lalbagh govt. model school and college suggestion for class ......lalbagh govt. model school and...

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Lalbagh Govt. Model School and College Suggestion for class – IX (Year Final - 2020) English 1 st Paper (Marjan Uddin) Items To be read Marks Part : A (Reading – 50) 1. Seen passage From Unit 06 to 10 22 2. Unseen passage Board question 2016-2020 15 3. Table matching Board question 2016-2020/unseen 05 4. Rearrangement Board question 2016-2020/unseen 08 Part : B (Writing – 50) 5.Paragraph 1. A rainy day4. A moonlit night 7. A good citizen 2. Dengue fever 5. Pastime8. Corona Virus3. E-learning 6. Importance of learning English 10 6.Completing Story 1. Bayazid’s devotion to his mother 5.Abdul KadirZilany 2.Sufiais a garments worker 6.Wisdom of king Solomon 3. Aboy saved a train 7.Judgement of king Solomon 4. Honesty of a rickshaw puller 8.Scholar and the boatman 10 7. Graph/Chart 1. Number of internet users5. Changing attitude of pastimes2. Infant mortality rate 6.Exports and imports of a country 3. Remittance in Bangladesh 7. Benefit of girls education 4. Sources of air pollution 8.Choice of profession 10 8. Informal letter 1. Importance of co-curricular activities 2. How to improve in English 3. Visiting a place of historical interest 4. Describing Bangladesh and her people 5. Importance of games and sports 6. Requesting a friend to stay for few days7. Importance of physical exercise 8. Advising to give up smoking 10 9. Dialogue 1. Use and abuse of Facebook 2. Eradicating of illiteracy 3. Importance of tree plantation 4. About village life and city life 5. Importance of early rising 6. You and a doctor 7. Importance of education 8. Unfair means in the exam 9. Impact of technology in education 10

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  • Lalbagh Govt. Model School and College Suggestion for class – IX (Year Final - 2020)

    English 1st Paper (Marjan Uddin)

    Items To be read Marks

    Part : A (Reading – 50)

    1. Seen passage From Unit 06 to 10 22

    2. Unseen passage Board question 2016-2020 15

    3. Table matching Board question 2016-2020/unseen 05

    4. Rearrangement Board question 2016-2020/unseen 08

    Part : B (Writing – 50)

    5.Paragraph 1. A rainy day4. A moonlit night 7. A good citizen 2. Dengue fever 5. Pastime8. Corona Virus3. E-learning

    6. Importance of learning English

    10

    6.Completing Story 1. Bayazid’s devotion to his mother 5.Abdul KadirZilany 2.Sufiais a garments worker 6.Wisdom of king Solomon 3. Aboy saved a train 7.Judgement of king Solomon 4. Honesty of a rickshaw puller 8.Scholar and the boatman

    10

    7. Graph/Chart 1. Number of internet users5. Changing attitude of pastimes2. Infant mortality rate 6.Exports and imports of a country 3. Remittance in Bangladesh 7. Benefit of girls education 4. Sources of air pollution 8.Choice of profession

    10

    8. Informal letter 1. Importance of co-curricular activities 2. How to improve in English 3. Visiting a place of historical interest 4. Describing Bangladesh and her people 5. Importance of games and sports 6. Requesting a friend to stay for few days7. Importance of

    physical exercise 8. Advising to give up smoking

    10

    9. Dialogue 1. Use and abuse of Facebook 2. Eradicating of illiteracy 3. Importance of tree plantation 4. About village life and city life 5. Importance of early rising 6. You and a doctor 7. Importance of education 8. Unfair means in the exam 9. Impact of technology in education

    10

  • jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

    evwl©K cixÿvi mv‡Rkb-2020

    beg †kªwY

    welq: Bmjvg I ˆbwZK wkÿv

    Aa¨vq wk‡ivbvg cvV m„Rbkxj eûwbe©vPwb

    cÖ_g AvKvB` I

    ˆbwZK wkÿv

    2, 3, 6, 7,

    9, 11, 13

    Abykxjbxi 1 I 2

    Ges cvVMy‡jv ‡_‡K

    Abykxjbx Ges

    cvVMy‡jv evi evi

    wiwWs co‡e

    PZz_© AvLjvK 2, 4, 6, 8,

    9, 10, 14,

    18, 19, 22

    Abykxjbxi 1 I 2

    Ges cvVMy‡jv ‡_‡K

    Abykxjbx Ges

    cvVMy‡jv evi evi

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    cÂg Av`k© Rxeb

    PwiZ

    1, 4, 5, 7,

    8, 10, 13

    Abykxjbxi 1 I 2

    Ges cvVMy‡jv ‡_‡K

    Abykxjbx Ges

    cvVMy‡jv evi evi

    wiwWs co‡e

    †gv: Avãyj Kv‡`i

    cÖfvlK, Bmjvg wkÿv

    jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

  • লালবাগ সরকারর মডেল সু্কল এন্ড কডলজ বারষ িক পরীক্ষার সাডজশন-2020

    শ্রেরি : 9ম, রবষয় : বাাংলা প্রথম পত্র

    গদ্য-

    ১. সুভা

    ২. বই পড়া

    ৩. রনমগাছ

    ৪. মানুষ মুহাম্মাদ (সাাঃ)

    ৫.পল্লী সারহত্য

    ৬,উডপরক্ষত্ শক্তির উদ্বড ান

    ৭.প্রবাস বনু্ধ

    পদ্য-

    ১.বঙ্গবািী

    ২. কডপাত্াক্ষ নদ

    ৩.সাহসী জননী বাাংলা

    ৪. জীবন সাংগীত্

    ৫. মানুষ

    ৬. পল্লী জননী

    ৭. শ্রত্ামাডক পাওয়ার জনয শ্রহ স্বা ীনত্া

    উপন্যাস –

    কাকত্াড়ুয়া ( অড িক)

    ( ১ শ্রথডক ১৭ পৃষ্ঠা)

    নাটক - বরহপীর ( অড িক)

    ( ৩৫ শ্রথডক ৫৪ পৃষ্ঠা)

    মান বন্টন:

    পূি িমান : ১০০

    সজৃনশীল রচনামূলক -৭০

    " বহুরনব িাচরন -৩০

  • evsjv‡`‡ki BwZnvm I wek¦ mf¨Zv

    9g †kÖYx,evwl©K cixÿvi mv‡Rkb

    1| BwZnv‡mi Dcv`b|

    2| wgkixq mf¨Zv,wm×z mf¨Zv,‡ivgvb mf¨Zv|

    3| Rbc`|

    4| cvj es‡ki cÖwZôvZv wnmv‡e †Mvcv‡ji f~wgKv|

    5| ag©cv‡ji K…Z©Z¡|

    6| ivRv jÿY‡mb |

    7| BLwZqvi DwÏb †gvnv¤§` web eLwZqvi LjwR

    8| cÖvPxb hy‡Mi Lvevi I †cvlvK,

    9| ga¨hy‡Mi Lvevi|

    10| wMqvmDwÏb BIR LjwR|

    11| myjZvb kvgmywÏb Bwjqvm kvn&|

    12| myjZvb AvjvDwÏb ‡nv‡mb kvn& |

    13| ev‡iv fzBqv|

    14| ivRv M‡bk|

    15| ivRv ivg‡gvnb ivq|

    16| Ck¦iP›`ª we`¨vmvMi|

  • jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

    Aa¨vq wfwËK m¤¢ve¨ cÖkœvejx

    welq t wdb¨vÝ I e¨vswKs

    cÖYq‡b t mv‡R`v †PŠayix

    cÖfvlK, e¨e ’̄vcbv

    jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

    wm‡jevm

    beg †kÖwY `kg †kÖwY

    wmwU-1 Aa¨vq-1,2 I 8 wmwU-1 Aa¨vq-6,7,12

    Aa©-evwl©K Aa¨vq-1 †_‡K 3,8,9 cÖvK-wbe©vPbx m¤ú~Y© eB

    wmwU-2 Aa¨vq-4,5 I 10 wmwU-2 -

    evwl©K Aa¨vq-1 †_‡K 5, 8†_‡K 10 wbe©vPbx m¤ú~Y© eB

    Aa¨vq t 1 (A_v©qb I e¨emvq A_v©qb)

    1. A_v©qb wK wb‡q KvR K‡i ?

    2. e¨emv‡qi g~j PvwjKvkw³ Kx ? e¨vL¨v Ki|

    3. A_v©qb wK ?

    4. we`¨vjq wK ai‡bi cÖwZôvb ?

    5. evsjv‡`‡ki K‡qKwU †Kv¤úvwbi bvg wjL|

    6. A_v©qb‡K Kqfv‡M fvM Kiv hvq I wK wK ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL|

    7. ‡Kvb e¨vw³ evwo wbgv©‡b †Kvb ai‡bi A_©vqb Ki‡eb ? e¨vL¨v Ki|

    8. miKvwi A_v©q‡bi g~j jÿ¨ wK ?

    9. c~Y©iæc wjL- BCIC, ADB, IDB, PPP, WTO

    10. PPP wK ? 11. cvwievwiK A_v©qb I miKvwi A_v©q‡bi g‡a¨ 2wU cv_©K¨ †jL|

    12. AvšÍ:Rv©wZK A_v©qb I e¨emvq A_v©q‡bi g‡a¨ 2wU cv_©K¨ †jL|

    13. ‡iwg‡UÝ wK ?

    14. ‡Kvb ai‡bi A_v©q‡b Avg`vwb I ißvwbi LvZ wb‡q Av‡jvPbv Kiv nq ?

    15. evwbR¨ NvUwZ KLb †`Lv †`q ?

    16. evwbR¨ NvUwZ c~i‡Y †KvbwU we‡kl f‚wgKv cvjb K‡i ?

    17. Ae¨emvq cÖwZôvb wKfv‡e A_© msMÖn K‡i ?

    18. A_©vq‡bi me‡P‡q ¸iæZ¡c~Y© aiY †KvbwU ? 19. e¨emvq A_v©qb wK ?

    20. Kvievi cÖwZôvb¸‡jv‡K Kqfv‡M fvM Kiv hvq I wK wK ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL|

    21. †Kvb ai‡bi Kvievwi cÖwZôv‡bi A_v©qb cÖwµqv wfbœ ? †Kb ? - e¨vL¨v Ki|

    22. Kvievwi A_v©q‡bi ¸iæZ¡ e¨vL¨v Ki|

    23. A_v©q‡bi bxwZgvjv KqwU I wK wK ? cÖ‡Z¨KwUi g~jK_v wjL|

    24. Zvij¨ ebvg gybvdv bxwZwU e¨vL¨v Ki|

    25. Zvij¨ I gybvdvi g‡a¨ m¤úK© wKiæc ? - e¨vL¨v Ki|

    26. Zvij¨ I gybvdvi g‡a¨ fvimvg¨ iÿvKvwi bxwZwU e¨vL¨v Ki |

    27. Dchy³Zvi bxwZ I Kviev‡ii ˆewPÎvqY I SuywK e›U‡bi bxwZi g‡a¨ 2wU cv_©K¨ †jL|

  • 28. Avw_©K e¨e¯’vcK Kq ai‡bi wm×všÍ wb‡q KvR K‡ib I wK wK ?

    29. Avq wm×všÍ I e¨q wm×v‡šÍi g‡a¨ 2wU cv_©K¨ †jL|

    30. †Kvb `k‡K Kw¤úDUvi Aa¨v‡qi ïiæ nq ?

    31. †kqv‡ii wewbg‡q wewb‡qvMKvix‡`i wbqwgZfv‡e wK †`qv nq ?

    32. e¨q wm×v‡šÍi Aci bvg wK ? e¨vL¨v Ki | 33. Avq wm×v‡šÍi Aci bvg wK ? e¨vL¨v Ki |

    c«‡qvM I D”PZi `ÿZv t

    1. A_v©q‡bi cÖKvi‡f`

    2. A_v©q‡bi ¸iæZ¡ 3. A_v©q‡bi bxwZgvjv

    4. Avw_©K e¨e¯’vc‡Ki Kvh©vejx

    Aa¨vq t 2 (A_©vq‡bi Drm)

    1. A_v©qb Kx ?

    2. ‡gvU gybvdv Kv‡K e‡j ?

    3. wbU gybvdv Kv‡K e‡j ?

    4. Znwe‡ji Drm KqwU I Kx Kx ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL|

    5. ‡kqvi Kx ?

    6. cÖvB‡fU †Kv¤úvwbi D‡`¨v³vi m`m¨ msL¨v KZ †_‡K KZ n‡Z cv‡i ?

    7. ‡hŠ_g~jabx Kvievi KZ cÖKvi I wK wK ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL| 8. Aew›UZ gybvdv I mwÂwZ Znwej Kx ?

    9. jf¨vsk mgZvKiY Znwej ej‡Z wK eyS ?/ Ôjf¨vsk mgZvKiY Znwe‡ji mv‡_ †Kv¤úvwbi mybvg RwoZÕ Dw³wU

    e¨vL¨v Ki|

    10. ewn ’̄ Znwej‡K †gqv‡`i wfwˇZ Kqfv‡M fvM Kiv hvq I wK wK ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL|

    11. ¯^í‡gqvw` A_v©q‡bi cÖavb Drm Kx ?

    12. MªvgxY e¨vsK, hye Dbœqb e¨vsK, mgevq e¨vsK †_‡K Fb MªnY †Kvb ai‡bi A_v©q‡bi Drm ? e¨vL¨v Ki|

    13. cÖvc¨ wej I cÖ‡`q we‡ji g‡a¨ ỳwU cv_©K¨ †jL|

    14. evwbwR¨K cÎ weµ‡q †KvbwU RvgvbZ wn‡m‡e KvR K‡i ?

    15. e¨vsK F‡Yi gva¨‡g Znwej msMÖ‡ni myweav wjL|

    16. ÿz`ª FY †Kb cÖ`vb Kiv nq ? GwU †Kvb ai‡bi Znwe‡ji Drm ? 17. ga¨‡gqvw` A_©vqb ej‡Z wK eyS ? Gi Drm¸‡jv wK wK ?

    18. `xN©‡gqvw` A_©vqb ej‡Z wK eyS ? Gi Drm¸‡jv wK wK ?

    19. FY I FYcÎ Kv‡K e‡j ? `ywU cv_©K¨ †jL|

    20. †KvbwU‡K `xN©‡gqvw` A_v©q‡bi Awfbe c×wZ ejv nq ? †Kb ? e¨vL¨v Ki|

    21. AvšÍRv©wZK gy`ªv Znwej ( IMF) Kx ? 22. mwVK Znwe‡ji Drm wbev©P‡bi we‡eP¨ welq¸‡jv wK wK ?

    23. g~j¨evb hš¿cvwZ, Rwg, `vjvb‡KvVv BZ¨w` µq Ki‡Z †Kvb ai‡bi Znwej e¨envi Kiv nq ?

    24. cÖwZôv‡bi KvPuvgvj µq, gRywi cÖ`vb ,evwofvov cÖ`vb BZ¨w` e¨q wbev©‡ni Rb¨ †Kvb ai‡bi Znwej e¨envi Kiv

    nq ?

    c«‡qvM I D”PZi `ÿZv t

    1. A_v©q‡bi Znwe‡ji Drmmg~n (¯^í, ga¨ I `xN©‡gqv`x)

    2. A_v©q‡bi Drm wbev©P‡bi we‡eP¨ wlqmg~n

    Aa¨vq t 3 (A‡_©i mgq g~j¨)

  • 1. A‡_©i mgq g~j¨ Kx ?

    2. A‡_©i mgq g~‡j¨i g~j KviY Kx ?

    3. e¨emv‡qi cÖwZwU wm×v‡šÍi mv‡_ wK RwoZ ?

    4. A‡_©i mgq g~‡j¨i ¸iæZ¡ we‡kølY Ki|

    5. my‡hvM e¨q Kx ? e¨vL¨v Ki| 6. Ôiæj 72Õ K x ?

    7. A‡_©i eZ©gvbg~j¨ I fwel¨r g~‡j¨i g‡a¨ `ywU cv_©K¨ †`LvI|

    8. my` Avm‡ji Dci †h my` cÖ`vb Kiv nq Zv‡K wK e‡j ? e¨vL¨v Ki|

    9. Pµe„w×KiY c×wZ Kx ? e¨vL¨v Ki|

    10. Pµe„w×i mv‡_ fwel¨Z g~j¨ m¤úwK©Z - e¨vL¨v Ki|

    11. evÆvKib cÖwµqv Kx ? e¨vL¨v Ki|

    12. evÆvKi‡Yi mv‡_ eZ©gvb g~j¨ m¤úwK©Z - e¨vL¨v Ki|

    13. Pµe„w×KiY c×wZ I evÆvKiY c×wZi g‡a¨ `ywU cv_©K¨ †`LvI|

    14. EAR Gi c~Y©iæc Kx ? cÖK…Z my‡`i nvi Kv‡K e‡j ?

    c«‡qvM I D”PZi `ÿZv t

    1. evwl©K Pµe„w× ev evÆvKi‡Y A‡_©i eZ©gvb I fwel¨r g~j¨ wbb©q

    2. eQ‡i GKvwaKevi Pµe„w× ev evÆvKi‡Y A‡_©i eZ©gvb I fwel¨r g~j¨ wbb©q

    3. my‡`i nvi I my‡`i cwigvb wbb©q

    4. Kvh©Kix/cÖK…Z my‡`i nvi wbb©q

    5. wm×všÍ MÖnY

    Aa¨vq t 4 (SuywK I AwbðqZv)

    1. SyuwK Kx ? 2. cÖZ¨vkvi evwn‡i †Kvb wKQz NUvi m¤¢vebv‡K Kx e‡j ?

    3. AwbðqZv Kx ?

    4. ‡KvbwU †_‡K SuywKi m„wó nq ?

    5. SyuwK I AwbðqZvi g‡a¨ `ywU cv_©K¨ †`LvI|

    6. SuywKi Drm KqwU I wK wK ? cÖ‡Z¨K cÖKv‡ii SuywKi msÁvmn 2wU K‡i ˆewkó¨ wjL|

    7. cwiPvjbv LiP cwi‡kv‡ai AÿgZv †_‡K m„ó SuywKwU e¨vL¨v Ki|

    8. `vq cwi‡kv‡ai AÿgZv †_‡K m„ó SuywKwU e¨vL¨v Ki|/ `vq cwi‡kv‡ai AÿgZv †_‡K †Kvb SuywKi m„wó nq ? e¨vL¨v

    Ki

    9. e¨emvwqK SuywK I Avw_©K SuywKi g‡a¨ ỳwU cv_©K¨ †`LvI|

    10. e¨emvwqK SuywK I Avw_©K SuywK †gvKv‡ejvq wK wK c`‡ÿc MÖnY Kiv hvq ? e¨vL¨v Ki| 11. eÛ G wewb‡qvMKvwi‡`i wK‡mi SyuwK enb Ki‡Z nq ? e¨vL¨v Ki|

    12. my‡`i nv‡ii SuywK I Zvij¨ SuywKi 2wU K‡i ˆewkó¨ wjL|

    13. †Kvb ai‡bi Kviev‡i Zvij¨ SuywK A‡bK †ewk ?

    14. SuywKi Zvrch© e¨vL¨v Ki|

    15. SuywKgy³ Avq I SuywKeûj Avq Kx ? D`vniYmn e¨vL¨v Ki|

    16. Av`k© wePz¨wZ †Kvb ai‡bi c×wZ ?

    17. Av`k© wePz¨wZ Kx ? GwU wbY©‡qi m~Î wjL| G‡ÿ‡Î wKfv‡e wm×všÍ MÖnb Kiv nq ?

    cÖ‡qvM I D”PZi `ÿZv t

    1. Mo Avq/cÖZ¨vwkZ Avq wbb©q

    2. Av`k© wePz¨wZ/SuywK wbb©q

    3. wm×všÍ MÖnY

  • Aa¨vq t 5 (g~jabx Avq-e¨q cÖv°jb )

    1. g~jab ev‡RwUs Kx ? 2. A_v©q‡bi mvd‡j¨i PvweKvwV ejv nq †KvbwU‡K ?

    3. gyw` †`vKvwbi wd«R µq †Kvb ai‡bi wewb‡qvM wm×všÍ ? e¨vL¨v Ki|

    4. g~jab ev‡RwUs Gi ¸iæZ¡ e¨vL¨v Ki|

    5. ‡Kvb †Kvb †ÿ‡Î g~jab ev‡RwUs cÖ‡qvM Kiv nq e¨vL¨v Ki|

    6. cY¨ ˆewPÎvqY ej‡Z wK eyS ?

    7. `xN©‡gqvw` wewb‡qvM wm×v‡šÍ g~jab ev‡RwUs cÖwµqv cÖ‡qv‡M RwoZ avc KqwU I wK wK ? e¨vL¨v Ki|

    8. g~jab ev‡RwUs cÖwµqvq evUªvi nvi wn‡m‡e Kx e¨envi Kiv nq ?

    9. bM` cÖevn Kv‡K e‡j ? wKfv‡e bM` AvšÍ :cÖevn I ewn: cÖevn N‡U ?

    10. Kx †_‡K cÖwZôv‡b bM` AvšÍ:cÖevn N‡U ?

    11. g~jab ev‡RwUs Gi c×wZmg~n wK wK ? msÁv mn 2wU K‡i ˆewkó¨ †jL| 12. g~jab ev‡RwUs Gi me‡P‡q mij I RbwcÖq c×wZ †KvbwU ?

    13. c~Y©iæc †jL : ARR, PBP,NPV, IRR

    14. Mo gybvdvi nvi Kg n‡j wK nq ?

    15. g~jab ev‡RwUs Gi me‡P‡q mij I RbwcÖq c×wZ †KvbwU ?

    16. Mo gybvdvi nvi c×wZ I †c e¨vK mgq c×wZi g‡a¨ `ywU cv_©K¨ †jL|

    Aa¨vq t 6 (g~jab e¨q)

    1. g~jab e¨q Kx ?/ Znwej LiP Kx ?

    2. g~jab e¨‡qi ZvZch© e¨vL¨v Ki| 3. Kvg¨ FY bxwZ Kx ? e¨vL¨v Ki|

    4. ‡gvU g~jab Kv‡K e‡j ?

    5. g~jab wgkÖb ej‡Z wK eyS ?

    6. FY g~ja‡bi †ÿ‡Î my‡`i nvi‡K e¨emv‡qi Kx e‡j ?

    7. FY g~jab e¨q Kx ? Ki mgšq̂K…Z FY g~jab e¨q wbb©‡qi m~Î wjL|

    8. Ôwewb‡qvM hZ SuywKc~Y© cÖZ¨vwkZ Avq ZZ †ewkÕ e¨vL¨v Ki|

    9. AMÖvwaKvi †kqv‡ii g~jab e¨q Kx ? GwU wbb©‡qi m~Î wjL|

    10. AMÖvwaKvi †kqv‡ii g~jab e¨q wK‡mi Dci wbf©i K‡i ?

    11. mvaviY †kqv‡ii g~jab e¨q Kx ? GwU wbb©‡qi c×wZ KqwU I wK wK ? cÖ‡Z¨KwU c×wZi msÁv mn m~Î wjL|

    12. jf¨vsk1, jf¨vsk0, †kqvig~j¨0 ej‡Z wK eyS ? 13. msiwÿZ Av‡qi my‡hvM e¨q e¨vL¨v Ki|

    14. Mo g~jabx e¨q Kx ?

    Aa¨vq t 7 (‡kqvi, eÛ I wW‡eÂvi)

    1. wewb‡qv‡Mi nvwZqvi ¸‡jv wK wK ?

    2. cvewjK wj: †Kv:i g~jab ev Znwej msMÖ‡ni GKwU ¸iæZ¡c~Y© Drm †KvbwU ?

    3. wewb‡qvMKvwi‡`i Rb¨ †KvbwU µq GKwU SuywKc~Y© wewb‡qvM ?

    4. ‡Kvb ai‡bi †kqv‡i wewb‡qvM me‡P‡q SuywKc~Y© e‡j we‡ewPZ nq ? KviYmn e¨vL¨v Ki| 5. mvaviY †kqv‡i wewb‡qv‡Mi myweav- Amyweav e¨vL¨v Ki|

    6. ‡Kv¤úvwbi †Kvb wewb‡qvM †_‡K wbwÏó© nv‡i jf¨vsk cvIqv hvq ?

    7. ‡kqv‡ii iæcvšÍi‡hvM¨Zv ej‡Z wK eyS ?

    8. AMÖvwaKvi †kqv‡i wewb‡qv‡Mi myweav- Amyweav e¨vL¨v Ki|

    9. wejw¤̂Z †kqvi Kv‡K e‡j ?

  • 10. ‡Kvb †kqvi‡K cÖeZ©‡Ki †kqvi e‡j AwfwnZ Kiv nq ?

    11. ivBU †kqvi Kx ?

    12. ‡evbvm †kqvi Kv‡K e‡j ?

    13. †Kvb ai‡bi jf¨vsk Øviv †Kv¤úvwbi †kqvi msL¨v e„w× cvq ?

    14. eÛ Kx ? e‡Ûi 2wU K‡i ˆewkó¨, myweav I Amyweav †jL| 15. wW‡eÂvi Kx ? wW‡eÂv‡ii 2wU K‡i ˆewkó¨, myweav I Amyweav †jL|

    16. wW‡eÂv‡ii gvwjKiv Kv‡`i mgvb ghv©̀ v †fvM K‡i ?

    17. eÛ I wW‡eÂv‡ii g‡a¨ `ywU cv_©K¨ †jL|

    18. †kqvi evRvi Kx ? evsjv‡`‡k KqwU ÷K GK‡PÄ i‡q‡Q I wK wK ?

    19. m~PK Kx ? GwU †Kb e¨envi Kiv nq ?

    20. ‡kqvi evRv‡i wewb‡qvMKvixiv KqwU Dcv‡q wewb‡qvM Ki‡Z cv‡i I wK wK ? msÁvmn 2wU ˆewkó¨ †jL|

    21. wewb‡qvMKvixiv wb‡R‡`i g‡a¨ †kqvi µq weKªq K‡i †Kvb evRv‡i ?/ †m‡KÛvwi evRvi wK ?

    22. ‡kqvi‡nvìvi‡`i g‡a¨ e›UbK…Z gybvdvi Ask Kx ? e¨vL¨v Ki|

    23. †Kv¤úvwb mvavibZ Kqfv‡e jf¨vsk w`‡Z cv‡i I wK wK ?

    24. bM` jf¨vsk I ÷K jf¨vs†ki g‡a¨ `ywU cv_©K¨ †`LvI| 25. †Kvb jf¨vsk bxwZ‡Z AwR©Z jvf †_‡K mgcwigvb UvKv jf¨vsk cÖ`vb Kiv nq ?

    26. †Kvb jf¨vsk bxwZ‡Z Av‡qi Kg Ask jf¨vsk cÖ`vb Kiv nq ?

    27. w ’̄wZkxj jf¨vsk bxwZ wK †Kv¤úvwbi mybvg a‡i ivLvi Rb¨ h‡_ó ? gZvgZ `vI|

    Aa¨vq t 8 (gy`ªv, e¨vsK I e¨vswKs)

    1. wewbgq cÖ_v Kx ? 2. gy ª̀vi BwZnvm wKiæc ? e¨vL¨v Ki| 3. ‡Kvb kZvãx‡Z Kv¸wR gy`ªvi cÖPjb ïiæ nq ? 4. Kv¸wR gy`ªv cÖPj‡bi KviY e¨vL¨v Ki| 5. gy ª̀v Kx ? 6. gy ª̀vi Kvhv©ejx KqwU I wK wK ? cÖ‡Z¨KwU D`vniYmn e¨vL¨v Ki| 7. ‡KvbwU‡K e¨vsK e¨e¯’vi Rbbx Kjv nq ? †Kb ? e¨vL¨v Ki|/ gy`ªv‡K e¨vsK e¨e¯’vi Rbbx ejv nq †Kb ? 8. RbM‡bi mwÂZ A_© e¨vsK wK wn‡m‡e MÖnb K‡i ? 9. e¨vsK k‡ãi A_© Kx ? 10. e¨vsK kãwUi DrcwË †Kvb kã n‡Z ? 11. e¨vswKs Kx ? e¨vL¨v Ki| 12. e¨vsKvi Kv‡`i‡K ejv nq ? / e¨vswKs e¨emv‡q wjß e¨w³‡K Kx e‡j ? 13. fviZ A‡ji cÖ_g AvaywbK åvs‡Ki bvg wK ? GwU KZ mv‡j cÖwZwôZ nq ? 14. fviZ I cvwK Í̄v‡bi †K›`ªxq e¨vs‡Ki bvg wK ? G¸‡jv KZ mv‡j cÖwZwôZ nq ? 15. evsjv‡`‡ki †K› ª̀xq e¨vs‡Ki bvg wK ? GwU KZ mv‡j cÖwZwôZ nq ? 16. evsjv‡`‡k KqwU ivó&ªvqZ¡ e¨vsK Av‡Q ? G¸‡jvi bvg wjL|

    Aa¨vq t 9 (e¨vswKs e¨emv I Zvi aib)

    1. wbivcËvi bxwZ Kx ? 2. e¨vs‡Ki Zvij¨ bxwZ Kx ? 3. e¨vswKs Kvh©µ‡g Avw_©K m”QjZvi cÖ‡qvRb †Kb ? e¨vL¨v Ki| 4. Avw_©K m”QjZvi Afv‡e e¨vsK Kx n‡Z cv‡i ? 5. ‡MvcbxqZvi bxwZ ej‡Z wK eyS ?

  • 6. wgZe¨wqZvi bxwZ Kv‡K e‡j ? 7. `ÿ e¨vsK e¨emv‡qi mdjZvi c~e©kZ© †KvbwU ? 8. KvVv‡gv wfwˇZ e¨vsK KZ cÖKvi I wK wK ? cÖ‡Z¨K cÖKv‡ii D`vniY I msÁvmn 2wU K‡i ˆewkó¨ wjL| 9. GKK e¨vsK Kx ?/ evsjv‡`‡k †Kvb ai‡bi e¨vsK e¨e¯’vi cÖPjb †bB ? 10. ‡PBb e¨vs‡Ki g~j/gyL¨ D‡Ïk¨ Kx ? 11. Kvh©wfwˇZ e¨vsK KZ cÖKvi I wK wK ? cÖ‡Z¨K cÖKv‡ii D`vniY I msÁvmn 2wU K‡i ˆewkó¨ wjL| 12. ‡Kvb e¨vsK gy`ªvi cÖPjb K‡i ? 13. wewWweGj Kx ? 14. ̄ ‹zj e¨vswKs Kx ? e¨vL¨v Ki| 15. BRviv Kx ? 16. we‡lkvwqZ, agx©q, AvÂwjK e¨vs‡Ki ms½v `vI|

    Aa¨vq t 10 (evwbwR¨K e¨vsK I Zvi cwiwPwZ)

    1. evwbwR¨K e¨vsK Kv‡K e‡j ? 2. evwbwR¨K e¨vs‡Ki †gŠwjK D‡Ïk¨ †KvbwU ? 3. evwbwR¨K e¨vs‡Ki Kvhv©ejxmg~n e¨vL¨v Ki| 4. evwbwR¨K e¨vsK RbM‡bi gv‡S wK‡mi cÖebZv m„wó K‡i ? 5. FYMÖnxZv‡K e¨vs‡Ki FY MÖn‡bi mgq Kx Lyj‡Z nq ? 6. FY AvgvbZ m„wó ej‡Z wK eyS ?/ evwbwR¨K e¨vsK wK‡mi gva¨‡g AvgvbZ m„wó K‡i ? 7. evwbwR¨K e¨vsK wKfv‡e wewbg‡qi gva¨g m„wó K‡i ? 8. evwbwR¨K e¨vsK wKfv‡e gy`ªv cÖPj‡b mvnvh¨ K‡i ? e¨vL¨v Ki| 9. cÖZ¨qcÎ Kx ?/LC Kx ? evwbwR¨K e¨vsK wKfv‡e ˆe‡`wkK evwb‡R¨/ Avg`vwb ißvwb evwb‡R¨ mvnvh¨ K‡i ? 10. evwbwR¨K e¨vsK wKfv‡e A‡_©i wbivcËv w`‡q _v‡K ? 11. cwi‡kvwaZ g~jab Kx ? 12. msiwÿZ Znwej Kv‡K e‡j ? 13. evwbwR¨K e¨vs‡Ki Av‡qi Drm¸‡jv wK wK ? 14. ‡`‡ki A_©bxwZ‡Z evwbwR¨K e¨vsK wKfv‡e cÖavb f~wgKv cvjb K‡i ? e¨vL¨v Ki|

    Aa¨vq t 11 (e¨vs‡Ki AvgvbZ)

    1. e¨vswKs e¨emv‡q Znwe‡ji g~j Drm Kx ? 2. e¨vsK AvgvbZ Kx ? 3. e¨vs‡K UvKv Rgv ivL‡j wK cvIqv hvq ? 4. e¨vs‡K wewfbœ cÖKvi wnmve †Lvjvi e¨e¯’v ivLvi KviY e¨vL¨v Ki| 5. e¨vsK wnmve‡K mvaviYZ Kqfv‡M fvM Kiv hvq I wK wK ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL| 6. e¨vs‡Ki †Kvb wnmv‡e my` cÖ`vb Kiv nq bv ? 7. e¨emvqx‡`i Rb¨ ‡Kvb ai‡bi wnmve Dc‡hvMx ? 8. M„nwYx, PvKzwiRxwe I Qv·`i Rb¨ ‡Kvb ai‡bi wnmve Dc‡hvMx ? KviYmn e¨vL¨v Ki| 9. e¨vs‡Ki †Kvb wnmv‡e MÖvnK wbwÏ©ó mg‡qi c~‡e© my`mn UvKv D‡ËvjY Ki‡Z cvi‡e bv ? 10. PjwZ wnmve I mÂqx wnmv‡ei g‡a¨ `ywU cv_©K¨ †jL| 11. me©wb¤œ KZ mg‡qi Rb¨ †gqvw` AvgvbZ ivLv nq ? 12. wegv mÂqx wnmve Kx ?

  • 13. ‡Kvb ai‡bi wnmve Ly‡j wegvi myweav cvIqv hvq ? 14. wW‡cvwRU †cbkb ¯‹xg ej‡Z wK eyS ? 15. FY AvgvbZx wnmve Kv‡K e‡j ? 16. ‡iwm‡W›U d‡ib Kv‡iÝx wW‡cvwRU (RFCD) Kx ? 17. ‡iwm‡W›U d‡ib Kv‡iÝx wnmve Kv‡`i Rb¨ cÖ‡hvR¨ ? 18. e¨vs‡K wnmve †Lvjvi †ÿ‡Î wK wK welq we‡ePbv Ki‡Z nq ? e¨vL¨v Ki| 19. B‡jKUªwbK e¨vswKs Kx ? A_ev B e¨vswKs Kx ? Gi †mev mg~‡ni bvg wjL| 20. ‡WweU KvW© I †µwWU KvW© Kx ? G‡`i g‡a¨ `ywU cv_©K¨ †`LvI| 21. ‡Kvb B‡jKUªwbK e¨vswKs c‡Y¨i Rb¨ e¨vs‡K wnmve _vKvi Avek¨KZv †bB ? 22. GwUGg (ATM) Kx ? Gi c~Y©iæc †jL| 23. ‡dvb e¨vswKs, GmGgGm e¨vswKs, B›Uvi‡bU e¨vswKs Kx ? 24. AbjvBb e¨vswKs ej‡Z Kx eyS ? 25. B‡jKUªwbK e¨vswKs†qi ¸iæZ¡ e¨vL¨v Ki|

    Aa¨vq t 12 (e¨vsK I MÖvnK)

    1. e¨vswKs e¨emv‡qi g~jgš¿ Kx ?

    2. e¨vswKs e¨emv‡q wjß e¨w³‡K Kx e‡j ?/ e¨vsKvi Kv‡K e‡j ?

    3. e¨vsK I MÖvn‡Ki ga¨Kvi m¤úK© e¨vL¨v Ki|

    4. e¨vsK Kvi cÖwZwbwa wn‡m‡e KvR K‡i ?

    5. ‡PK Kx ? KZcÖKvi I wK wK ? cÖ‡Z¨K cÖKv‡ii msÁvmn 2wU K‡i ˆewkó¨ wjL|

    6. ‡Kvb KvM‡Ri gva¨‡g e¨vsK Av‡`k Abyhvwq cÖvcK‡K UvKv †`q ?

    7. n¯ÍvšÍi‡hvM¨ wewbgq wej ejv nq †KvbwU‡K ?

    8. evnK †PK I ûKzg †P‡Ki g‡a¨ `ywU cv_©K¨ †jL|

    9. `vMKvUv †PK Kx ? GwU AwaK wbivc` †Kb ? 10. e¨vs‡Ki mv‡_ Pzw³e× n‡j e¨vsK MÖvn‡Ki cÖwZ wK wK `vwqZ¡ cvjb Ki‡e e‡j Zzwg g‡b Ki ? gZvgZ `vI|

    11. e¨vsK I MÖvn‡Ki m¤ú‡K©i cwimgvwß N‡U wK wK Kvi‡Y e¨vL¨v Ki|

    12. †`Iwjqv Kx ?

    Aa¨vq t 13 (‡K› ª̀xq e¨vsK)

    1. ‡K› ª̀xq e¨vsK Kx ?

    2. ‡K›`ªxq e¨vsK Kx ai‡bi cÖwZôvb ? Gi gyL¨ D‡Ïk¨ Kx ?

    3. e¨vsK e¨e¯’v I gy`ªv evRvi wbqš¿YB †K›`ªxq e¨vsK m„wói cÖavb D‡Ïk¨ - e¨vL¨v Ki|

    4. ‡Kvb e¨vsK AvšÍRv©wZK ch©v‡q miKv‡ii cÖwZwbwa wn‡m‡e KvR K‡i ?

    5. ‡K› ª̀xq e¨vs‡Ki Kvhv©ejx e¨vL¨v Ki|

    6. ‡K› ª̀xq e¨vsK Kxfv‡e FY wbqš¿Y K‡i ? e¨vL¨v Ki|

    7. ‡K› ª̀xq e¨vsK ‡KvbwU w¯’wZkxj iv‡L ?

    8. wbKvk Ni Kx ?

    9. ‡K› ª̀xq e¨vsK Kx‡mi gva¨‡g evwbwR¨K e¨vsK¸‡jvi cvi¯úwiK †jb‡`b wb®úwË K‡i ? 10. ‡K› ª̀xq e¨vs‡K FY `v‡bi †kl AvkÖq¯’j ejv nq †Kb ?

    11. Ab¨vb¨ e¨vs‡Ki e¨vsKvi wn‡m‡e ‡K› ª̀xq e¨vsK Kx Kx Kvhv©ejx m¤úv`b K‡i ? e¨vL¨v Ki|

    12. ‡K› ª̀xq e¨vsK ‡Kvb e¨vs‡Ki Kvhv©ejx wbqš¿qY K‡i ?

    13. e¨vsK e¨e¯’vi Dbœq‡b †Kvb e¨vsKwUi f‚wgKv ¸iæZ¡c~Y© e‡j Zywg g‡b Ki ? we‡kølY Ki|

    14. evsjv‡`k e¨vs‡Ki e¨e¯’vcbv cÖavb wn‡m‡e †K KvR K‡ib ? GwU K‡e MwVZ n‡q‡Q ?/ †K› ª̀xq e¨vs‡Ki cÖavb wbe©vwn‡K

    wK e‡j ?

  • 15. ‡K› ª̀xq e¨vsK I evwbwR¨K e¨vs‡Ki g‡a¨ cv_©K¨ †`LvI|

    16. ‡K› ª̀xq e¨vsK I evwbwR¨K e¨vs‡Ki g‡a¨ wK wK m¤úK© we`¨gvb ? e¨vL¨v Ki|

    17. evwbwR¨K e¨vsK¸‡jv †Kv_vq eva¨Zvg~jK wiRvf© Rgv iv‡L ?

    18. wewae× wiRvf© Kx ?

    - mgvß -

    লালবাগ সরকারর মডেল সু্কল এন্ড কডলজ

    বারিক পরীক্ষার সাডজশন

    নবম শশনী - রবিয়: গরিত

    অনু:১: ২১,২২

    উদাহরি: ১, ২ , পরতক্ষা

    অনু: ২.১: ১,৪,৬,৭,১০,১২

    উদাহরি: ১২

    অনু: ৩.১: ৫, ৮, ১৫

    উদাহরি: ৭, ৮

    অনু: ৩.২: ১৪,১৫,১৬,১৭

    অনু: ৯.১: ২,১৭,২০,২১,২৪,২৫

    উদাহরি: ১১, wÎশকািরমরতর অডেদবরলর পমাি।

    অনু: ৯.২: ১৮,১৯,২০,২১,২৩,২৮,২৯,৩০

    অনু: ১৬.১ : ৫,৭,১০

    অনু: ১৭: ১২,১4

  • jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

    bgybv wnmv‡e m„Rbkxj cÖkœ

    beg †kÖYx ( weÁvb )

    D”PZi MwYZ

    ÕKÕ wefvM- exRMwYZ

    1| A = { x ε N : x2 -3x – 4 = 0 } , B = { x ε N : x2 + 3x + 2 } Ges C = { 2, 4, 6 } |

    (K) A ‡mU‡K ZvwjKv c×wZ‡Z cÖKvk Ki |

    (L) B ‡mU‡K ZvwjKv c×wZ‡Z cÖKvk K‡i †`LvI †h, A U ( B ∩ C ) = (A U B) ∩ (A U C)

    (M) cÖgvY Ki †h, A × ( B ∩ C ) = ( A × B ) ∩ ( A × C )

    2| `kg †kÖwYi 100 Rb wkÿv_©xi g‡a¨ wµ‡KU †Ljv cQ›` K‡i 49 Rb, dzUej †Ljv cQ›` K‡i 40 Rb, fwjej

    †Ljv cQ›` K‡i 39 Rb, wµ‡KU I dzUej †Ljv cQ›` K‡i 13 Rb, wµ‡KU I fwjej †Ljv cQ›` K‡i 12 Rb,

    dzUej I fwjej †Ljv cQ›` K‡i 10 Rb Ges 1 Rb wkÿv_x© †Kv‡bv †Ljv cQ›` K‡i bv|

    (K) cÖ`Ë Z_¨‡K †fbwP‡Îi gva¨‡g cÖKvk Ki| (L) KZRb wkÿv_x© wZbwU †LjvB cQ›` K‡i Zv

    wbY©q Ki|

    (M) ‡KejgvÎ GKwU Ges ïay ỳBwU †Ljv cQ›`Kvixi msL¨v wbY©q Ki|

    3| f(x) = x3 + 5x2 + 6x+ 8 I g(x) = 22 11

    2

    xx

    x ỳBwU dvskb |

    (K) f(-2) wbY©q Ki|

    (L) f(x) ‡K x – a Gi x – b Øviv fvM Ki‡j hw` GKB fvM‡kl _v‡K †hLv‡b a ≠ b, Z‡e †`LvI †h,

    a2 + b2 + ab + 5a + 5b + 6 = 0 (M) g(x) ‡K AvswkK fMœvs‡k cÖKvk Ki|

    4| F(x) = 3x-1 GKwU dvskb|

    (K) F(5) Ges F

    2

    3 Gi gvb wbY©q Ki| (L) dvskbwU GK-GK wK bv Zv wbY©q Ki|

    (M) F(x) = y n‡j, y = 3x-1 Gi †jLwPÎ AvuK|

    5| F ( x , y , z ) = x3 + y3 + z3 – 3xyz n‡j,

    (K) ‡`LvI †h , F (x , y, z) GKwU PµµwgK ivwk|

    (L) F (x , y, z) ‡K Drcv`‡K we‡kølY Ki Ges †`LvI †h, x2 + y2 + z2 = xy + yz + zx ,

    ‡hLv‡b F (x , y, z) = 0 ; x + y + z ≠ 0

    (M) x = b + c - a , y = c + a - b I z = a + b - c n‡j , †`LvI †h, F (a , b, c) t F (x , y, z) = 1

    t 4

    6| ( x + 3) , ( x2 – 9) , ( x3 + 27 ) I ( x4 – 81 ) PviwU exRMwYZxq ivwk|

    (K) cÖ`Ë ivwk¸‡jv n‡Z GKwU cÖK…Z I GKwU AcÖK…Z g~j` fMœvsk wbY©q Ki| (L)

    9

    272

    3

    x

    x †K AvswkK

    fMœvs‡k

    cÖKvk Ki| (M) 1g, 2q I 4_© ivwkmg~‡ni cÖ‡Z¨‡Ki ¸YvZœK wecixZ ivwki mgwó‡K mij

    Ki|

    7| GKwU msL¨vi e‡M©i wظY msL¨vwUi 5 ¸Y †_‡K 3 Kg| wKš‘ H msL¨vwUi e‡M©i 3 ¸Y msL¨vwUi 5 ¸Y †_‡K 3

    †ewk|

    (K) cÖ`Ë Z‡_¨i wfwˇZ ỳBwU mgxKiY MVb Ki| (L) m~‡Îi mvnv‡h¨ 1g mgxKiY mgvavb Ki|

  • (M) ‡jLwP‡Îi mvnv‡h¨ 2q mgxKiY mgvavb Ki|

    8| ỳB A¼wewkó GKwU msL¨v‡K Gi A¼Ø‡qi ¸Ydj Øviv fvM Ki‡j fvMdj 2 nq| msL¨vwUi mv‡_ 27 †hvM

    Ki‡j

    A¼Øq ¯’vb wewbgq K‡i|

    (K) cÖ`Ë Z_¨ n‡Z ỳBwU mgxKiY MVb Ki| (L) msL¨vwU wbY©q Ki| (M) msL¨vwUi A¼Øq †Kv†bv

    Avq‡Zi

    ‰`N©¨ I cÖ¯’ n‡j,AvqZwUi K‡Y©i mgvb evûwewkó e‡M©i KY©, cwimxgv I †ÿÎdj wbY©q Ki|

    9| bv›Uz wgqvi Rwgi †ÿÎdj 0.12 †n±i| RwgwUi Aa©cwimxgv Gi GKwU KY© A‡cÿv 20 wgUvi †ewk| wZwb Zvui

    Rwg

    †_‡K k¨vgeveyi wbKU GK-Z…Zxqvsk wewµ K‡ib| k¨vgeveyi Rwgi ˆ`N©¨ , cÖ¯’ A‡cÿv 5 wgUvi †ewk|

    (K) DÏxc‡Ki Av‡jv‡K ỳBwU mgxKiY MVb Ki| (L) mgxKiYØq mgvavb K‡i bv›Uz wgqvi Rwgi ˆ`N©¨ I cÖ¯’

    wbY©q Ki|

    (M) k¨vgeveyi RwgwUi K‡Y©i ˆ`N©¨ I cwimxgv wbY©q Ki|

    10| GKwU AvqZ‡ÿ‡Îi ˆ`N©¨ Zvi cÖ‡¯’i wظY A‡cÿv 10 wgUvi Kg| †ÿÎwUi †ÿÎdj 600 eM©wgUvi|

    (K) cÖ`Ë Z_¨vbymv‡i `yBwU mgxKiY MVb Ki| (L) mgxKiY ‡RvU mgvavb K‡i ‡ÿÎwUi ˆ`N©¨

    wbY©q Ki|

    (M) mgxKiY ‡RvU‡K †jLwP‡Îi mvnv‡h¨ mgvavb Ki|

    11| XvKv †_‡K †RÏvi wegvb c‡_ ~̀iZ¡ 5000 wKt wgt| †RU wegv‡bi m‡e©v”P MwZ‡eM N›Uvq 900 wKt wgt| wKš‘

    XvKv

    †_‡K †RÏv hvevi c‡_ cÖwZK~j w`‡K N›Uvq 100 wKt wgt †e‡M evqy cÖev‡ni m¤§,yLxb nq|

    (K) cÖ‡qvRbxq mgq t N›Uv a‡i DÏxcK‡K AmgZvq cÖKvk Ki| (L) b~b¨Zg mgq wbY©q Ki Ges Zv

    msL¨v‡iLvq †`LvI|

    (M) †RÏv †_‡K XvKv †divi c‡_ cÖ‡qvRbxq mgq‡K x a‡i mgm¨vwU‡K AmgZvq cÖKvk K‡i †j‡Li mvnv‡h¨

    mgvavb Ki|

    12| ...............................8

    1

    4

    1

    2

    11 GKwU Amxg aviv|

    (K) avivwUi x Zg c` wbY©q Ki| (L) avivwUi AmxgZK mgwó wbY©q Ki|

    (M) avivwUi x Zg c` 256

    1 A‡cÿv eo n‡j, GKwU AmgZv MVb K‡i Zvi mgvavb †m†Ui ‡jLwPÎ AvuK|

    13| wb‡¤œi avivwU jÿ¨ Ki t

    ...............................

    12

    1

    12

    1

    12

    132

    xxx

    (K) x = 1 n‡j, avivwU wbY©q Ki| cÖvß avivwUi mvaviY AbycvZ KZ ?

    (L) ÕKÕGi avivwUi 10g c` I cÖ_g 10wU c‡`i mgwó wbY©q Ki|

    (M) cÖ`Ë avivwUi x Gi Dci wK kZ© Av‡ivc Ki‡j avivwUi AmxgZK mgwó _vK‡e Ges mgwó wbY©q Ki|

    ÕLÕ wefvM t R¨vwgwZ I †f±i

    1| wPÎwU jÿ¨ Ki t

    A

  • S G E

    O

    B P D C

    wP‡Î, S I O h_vµ‡g cwi‡K› ª̀ I j¤^we› ỳ| AP ga¨gv, BC = a, AC = b Ges AB = c

    (K) OA Ges SP Gi g‡a¨ m¤úK© wbY©q Ki| (L) ‡`LvI †h, S, G, O GKB mij †iLvq Aew¯’Z|

    (M) C m~²‡KvY n‡j, a.CD = b.CE mgxKiYwU cÖwZôv Ki|

    2| wPÎwU jÿ¨ Ki t A

    B P D

    C (K) U‡jwgi Dccv`¨ wee„Z Ki| (L) Dccv`¨wU cÖgvY Ki|

    (M) ABC wÎfzRwUi AB = AC Ges R cwie¨vmva© n‡j, cÖgvY Ki †h, AB2 = 2R . AD

    3| wPÎwU jÿ¨ Ki t A

    D E

    B C

    ∆ABC G AB evûi ga¨we›`y DGes DE ║ BC .

    (K) ỳBwU ‡f±i †hv‡Mi wÎfzR wewa ‡jL| (L) †f±‡ii mvnv‡h¨ cÖgvY Ki †h, DE ‡iLv AC Gi

    ga¨we›`yMvgx|

    (M) BCED UªvwcwRqv‡gi AmgvšÍivj evû؇qi ga¨we›`y h_vµ‡g M I N n‡j, ‡f±‡ii mvnv‡h¨ cÖgvY Ki

    †h, MN ║ DE ║ BC Ges MN = 2

    1 ( BC + DE )|

    4| A

    D E

    O

  • B C

    ∆ABC G AB I AC evûi ga¨we›`y h_vµ‡g DI E

    (K)

    DEAD ‡K AC

    ‡f±‡ii gva¨‡g cÖKvk Ki| (L) †f±‡ii mvnv‡h¨ cÖgvY Ki †h, DE ║BC Ges DE

    = 2

    1 BC

    (M) BCED UªvwcwRqv‡gi KY©Ø‡qi ga¨we›`y h_vµ‡g M I N n‡j, ‡f±‡ii mvnv‡h¨ cÖgvY Ki †h, MN ║ DE

    ║ BC

    Ges MN = 2

    1 ( BC- DE )|

    ÕMÕ wefvM t w·KvYwgwZ I m¤¢vebv

    1| wPÎwU jÿ¨ Ki t A

    1

    α β

    B 12 x C (K) sin( α + β ) + cos( α + β ) Gi gvb KZ n‡e ? (L) cÖgvY Ki t ( sin α – cos α )2 = 1 – 2sin α

    . cos α

    (M) 21

    2

    2 x

    x n‡j , α Gi gvb wbY©q Ki|

    2| wP‡Î Ө GKwU m~²‡KvY| P Y

    Ө

    O X

    M

    (K) Ө †Kv‡Yi w·KvYwgwZK AbycvZmg~n D‡jøL Ki| (L) R¨vwgwZK c×wZ‡Z cÖgvY Ki †h, sec2Ө –

    tan2Ө = 1

    (M) a cos – b sin = c n‡j, †`LvI †h, 222cossin cbaba

    3| Ө GKwU m~²‡KvY| Gi w·KvYwgwZK AbycvZ QqwU|

  • (K) AbycvZmg~n wP‡Îi mvnv‡h¨ eY©bv Ki| (L) tanӨ =4

    3 Ges sinӨ FYvZœK n‡j,

    tansec

    cossin

    Gi

    gvb KZ ?

    (M) gvb wbY©q Ki :

    8

    3cos

    18

    37cos

    8

    5sin

    18

    17sin 2222

    4| wPÎwU jÿ¨ Ki t B

    √3 1

    O

    A C

    D

    (K) wP‡Î, o e„‡Ëi †K›`ª n‡j B Gi e„Ëxqgvb Ges AC wbY©q Ki| (L) cÖgvY Ki †h, tanA + tanB + tanC + tanD = 0

    (M) sec + cos = p n‡j, p Gi gvb wbY©q Ki Ges mgxKiYwU mgvavb Ki|

    5| GKwU gy`ªv I GKwU Q°v GKevi wb‡ÿc Kiv n‡jv|

    (K) Dc‡iv³ NUbvi Probability tree A¼b Ki| (L)ÓKÓ n‡Z bgybv †ÿÎwU †jL| GKwU †nW Avmvi m¤¢vebv

    KZ n‡e ?

    (M) ‡`LvI †h, ïay gy`ªvwU n msL¨K evi wb‡ÿc Ki‡j msNwUZ NUbv 2n †K mg_©b K‡i|

    6| GKwU gy`ªv `yBevi wb‡ÿc Kiv n‡jv|

    (K) Dc‡iv³ NUbvi Probability tree A¼b Ki| (L)ÓKÓ n‡Z bgybv †ÿÎwU †jL| cÖ_‡g †nW I

    c‡i †Uj

    Avmvi m¤¢vebv KZ n‡e ? (M) gy`ªvwU n msL¨K evi wb‡ÿc Ki‡j msNwUZ NUbv KZ msL¨K n‡e ?

    7| GKwU Q°v I ỳBwU gy`ªv wb‡ÿc Kiv n‡jv|

    (K) Dc‡iv³ NUbvi Probability tree A¼b Ki| (L) bgybv‡ÿÎ wK ? ÕKÕ n‡Z bgybv †ÿÎ ‰Zwi

    Ki|

    (M) D‡jøwLZ NUbvi Rb¨ wb‡Pi NUbv¸‡jv NUvi m¤¢vebv wbY©q Ki t

    (i) ỳBwU †nW cvIqv ;

    (ii) GKwU †Uj I †Rvo msL¨v cvIqv|

    8| GKwU Q°v I GKwU gy`ªv wb‡ÿc Kiv n‡jv|

    (K) Dc‡iv³ NUbvi Probability tree A¼b Ki| (L) bgybv‡ÿÎ wK ? ÕKÕ n‡Z bgybv †ÿÎ ‰Zwi

    Ki|

    (M) D‡jøwLZ NUbvi Rb¨ wb‡Pi NUbv¸‡jv NUvi m¤¢vebv wbY©q Ki t

    (i) 5H cvIqv ;

    (ii) GKwU †Uj I we†Rvo msL¨v cvIqv|

  • jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

    Aa¨vq wfwËK m¤¢ve¨ cÖkœvejx

    welq t K…wl wkÿv

    cÖYq‡b t mv‡R`v †PŠayix

    cÖfvlK, e¨e¯’vcbv

    jvjevM miKvwi g‡Wj ¯‹zj GÛ K‡jR

    wm‡jevm

    beg †kÖwY `kg †kÖwY

    wmwU-1 Aa¨vq-1I 2 wmwU-1 Aa¨vq-6 I 7

    Aa©-evwl©K Aa¨vq-1 †_‡K 3 cÖvK-wbe©vPbx m¤ú~Y© eB

    wmwU-2 Aa¨vq-4 I 5 wmwU-2 -

    evwl©K Aa¨vq-1 †_‡K 5 wbe©vPbx m¤ú~Y© eB

    Aa¨vq t 1 (K…wl cÖhyw³)

    34. dmj wbev©Pb

    35. dmj Drcv`‡bi Rb¨ Rwg cÖ¯‘wZ

    36. f‚wgÿq I ÿq†iva

    37. exR msiÿY

    38. Lv`¨ msiÿY

    39. gv‡Qi m¤ú~iK Lv`¨

    Aa¨vq t 2 (K…wl DcKiY)

    25. gv‡Qi cyKzi Ges cyKzi cÖ¯‘ZKiY

    26. M„ncvwjZ cvwLi Lv`¨ 27. Mevw`cïi Lv`¨

    Aa¨vq t 3 (K…wl Rjevqy)

    15. weiæc AvenvIqv-mwnòy dmj I dm‡ji RvZ

    16. Rjevqy cwieZ©b I K…wl‡ÿ‡Î cÖfve

    17. Awf‡hRb Kjv †KŠkj

    Aa¨vq t 4 (K…wlR Drcv`b)

    18. dmj Pvl c×wZ - avb I cvU

    19. kvK mewRi Pvl c×wZ 20. gvQ Pvl c×wZ

    21. mgwšẐ gvQ Pvl c×wZ

    22. Jlwa Dw™¢` I Gi e¨envi

    Aa¨vq t 5 (ebvqY)

    17. evsjv‡`‡k ebv‡ji we¯Í…wZ

    18. eY msiÿY wewa 19. eb bvmv©wi

    20. e„ÿ KZ©b I KvV msMÖn

  • Aa¨vq t 6 (K…wl mgevq)

    15. K…wl mgevq Kx I Gi ¸iæZ¡ 16. K…wl mgev‡qi gva¨‡g K…wl DcKiY msMÖn I e¨envi

    Aa¨vq t 7 (cvwievwiK Lvgvi)

    28. cvwievwiK K…wl Lvgvi Kx I Gi ¸iæZ¡

    29. cvwievwiK kvKmewR I †cvwëª Lvgvi

    30. cvwievwiK grm Lvgvi

    31. cvwievwiK ỳ» Lvgvi

    - mgvß -