; fhz;f.
38 ) ๐ฅ 4 โ 10 ๐ฅ 3 + 37๐ฅ 2 โ 60๐ฅ + 36
39 ) ๐ฅ 4 โ 6 ๐ฅ 3 + 19๐ฅ 2 โ 30๐ฅ + 25
40 ) ๐ฅ 4 โ 4 ๐ฅ 3 + 10๐ฅ 2 โ 12๐ฅ + 9
41) 4๐ฅ 4 + 8 ๐ฅ 3 + 8๐ฅ 2 + 4๐ฅ + 1
42 ) 9๐ฅ 4 โ 6๐ฅ 3 + 7๐ฅ 2 โ 2๐ฅ + 1
43 ) 4 + 25๐ฅ 2 โ 12๐ฅ โ 24 ๐ฅ 3 + 16๐ฅ 4
44 ) 4๐ฅ 4 โ 12 ๐ฅ 3 + 37๐ฅ 2 + ๐๐ฅ + ๐ MdJ xU KO th;f;fk; vdpy; a , b โ d; kjpg;G fhz;f.
45) ๐ฅ 4 โ 4 ๐ฅ 3 + 10๐ฅ 2 โ ๐๐ฅ + ๐ MdJ xU KO th;f;fk; vdpy; a , b โ d; kjpg;G fhz;f.
46 ) 9๐ฅ 4 + ๐ ๐ฅ 3 + 109๐ฅ 2 โ 60๐ฅ + 36 MdJ xU KO th;f;fk; vdpy; a , b โ d; kjpg;G fhz;f.
47) 9๐ฅ 4 โ ๐ ๐ฅ 3 + 40๐ฅ 2 + 24๐ฅ + 36 MdJ xU KO th;f;fk; vdpy; a , b โ d; kjpg;G fhz;f.
48 ) ๐ โ ๐๐ฅ + 28๐ฅ 2 + 12 ๐ฅ 3 + 9 ๐ฅ 4 MdJ xU KO th;f;fk; vdpy; m , n โ d; kjpg;G fhz;f.
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X โ MATHS QUESTION BANK Page 9
ghlk; : 4.mzpfs;
49. jPh;T fhz;f. ๐ฆ
3๐ฅ =
6 โ 2๐ฅ 31 + 4๐ฆ
50. 5๐ฅ + 2 ๐ฆ โ 4
0 4๐ง + 6 =
12 โ80 2
vdpy; x , y kw;Wk; z - fspd; kjpg;Gfisf; fhz;f.
51. 2๐ฅ + ๐ฆ๐ฅ โ 3๐ฆ
= 5
13 vdpy; x kw;Wk; y - fspd; kjpg;Gfisf; fhz;f.
52. ๐ด = 3 25 1
, ๐ต = 1 โ22 3
kw;Wk; ๐ = 0 00 0
vdpy; gpd;tUtdtw;iwr; rhpghh;f;f.
๐ ) ๐ด + ๐ต = ๐ต + ๐ด ๐๐ ) ๐ด + โ๐ด = 0 = โ๐ด + ๐ด
53. ๐ด = 4 1 21 โ2 30 3 2
๐ต = 2 0 46 2 8 2 4 6
, ๐ถ = 1 2 โ35 0 21 โ1 1
vdpy; ๐ด + ๐ต + ๐ถ = ๐ด + ๐ต + ๐ถ vd;gijr; rhpghh;.
54. ๐ด = 3 2โ1 4
, ๐ต = โ2 5 6 7
kw;Wk; ๐ถ = 1 1โ5 3
vdpy; ๐ด ๐ต + ๐ถ = ๐ด๐ต + ๐ด๐ถ vd;gijr; rhpghh;.
55. ๐ด = โ2 4 5
kw;Wk; ๐ต = 1 3 โ6 vd;w mzpfSf;F ๐ด๐ต ๐ = ๐ต ๐ ๐ด ๐ vd;gijr; rhpghh;.
56. ๐ด = 1 โ1 2 3
vdpy; ๐ด 2 โ 4๐ด + 5๐ผ 2 = 0 vd epWTf.
57. ๐ด = โ1 2 1 1 2 3
, ๐ต = 012
vdpy; ๐ถ = 2 1 vdpy; ๐ด ๐ต ๐ถ = ๐ด ๐ต๐ถ vd;gijr; rhpghh;.
58. ๐ด = 5 2 7 3
, ๐ต = 2 โ1 โ1 1
vdpy; ๐ด๐ต ๐ = ๐ต ๐ ๐ด ๐ vd epWTf.
59. ๐ด = 1 โ4โ2 3
kw;Wk; ๐ต = โ1 6 3 โ2
vdpy; ๐ด + ๐ต 2 โ ๐ด 2 + 2๐ด๐ต + ๐ต 2 vd;gijr; rhpghh;.
60. ๐ด = 3 37 6
, ๐ต = 8 70 9
kw;Wk; ๐ถ = 2 โ34 6
vdpy; ( A + B ) C kw;Wk; AC + BC vd;w mzpfisf; fhz;f.
NkYk; ( A + B ) C = AC + BC vd;gJ nka;ahFkh?
ghlk; : 5.Maj;njhiy tbtpay;
gpd;tUtdtw;iw Kidfshff; nfhz;l ehw;fuq;fspd; gug;G fhz;f.
61. 6 , 9 , 7 , 4 , 4 , 2 kw;Wk; ( 3 , 7 )
62. โ3 , 4 , โ5 ,โ 6 , ( 4 , โ1 ) kw;Wk; ( 1 , 2 )
63. โ 4 , 5 , 0 , 7 , 5 , โ5 kw;Wk; โ4 , โ2
67. ( 7 , 3 ) , ( 6 , 1 ) , ( 8 , 2 ) kw;Wk; ( P, 4 ) vd;gd Xh; ,izfuj;jpd; thpirg;gb mike;j cr;rpfs; vdpy; P - d; kjpg;igf; fhz;f.
ghlk; : 6.tbtpay;
65. Njy;]; Njw;wk; my;yJ mbg;gil tpfpj rk Njw;wj;ij vOjp epWTf.
66. Nfhz ,Urkntl;b Njw;wj;ij vOjp epWTf.
67. gpj;jhfu]; Njw;wj;ij vOjp epWTf.
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X โ MATHS QUESTION BANK Page 10
ghlk; : 7.Kf;Nfhztpay;
68. Neh;Fj;jhd xU kuj;jpd; Nky; ghfk; fhw;wpdhy; Kwpe;J , mk;Kwpe;j gFjp fPNo tpOe;Jtplhky; kuj;jpd; cr;rp
jiuAld; 30 0 Nfhzj;ij Vw;gLj;JfpwJ.kuj;jpd; cr;rp mjd; mbapypUe;J 30 kP njhiytpy; jiuiaj; njhLfpwJ vdpy;
kuj;jpd; KO cauj;ijf; fhz;f.
69. flw;fiuapy; cs;s nrq;Fj;jhd ghiw xd;wpd; kPJ fl;lg;gl;Ls;s xU fyq;fiu tpsf;fj;jpy; epd;Wnfhd;bUf;Fk; xU rpWkp
fpof;F jpirapy; ,U glFfisg; ghh;fpwhs;.mg;glFfspd; ,wf;ff;Nfhzq;fs; 30 0 , 60 0 KiwNa kw;Wk; ,U glFfSf;F
,ilNa cs;s J}uk; 300 kP vdpy; fly; kl;lj;jpypUe;J fyq;fiu tpsf;ffj;jpd; cr;rpapd; J}uj;ijf; fhz;f.
[ glFfSk; fyq;fiu tpsf;fKk; xNu Neh;f;Nfhl;by; cs;sd ]
70. 60 kP cauKs;s xU NfhGuj;jpypUe;J xU fl;llj;jpd; cr;rp , mb Mfpatw;wpd; ,wf;ff;Nfhzq;fs; KiwNa 30 0 kw;Wk; 60 0
vdpy; fl;llj;jpd; cauj;ijf; fhz;f.
71. xU NfhGuj;jpd; mbapypUe;J 30 3 njhiytpy; epw;Fk; xU ghh;itahsh; , mf;NfhGuj;jpd; cr;rpapid 30 0 Vw;wf;Nfhzj;jpy;
fhz;fpwhh;. jiukl;lj;jpypUe;J mtUila fpilepiy ghh;it Nfhl;bw;F cs;s J}uk; 1.5 kP vdpy; NfhGuj;jpd; cauj;ijf; fhz;f.
72. xU NfhGuj;jpd; mbapypUe;J xU Fd;wpd; cr;rpapd; Vw;wf;Nfhzk; 60 0 vd;f. Fd;wpd; mbapypUe;J NfhGuj;jpd; cr;rpapd;
Vw;wf;Nfhzk; 30 0 kw;Wk; NfhGuj;jpd; cauk; 50 kP vdpy; Fd;wpd; cauj;ijf; fhz;f.
73. 40 nr.kP ePsKs;s xU CryhdJ xU KO miytpd;NghJ mjd; cr;rpapy; 60 0 Nfhzj;ij Vw;gLj;JfpwJ.me;j miytpy;
Cry; Fz;bd; Jtf;f epiyf;Fk; , ,Wjp epiyf;Fk; ,ilNa cs;s kpff; Fiwe;j J}uj;ijf; fhz;f.
ghlk; : 8.mstpay;
74. xU Neh;tl;l cUisapd; tisgug;G 704 r.nr.kP kw;Wk; mjd; cauk; 8 nr.kP vdpy; mt;TUisapd; fd msit ypl;lhpy;
fhz;f.
75. xU jpd;kf; Nfhsj;jpd; fdmsT 7241 1
7 f.nr.kP vdpy; , mjd; Muj;ijf; fhz;f.
76. xU rh;f;f]; $lhukhdJ cUisapd; kPJ $k;G ,ize;j tbtpy; mike;Js;sJ. $lhuj;jpd; nkhj;j cauk; 49 kP .mjd;
mbg;ghfj;jpd; tpl;lk; 42 kP .cUisg;ghfj;jpd; cauk; 21 kP NkYk; 1 r.kP fpj;jhd; Jzpapd; tpiy &.12.50 vdpy; , $lhuk;
mikf;fj; Njitahd fpj;jhd; Jzpapd; tpiyiaf; fhz;f.
77. xU jpd;k kug;nghk;ikahdJ miuf;Nfhsj;jpd; Nky; $k;G mike;j tbtpy; cs;sJ.miuf;Nfhsk; kw;Wk; $k;G Mfpatw;wpd;
Muk; 3.5 nr.kP.NkYk; nghk;ikApd; nkhj;j cauk; 17.5 nr.kP vdpy; mg;nghk;ik jahhpf;fg; gad;gLj;jg;gl;l kuj;jpd; fd
msitf; fhz;f.
78. 7 nr.kP tpl;lKs;s cUistbt Kfitapy; rpwpjsT jz;zPh; cs;sJ.mjpy; xt;nthd;Wk; 1.4 nr.kp tpl;lKs;srpy Nfhstbt
gspq;Ff; fw;fs; Nghlg;gLfpwJ.cUisapYs;s ePhpd; kl;lk; 5.6 nr.kP cau vj;jid gspq;F fw;fis Kfitapy; NghlNtz;Lk;.
79. 8 nr.kP tpl;lKk; 12 nr.kP cauKk; nfhz;l xU Neh;tl;l jpd;k ,Uk;Gf; $k;ghdJ cUf;fg;gl;L 4 kp.kP MuKs;s jpd;k Nfhs
tbt Fz;Lfshf thh;f;fg;gl;lhy; fpilf;Fk; Nfhstbt Fz;Lfspd; vz;zpf;ifiaf; fhz;f.
80. xU cs;sPlw;w Nfhsj;jpd; ntsp kw;Wk; cs; Muq;fs; KiwNa 8 nr.kP kw;Wk; 4 nr.kP . ,f;NfhskhdJ cUf;fg;gl;L 8 nr.kP
tpl;lKs;s Neh;tl;l jpz;kf; $k;ghf khw;wg;gl;lhy; $k;gpd; cauj;ijf; fhz;f.
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X โ MATHS QUESTION BANK Page 11
ghlk; : 9.nra;Kiw tbtpay;
ikaj;ij gad;gLj;jp tl;lj;jpw;F njhLNfhL tiujy;
81. 3.2 nr.kP MuKs;s tl;lk; tiuf.tl;lj;jpd; Nky; P vd;w Gs;spia Fwpj;J mg;Gs;sptopNa xU njhLNfhL tiuf.
82. 4.2 nr.kP MuKs;s tl;lk; tiue;J mt;tl;lj;jpd; Nky; VNjDk; xU Gs;spiaf; Fwpf;f.tl;lj;jpd; ikaj;ij gad;gLj;jp
mg;Gs;sptopNa njhLNfhL tiuf.
njhLNfhL - ehz; Njw;wj;ij gad;gLj;jp tl;lj;jpd; Nky; mike;j Gs;spapy;
njhLNfhL tiujy;
83. 3.2 nr.kP MuKs;s tl;lk; tiuf. tl;lj;jpd; Nky; P vd;w Gs;spia Fwpj;J mg;Gs;spapy; njhLNfhL - ehz; Njw;wj;ij
gad;gLj;jp njhLNfhL tiuf.
84. 4.2 nr.kP MuKs;s tl;lk; tiue;J mt;tl;lj;jpd; Nky; VNjDk; xU Gs;spiaf; Fwpf;J. mg;Gs;spapy; njhLNfhL - ehz;
Njw;wj;ij gad;gLj;jp njhLNfhL tiuf.
tl;lj;jpw;F ntspNa mike;j Gs;spapypUe;J tl;lj;jpw;F njhLNfhl;L
Nrhbfs; tiujy;
85. 3 nr.kP MuKs;s tl;lk; tiuf.tl;lj;jpd; ikaj;jpypUe;J 7 nr.kP njhiytpy; xU Gs;spiaf; Fwpj;J , mg;Gs;spapypUe;J
tl;lj;jpw;F njhLNfhLfs; tiuf.NkYk; njhLNfhLfspd; ePsq;fis mse;J vOJf.
86. 10 nr.kP tpl;lKs;s tl;lk; tiuf.tl;lj;jpd; ikaj;jpypUe;J 13 nr.kP njhiytpy; P vd;w Gs;spia Fwpj;J mg;Gs;spapypUe;J
tl;lj;jpw;F PA kw;Wk; PB vd;w njhLNfhLfs; tiue;J mjd; ePsq;fis fzf;fpLf.
87. 6 nr.kP MuKs;s xU tl;lk; tiue;J mjd; ikaj;jpypUe;J 10 nr.kP njhiytpYs;s xU Gs;spiaf; Fwpf;f.mg;Gs;spapypUe;J
tl;lj;jpw;F njhLNfhLfs; tiue;J mjd; ePsq;fis fzf;fpLf.
88. 3 nr.kP MuKs;s xU tl;lk; tiue;J mjd; ikaj;jpypUe;J 9 nr.kP njhiytpYs;s xU Gs;spiaf; Fwpf;f.mg;Gs;spapypUe;J
tl;lj;jpw;F njhLNfhLfs; tiue;J mjd; ePsq;fis fzf;fpLf.
tl;l ehw;fuk; tiujy ;
tif : I - %d;W gf;fq;fs; kw;Wk; xU %iytpl;lk; nfhLf;fg;gLk;NghJ tl;l
ehw;fuk; tiujy;
89. ๐ด๐ต = 6 nr.kP ๐ด๐ถ = 7 nr.kP ๐ต๐ถ = 6 nr.kP kw;Wk; ๐ด๐ท = 4.2 nr.kP msTfs; nfhz;l ABCD vd;w tl;lehw;fuk; tiuf.
90. ๐๐ = 6 .5 nr.kP ๐๐ = 5.5 nr.kP ๐๐ = 7 nr.kP kw;Wk; ๐๐ = 4.5 nr.kP msTfs; nfhz;l PQRS vd;w tl;lehw;fuk; tiuf.
91. ๐ด๐ต = 6 nr.kP ๐ด๐ท = 4.8 nr.kP ๐ต๐ท = 8 nr.kP kw;Wk; ๐ถ๐ท = 5.5 nr.kP msTfs; nfhz;l ABCD vd;w tl;lehw;fuk; tiuf.
tif : II - ,uz;L gf;fq;fs; kw;Wk; ,uz;L %iytpl;lk; nfhLf;fg;gLk;NghJ tl;l
ehw;fuk; tiujy ;
92. ๐๐ = 4 nr.kP ๐๐ = 6 nr.kP ๐๐ = 7.5 nr.kP kw;Wk; ๐๐ = 7 nr.kP msTfs; nfhz;l PQRS vd;w tl;lehw;fuk; tiuf.
93. ๐พ๐ฟ = 5.5 nr.kP ๐พ๐ = 5 nr.kP ๐ฟ๐ = 4.2 nr.kP kw;Wk; ๐ฟ๐ = 5.3 nr.kP msTfs; nfhz;l KLMN vd;w tl;lehw;fuk; tiuf.
94. ๐ธ๐น = 7 nr.kP ๐ธ๐ป = 4.8 nr.kP ๐น๐ป = 6.5 nr.kP kw;Wk; ๐ธ๐บ = 6.6 nr.kP msTfs; nfhz;l EFGH vd;w tl;lehw;fuk; tiuf.
tif : III - %d;W gf;fq;fs; kw;Wk; xU Nfhzk; nfhLf;fg;gLk;NghJ
tl;l ehw;fuk; tiujy;.
95. ๐ด๐ต = 6 nr.kP ๐ต๐ถ = 5.5 nr.kP โ ๐ด๐ต๐ถ = 80 0 kw;Wk; ๐ด๐ท = 4.5 nr.kP msTfSf;F ABCD vd;w tl;lehw;fuk; tiuf.
96. ๐๐ = 5.5 nr.kP ๐๐ = 4.5 nr.kP โ ๐๐๐ = 45 0 kw;Wk; ๐๐ = 3 nr.kP msTfSf;F PQRS vd;w tl;lehw;fuk; tiuf.
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X โ MATHS QUESTION BANK Page 12
97. ๐ด๐ต = 7 nr.kP โ ๐ด = 80 0 , ๐ด๐ท = 4.5 nr.kP kw;Wk; ๐ต๐ถ = 5 nr.kP msTfSf;F ABCD vd;w tl;lehw;fuk; tiuf
tif : IV - ,uz;L gf;fq;fs; kw;Wk; ,uz;L Nfhzq;fs; nfhLf;fg;gLk;NghJ
tl;l ehw;fuk; tiujy ;
98. ๐ธ๐น = 5.2 nr.kP โ ๐บ๐ธ๐น = 50 0 , ๐น๐บ = 6 nr.kP kw;Wk; โ ๐ธ๐บ๐ป = 40 0 vd;w msTfSf;F EFGH vd;w tl;lehw;fuk; tiuf.
99. ๐ด๐ต = 6 nr.kP โ ๐ด๐ต๐ถ = 70 0 , ๐ต๐ถ = 5 nr.kP kw;Wk; โ ๐ด๐ถ๐ท = 30 0 vd;w msTfs; nfhz;l ABCD vd;w tl;lehw;fuk; tiuf.
100. ๐๐ = 5 nr.kP โ ๐๐๐ = 35 0 kw;Wk; โ ๐๐ ๐ = 70 0 , ๐๐ = 4 nr.kP vd;w msTfs; nfhz;l PQRS vd;w tl;lehw;fuk;
tiuf.
tif : V xU gf;fk; kw;Wk; %d;W Nfhzq;fs; nfhLf;fg;gLk;NghJ
tl;l ehw;fuk; tiujy ;
101. ๐๐ = 4 nr.kP โ ๐ = 100 0 kw;Wk; โ ๐๐๐ = 40 0 kW;Wk; โ ๐๐๐ = 70 0 vd;w msTfSf;F PQRS vd;w tl;lehw;fuk;
tiuf.
102. ๐ด๐ต = 5.5 nr.kP โ ๐ด๐ต๐ถ = 50 0 kw;Wk; โ ๐ต๐ด๐ถ = 60 0 kW;Wk; โ ๐ด๐ถ๐ท = 30 0 vd;w msTfSf;F ABCD vd;w tl;lehw;fuk;
tiuf.
tif : VI ,uz;L gf;fq;fs; xU Nfhzk; kw;Wk; xU ,izNfhL
nfhLf;fg;gLk;NghJ tl;l ehw;fuk; tiujy ;
103. ๐ด๐ต = 5.8 nr.kP โ ๐ด๐ต๐ท = 35 0 kw;Wk; ๐ด๐ท = 4.2 nr.kP ๐ด๐ต ว ๐ถ๐ท vd;w msTfs; nfhz;l ABCD vd;w tl;lehw;fuk; tiuf.
104. ๐ด๐ต = 6.5 nr.kP โ ๐ด๐ต๐ถ = 110 0 kw;Wk; ๐ต๐ถ = 5.5 nr.kP ๐ด๐ต ว ๐ถ๐ท vd;w msTfs; nfhz;l ABCD vd;w tl;lehw;fuk; tiuf.
ghlk; : 9.tiuglq;fs;
๐ฆ = ๐๐ฅ2 + ๐๐ฅ + ๐ vDk; tbtpy; mike;j ,Ugbr;rkd;ghl;bd; tiuglk; tiujy ;
fPo;f;fz;l rkd;ghLfSf;F tiuglk; tiuf.
105. ๐ฆ = 2๐ฅ2 106. ๐ฆ = 3๐ฅ2 107. ๐ฆ = โ4๐ฅ2 108. ๐ฆ = โ3๐ฅ2 109. ๐ฆ = ๐ฅ + 2 ๐ฅ + 4 110. ๐ฆ = 2๐ฅ2 โ ๐ฅ + 3
๐๐ฅ2 + ๐๐ฅ + ๐ = 0 vDk; tbtpy; mike;j ,Ugbr;rkd;ghl;il tiuglk; %yk; jPh;j;jy;
fPo;f;fz;ltw;iw tiuglk; %yk; jPh;f;f.
111. ๐ฅ2 โ 2๐ฅ โ 3 = 0 112. ๐ฅ2 โ 3๐ฅ โ 10 = 0 113. ๐ฅ2 โ 4 = 0
114. 2๐ฅ2 + ๐ฅ โ 6 = 0 115. ๐ฅ โ 5 ๐ฅ โ 1 = 0 116. 2๐ฅ + 1 ๐ฅ โ 3 = 0
117. ๐ฆ = 2๐ฅ2 d; tiuglk; tiue;J mjpypUe;J 2๐ฅ2 + ๐ฅ โ 6 = 0 vd;w rkd;ghl;il jPh;f;f.
118. ๐ฆ = ๐ฅ2 d; tiuglk; tiue;J mjpypUe;J ๐ฅ2 โ 4 ๐ฅ โ 5 = 0 vd;w rkd;ghl;il jPh;f;f.
119. ๐ฆ = ๐ฅ2 + 3๐ฅ + 2 d; tiuglk; tiue;J mjpypUe;J ๐ฅ2 + 2๐ฅ + 4 = 0 vd;w rkd;ghl;il jPh;f;f.
120. ๐ฆ = ๐ฅ2 + 2๐ฅ โ 3 d; tiuglk; tiue;J mjpypUe;J ๐ฅ2 โ ๐ฅ โ 6 = 0 vd;w rkd;ghl;il jPh;f;f.
121. ๐ฆ = 2๐ฅ2 + ๐ฅ โ 6 d; tiuglk; tiue;J mjpypUe;J 2๐ฅ2 + ๐ฅ โ 10 = 0 vd;w rkd;ghl;il jPh;f;f.
122. ๐ฆ = ๐ฅ2 โ ๐ฅ โ 8 d; tiuglk; tiue;J mjpypUe;J ๐ฅ2 โ 2 ๐ฅ โ 15 = 0 vd;w rkd;ghl;il jPh;f;f.
123. ๐ฆ = ๐ฅ2 + ๐ฅ โ 12 d; tiuglk; tiue;J mjpypUe;J ๐ฅ2 + 2 ๐ฅ + 2 = 0 vd;w rkd;ghl;il jPh;f;f.
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X โ MATHS QUESTION BANK Page 13
rpy rpwg;G tiuglq;fs;
124. fPo;f;fhZk; ml;ltizf;Fj; jFe;j tiuglk; tiue;J khwpfspd; khWghl;Lj; jd;ikia fhz;f. mk;khWghl;bd; khwpypiak;
fhz;f.
x 2 3 5 8 10
y 8 12 20 32 40
NkYk; x = 4 vdpy; y d; kjpg;G fhz;f.
125. xU kpjptz;b Xl;Lgth; A vd;w ,lj;jpypUe;J B vd;w ,lj;jpw;F xU rPuhd Ntfj;jpy; xNu topapy; ntt;NtW ehl;fspy; gazk;
nra;fpwhh;.mth; gazk; nra;j Ntfk; , mj;J}uj;jpidf; flf;f vLj;Jf;nfhz;l Neuk; Mfpatw;iwg; gw;wpa tptuq;fs;
( Ntf โ fhy ) gpd;tUk; ml;ltizapy; nfhLf;fg;gl;Ls;sd.
Ntfk; ( f.kP / kzp ) 2 4 6 10 12
Neuk; ( kzpapy; ) 60 30 20 12 10
Ntf - fhy tiuglk; tiue;J mjpypUe;J .
i ) mth; kzpf;F 5 fP.kP Ntfj;jpy; nrd;why; J}uj;ijf; flf;f MFk; gaz Neuk;.
ii ) mth; ,f;Fwpg;gpl;l J}uj;ij 40 kzpNeuj;jpy; flf;f ve;j Ntfj;jpy;gazpf;f Ntz;Lk; - Mfpatw;iwf; fhz;f.
126. xU tq;fp %j;j Fbkf;fspd; itg;Gj; njhiff;F 10 % jdptl;b jUfpwJ. itg;Gj;njhiff;Fk; mjw;F Xh; Mz;Lf;Ff;
fpilf;Fk; tl;bf;Fk; ,ilNaahd njhlh;gpidf; fhl;l xU tiuglk; tiuf.mjd; %yk;
i ) &.650 itg;gj;njhiff;Ff; fpilf;Fk; tl;b kw;Wk;
ii ) &.45 tl;bahf fpilf;f tq;fpapy; nrYj;jg;glNtz;ba itg;Gj;njhif Mfpatw;iwf; fhz;f.
127. xU NgUe;J kzpf;F 40 fp.kP Ntfj;jpy; nry;fpwJ. ,jw;Fhpa J}u โ fhy njhlh;gpw;fhd tiuglk; tiuf. ,jidg; gad;gLj;jp 3
kzp Neuj;jpy; ,g;NgUe;J gazpj;j J}uj;ijf; fhz;f.
128. thq;fg;gl;l Nehl;L Gj;jfq;fspd; vz;zpf;if kw;Wk; mjw;fhd tpiy tpguk; gpd;tUk; ml;ltidapy; jug;gl;Ls;sJ.
Nehl;L Gj;jfq;fspd; vz;zpf;if x 2 4 6 8 10 12
tpiy ( &.y ) 30 60 90 120 150 180
,jw;F tiuglk; tiue;J mjd; %yk;
i ) VO Nehl;Lg; Gj;jfq;fspd; tpiyiaf; fhz;f. ii ) &.165 โ f;F thq;fg;gLk; Nehl;Lg; Gj;jfq;fspd; vz;zpf;ifiaf; fhz;f.
129.
Nkw;fz;l ml;ltizapy; cs;s tptuj;jpw;F tiuglk; tiue;J , mjd; %yk;
i ) x = 4 vdpy; y d; kjpg;G fhz;f. ii ) y = 12 vdpy; x d; kjpg;G fhz;f.
130. xU ypl;lh; ghypd; tpiy &.15 vd;f. ghypd; msTf;Fk; tpiyf;Fk; cs;sj; njhlh;gpidf; fhl;Lk; tiuglk; tiuf.mjidg;
gad;gLj;jp i ) tpfpjrk khwpypiaf; fhz;f. ii ) 3 ypl;lh; ghypd; tpiyiaf; fhz;f.
131. ๐ฅ๐ฆ = 20 , ๐ฅ , ๐ฆ > 0 vd;gjd; tiuglk; tiuf. mjidg; gad;gLj;jp ๐ฅ = 5 vdpy; ๐ฆ โ d; kjpg;igAk;
๐ฆ = 10 vdpy; ๐ฅ d; kjpg;igAk; fhz;f.
132
Ntiyahl;fspd; vz;zpf;if x 3 4 6 8 9 16
ehl;fspd; vz;zpf;if y 96 72 48 36 32 18
ml;ltizapy; nfhLf;fg;gl;Ls;s tptuj;jpw;fhd tiuglk; tiuf.mjd; %yk; 12 Ntiyahl;fs; mt;Ntiyia KOtJkhf
nra;J Kbf;f MFk; ehl;fspd; vz;zpf;ifia fhz;f.
x 1 3 5 7 8
y 2 6 10 14 16
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![Page 14: gj;jhk; tFg;G fzpjk; - edu.newsbundles.comย ยท ๐ ) 2 โ 8 + 12 = 0 ๐๐ ) 2 2 โ3 + 4 = 0 , ๐๐๐ ) 9 2 + 12 + 4 = 0 ๐๐ฃ ) 2 โ 11 โ10 = 0 , ๐ฃ ) 2 2 + 5](https://reader030.vdocuments.site/reader030/viewer/2022040402/5e7d312012e56a510352eda8/html5/thumbnails/14.jpg)
X โ MATHS QUESTION BANK Page 14
ghlk; : 11.Gs;spapay;
fPo;f;fd;l Gs;sp tptuq;fSf;F jpl;ltpyf;fk; fhz;f.
133 ) 2 , 5 , 8 , 11 , 14 , 6 , 12 , 10
134 ) 65 , 58 , 53 , 50 , 50 , 63 , 52 , 55
135 ) 10 , 20 , 15 , 8 , 3 , 4
136 ) 38 , 40 , 34 , 31 , 28 , 26 , 34
137 ) 18 , 20 , 15 , 12 , 25
138 ) 20 , 18 , 32 , 24 , 26
ghlk; : 12.epfo;jfT
139. xU rPuhd gfil xU Kiw cUl;lg;gLfpwJ.gpd;tUk; epfo;r;rpfSf;fhd epfo;jfT fhz;f.
i ) vz; 4 fpilj;jy; ii ) xU ,ul;ilg;gil vz; fpilj;jy; iii ) 6 โ d; gfhf; fhuzp fpilj;jy;
iv ) 4 โ I tpl nghpa vz; fpilj;jy;.
140. xU rPuhd ehzak; ,uz;L Kiw Rz;lg;gLfpwJ. fPo;f;fhZk; epfo;r;rpfSf;fhd epfo;jftpid fhz;f.
i ) ,U jiyfs; fpilj;jy; ii ) Fiwe;jJ xU jiy fpilj;jy; iii ) xU G+ kl;Lk; fpilj;jy;
141. ,U rPuhd gfilfs; xU Kiw cUl;lg;gLfpd;wd. fPo;f;fhZk; epfo;r;rpfSf;fhd epfo;jftpid fhz;f.
i ) Kf vz;fspd; $Ljy; 8 Mf ,Uj;jy; ii ) Kf vz;fs; xNu vz;fshf ,Uj;jy;
iii ) Kf vz;fspd; $Ljy; 8 โ I tpl mjpfkhf ,Uj;jy;.
142. ed;F fiyj;J itf;fg;gl;l 52 rPl;Lfisf; nfhz;l rPl;Lf;fl;bypUe;J rktha;g;Gr; Nrhjid Kiwapy; xU rPl;L
vLf;fg;gLfpwJ. me;j rPl;L gpd;tUgtdhf ,Uf;f epfo;jfTfisf; fhz;f.
i ) ,uhrh ii ) fUg;G ,uhrh iii ) ];NgL iv ) lakz;l; 10
143. ed;F fiyj;J itf;fg;gl;l 52 rPl;Lfisf; nfhz;l rPl;Lf;fl;bypUe;J rktha;g;Gr; Nrhjid Kiwapy; xU rPl;L
vLf;fg;gLfpwJ. me;j rPl;L gpd;tUgtdhf ,Uf;f epfo;jfTfisf; fhz;f.
i ) vLj;j rPl;L lakz;l Mf ,Uf;f ii ) vLj;j rPl;L lakz;l ,y;yhky; ,Uf;f
iii ) vLj;j rPl;L V]; rPl;lhf ,y;yhky; ,Uf;f.
144. xU ngl;bapy; 4 gr;ir , 5 epyk; kw;Wk; 3 rptg;G epwg; ge;Jfs; cs;sd. rktha;g;G Kiwapy; xU ge;ij Njh;e;njLf;f mJ
i ) rptg;G epwg; ge;jhf ,Uf;f ii ) gr;ir epwg; ge;jhf ,y;yhky; ,Uf;f Mfpatw;wpd; epfo;jfT fhz;f.
145. %d;W ehzaq;fs; xNu Neuj;jpy; Rz;lg;gLfpd;wd. epfo;jftpd; $l;ly; Njw;wj;ij gad;gLj;jp , rhpahf
,U G+f;fs; my;yJ Fiwe;jgl;rk; xU jiyahtJ fpilf;Fk; epfo;r;rpapd; epfo;jftpdif; fhz;f.
146. xU gfil ,UKiw cUl;lg;gLfpwJ.Fiwe;jJ xU cUl;lypyhtJ vz; 5 fpilg;gjw;fhd epfo;jftpidf; fhz;f.
( $l;ly; Njw;wj;ij gad;gLj;Jf )
147. 52 rPl;Lfisf; nfhz;l xU rPl;Lf;fl;bypUe;J rktha;g;G Kiwapy; xU rPl;L vLf;fg;gLk; NghJ , mr;rPl;L xU ,uhrh ( King )
my;yJ xU rptg;G epwr; rPl;lhf fpilg;gjw;fhd epfo;jftpidf; fhz;f.
148. xU igapy; 10 nts;is , 5 fUg;G , 3 gr;ir kw;Wk; 2 rptg;G epwg; ge;Jfs; cs;sd.rktha;g;G Kiwapy; Njh;e;njLf;fg;gLk;
xU ge;J , nts;is my;yJ fUg;G my;yJ gr;ir epwkhf ,Ug;gjw;fhd epfo;jftpidf; fhz;f.
Prepareb by
S.Sakthivel ., M.Sc.,B.Ed .,
B.T , Asst , Govt higher secondary school,
Ramiyampatti,
Pappireddipatti โ T.K
Dharmapuri โ D.T
Mobile No : 9443950993 E โ Mail : [email protected]
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