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এ্যাসাইনমেন্ট/নির্ধারিত কাজ ও মূল্যায়ন নির্দেশনা

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Academic year: 2023

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(1)

†kªwY: 6ô welq t evsjv

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

e¨vKiY Ask : fvlv I evsjv fvlv weivg wPý

L) wb‡Pi Aby‡”Q`wU‡Z h_v¯’v‡b weivgwPý ewm‡q Zv PwjZ ixwZ‡Z wjL:

mKvj †ejvq Avgvi b‡f‡ji mß`k cwi‡”Q‡` nvZ w`qvwQ Ggb mgq wgwb AvwmqvB Avi¤¢ Kwiqv w`j evev ivg`qvj `v‡ivqvb KvKv‡K †KŠqv e‡jwQj †m wKQz Rv‡b bv bv †m Avgvi wjwLevi

†Uwe‡ji cv‡k¦© Avgvi cv‡qi Kv‡Q ewmqv wb‡Ri `yB nuvUz Ges nvZ jBqv AwZ`ª“Z D”Pvi‡Y AvMWyg evMWyg †Lwj‡Z Avi¤¢ Kwiqv w`j Avgvi Ni c‡_i av‡i nVvr wgwb AvMWyg evMWyg †Ljv ivwLqv Rvbvjvi av‡i QzwUqv †Mj Ges wPrKvi Kwiqv WvwK‡Z jvwMj KvewjIqvjv I KvewjIqvjv|

* PjwZ fvlvi wbqg Abyhvqx Aby‡”Q‡`i cÖwZwU evK¨ ï× n‡e

* h_v¯’v‡b weivgwPý emv‡Z n‡e

†KvwfW-19 cwiw¯’wZ‡Z 2020 wk¶ve‡l© cybwe©b¨vmK…Z cvV¨m~wPi wfwˇZ G¨vmvBb‡g›U/wba©vwiZ KvR I g~j¨vqb wb‡`©kbv

†kªwY: 6ô welq t MwYZ

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-3

PZz_© Aa¨vq:

2. exRMwYZxq ivwki m`„k I wem`„k c`

3. GK ev GKvwaK c`

wewkó exRMwYZxq ivwk eY©bv

4. exRMwYZxq ivwki †hvM I we‡qvM

mßg Aa¨vq:

1. †iLvsk cwigvc 2. †iLvsk A¼b 3. †Kv‡Yi wPÎ A¼b Aóg Aa¨vq : 1. Z_¨ I DcvË 2 Aweb¨¯— Dcv‡Ëi Mo, ga¨K I cÖPziK wbY©q

cÖkœ: 01

5x2–2xy+3y2, x2–3xy, –y2+5xy wZbwU exRMwYZxq ivwk n‡j-

K) cÖ_g ivwkwUi c` msL¨v KqwU Ges Kx Kx?

L) ivwk wZbwUi †hvMdj wbY©q Ki|

M) x=3, y=2 n‡j, 1g ivwk †_‡K 3q ivwki we‡qvMd‡ji gvb wbY©q Ki|

cÖkœ: 02

∠ABC = 600

K) ∠ABC †K Puv`vi mvnv‡h¨ AsKb Ki|

L) ∠ABC †K mgwØLwÛZ Ki (i“jvi I K¤úv‡mi mvnv‡h¨)|

M) AsK‡bi wPý I weeiY `vI|

cÖkœ: 03

GKRb wk¶v_©x 40 †_‡K 60 ch©š— msL¨v¸‡jvi g‡a¨ wb‡gœi msL¨v¸‡jv wjLj|

50, 45, 48, 49, 60, 58, 57, 45, 47, 45, 43, 42, 47, K) Dcv˸‡jv‡K web¨¯— Ki|

L) Dcv˸‡jvi Mo wbY©q Ki|

M) Dcv˸‡jvi ga¨K I cÖPziK wbY©q Ki|

1. exRMwYZxq ivwki

†hvM we‡qvM Ki‡Z cviv|

2. i“jvi I K¤úv‡mi mvnv‡h¨ †Kv‡Yi mwØLÛK Gu‡K weeiY w`‡Z cviv|

3. Aweb¨¯— DcvË web¨¯— K‡i Mo, ga¨K I cÖPziK wbY©q Ki‡Z cviv|

(2)

G¨vmvBb‡g‡›U

i µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

Z…Zxq Aa¨vq : K…wl DcKiY

* cvV-1 gvwUi MVb

* cvV-2 gvwUi cÖKvi‡f`

cÂg Aa¨vq:

K…wlR Drcv`b cvV-1 D`¨vb dm‡ji cwiwPZ I A_©‰bwZK

¸i“Z¡

m„Rbkxj cÖkœ :

1) 6ô †kªwYi K…wl wk¶v K¬v‡m gvwU wel‡q wk¶K ej‡jb, me ai‡Yi dmj GKB ai‡Yi gvwU‡Z Pvl Kiv m¤¢e bq| Avjy, Mg, cvU, ZigyR, ev`vg, evavKwc BZ¨vw` dmj¸‡jv Pv‡li Rb¨ wfbœ wfbœ ˆewk‡ó¨i gvwU cÖ‡qvRb nq| wk¶K AviI ej‡jb Ggb GK ai‡Yi gvwU Av‡Q hvi A‡a©K evwjKYv Avi evwK A‡a©K cwjKYv I Kuv`v hy³ nq|

K) DÏxc‡Ki cÖ`Ë dmj¸‡jv Pv‡li Dc‡hvMx gvwUi cÖKvi‡f`

Abyhvqx ZvwjKv ˆZwi Ki|

L) wk¶‡Ki †kl gš—e¨wU †Kvb gvwU‡K wb‡`©k K‡i? e¨vL¨vc~e©K avb Pv‡li Rb¨ GB gvwU Dc‡hvMx Kx bv-hyw³ `vI|

2| †Zvgvi GjvKvq R‡b¥ Ggb dzj, dj, kvKmewR I gmjv RvZxq dm‡ji (cuvPwU K‡i) ZvwjKv ˆZwi Ki Ges G¸‡jvi A_©‰bwZK ¸i“Z¡ eY©bv Ki|

1| K)

* ZvwjKv ˆZwi‡Z mwVKZv

* wbfy©j Z_¨ Dc¯’vcb L)

* welqe¯—yi mwVK aviYv cÖ`vb

* cvV¨cy¯—K I DÏxc‡Ki Av‡jv‡K aviYvi mwVK e¨vL¨v

* welqe¯—yi aviYvi Av‡jv‡K ms‡k lY/ - we‡k lY/hyw³ Dc¯’vcb -

2|

* ZvwjKv ˆZwi‡Z mwVKZv

* wbfy©j Z_¨ Dc¯’vcb

* cÖwZwUi Kgc‡¶ `ywU K‡i A_©‰bwZK ¸i“Z¡ D‡j L -

†KvwfW-19 cwiw¯’wZ‡Z 2020 wk¶ve‡l© cybwe©b¨vmK…Z cvV¨m~wPi wfwˇZ G¨vmvBb‡g›U/wba©vwiZ KvR I g~j¨vqb wb‡`©kbv

†kªwY: 6ô welq t Mvn©¯’¨ weÁvb

G¨vmvBb‡g‡›U

i µg Aa¨vq I welqe¯—

yi wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

PZz_© Aa¨vq:

(cwievi I wkky)

cÂg Aa¨vq : (†QvU‡`i wkóvPvi wk¶v)

GKv`k Aa¨vq:

(Lv`¨vfvm MVb)

PZz`©k Aa¨vq:

(†cvkv‡Ki gRy` I msi¶Y)

iPbvg~jK cÖkœ :

1| wkkyi wewfbœ ˆewk‡ó¨i Dci wfwË K‡i wkkyKvj‡K wefvRb Kivi cÖ‡qvRb Av‡Q Kx? Dˇii ¯^c‡¶ hyw³ `vI|

msw¶ß cÖkœ :

2| K) evev-gv I wk¶K‡K Kxfv‡e m¤§vb Kiv DwPZ?

L) †Zvgvi †kªwY‡Z GKRb `„wó cÖwZeÜx eÜz Av‡Q| Zvi cÖwZ

†Zvgvi AvPiY †Kgb n‡e?

3| wewfbœ cÖvK…wZK `y‡h©v‡Mi c~e©vfvm Rvbvi ci Zzwg Kx ai‡Yi Lvevi gRy` Ki‡e? †Kb? Gme Lvevi‡K Kx ejv nq?

4| kx‡Zi †k‡l kxKvjxb †cvkv‡Ki hZœ Kxfv‡e wb‡e eywS‡q wjL|

1|

* eqm Abyhvqx mwVK wefvRb I bvgKiY

* bvgKiY Abyhvqx AvPiY/ ˆewkó¨

wba©viY

* wefvRb †Kb cÖ‡qvRb Zvi e¨vL¨v cÖ`vb

* Z‡_¨i avivevwnK Dc¯’vcbv 2| K)

* Kgc‡¶ 5wU mwVK Dcvq wPwýZKiY

L) * welqe¯—yi aviYv

* aviYvi mwVK e¨vL¨v

* AvPiY m¤úwK©Z Kgc‡¶ 5wU aviYv cÖ`vb

3|

* Lvevi m¤úwK©Z aviYv cÖ`vb

* ¸i“Z¡/cÖ‡qvRbxqZvi e¨vL¨v cÖ`vb 4|

* kxZKvjxb †cvkv‡Ki aviYv

* hZœ †bqvi Kgc‡¶ 4wU mwVK Dcvq wPwýZKiY

(3)

†kªwY: 7g welq t MwYZ

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-3

cÂg Aa¨vq : exRMwYZxq m~Îvewj I cÖ‡qvM

mßg Aa¨vq:

mij mgxKiY

beg Aa¨vq:

wÎfyR

GKv`k Aa¨vq:

Z_¨ I DcvË

cÖkœ: 01

†Zvgvi MwYZ eB‡qi ˆ`‡N©¨i GK PZz_©vsk, cÖ‡¯’i GK Z…Zxqvsk Ges

†Zvgvi Kj‡gi ˆ`‡N©¨i Aa©vsk cwigvc K‡i, cÖvß Z_¨¸‡jv e¨envi K‡i wb‡Pi cÖkœ¸‡jvi DËi `vI|

K) cwigvcK…Z evû¸‡jvi Øviv wÎfyR AsKb Ki|

L) †`LvI †h, AsKbK…Z wÎfy‡Ri †KvY¸‡jvi g‡a¨ e„nËg evûi wecixZ †KvYwU e„nËg|

M) wÎfyRwUi †KvY wZbwU‡K †K‡U Avjv`v K‡i GK we›`y‡Z ¯’vcb K‡i †`LvI †h, wZbwU †KvY GK‡Î GK mij‡KvY ˆZwi K‡i|

cÖkœ: 02

†Zvgvi 30 Rb mncvVxi D”PZv (Avmbœ †mw›UwgUv‡ii gv‡b) msMÖn Ki Ges Zv †Zvgvi LvZvq wjwce× Ki|

K) Dcv˸‡jv‡K gv‡bi µgvbymv‡i mvRvI|

L) m‡e©v”P msL¨K mncvVx KZ D”PZv wewkó Zv AvqZ‡j‡Li mvnv‡h¨

wbY©q Ki|

msw¶ß cÖkœ :

1| (-p+6) Gi eM© KZ?

2| p+q = 7 Ges p-q = 3 n‡j 2(p2+q2) Gi gvb KZ?

3| 3a2bc, 5ab2d Ges a3cd2 Gi j.mv.¸ KZ?

4| x3-25x Ges x2+2x-15 Gi M.mv.¸ KZ?

5| (a-3)2-2 (a-3) (a+3) + (a+3)2 Gi mij gvb KZ?

6| 49x2+4y2 Gi mv‡_ KZ †hvM Ki‡j †hvMdj c~Y©eM© n‡e?

7| x2-4xy-9z2+4y2 Gi GKwU Drcv`K (x-2y+3z) n‡j, AciwU KZ?

8| wb‡Pi †Kvb¸‡jv mwVK?

(i) (2x+3y) (2x–3y) = 4x2–9y2 (ii)

21 {(m–n)2+(m+n)2}=m2+n2 (iii) (a+b)2+4ab=(a–b)2

9| (x–y)2=29 n‡j, (x+y)2 Gi gvb KZ?

10| x2+5x-6 Gi Drcv`‡K we‡k lY KZ? - 11| 5(x–3) = 10 mgxKiYwUi g~j KZ?

12| †Kvb wewa Abyhvqx 2x+3 =7x–5 †K 7x–5=2x+3 wjLv hvq|

13| (-1, 3) we›`ywU †Kvb PZzf©v‡M Aew¯’Z?

14| †Kv‡bv we›`yi fy‡Ri gvb 0 †Kvb A¶ †iLvq?

15| †Kvb msL¨v †_‡K -6 we‡qvM Ki‡j we‡qvMdj -12 nq?

16| †Kv‡bv msL¨vi GK PZz_©vsk Zvi GK Z…Zxqvsk †_‡K msL¨vwUi 121 Ask Kg| msL¨v x n‡j, mgxKiYwU Kx n‡e?

1| Z_¨ I Dcv‡Ëi mvnv‡h¨ wÎfyR AsKb Ki‡Z cviv Ges wÎfy‡Ri evû I †Kv‡Yi g‡a¨ m¤úK© ¯’vcb Ki‡Z cviv|

2| AvqZ‡jL ˆZwi K‡i Zv e¨vL¨v Ki‡Z cviv|

msw¶ß cÖkœ : exRMwYZxq m~Îvejx cÖ‡qvM Ki‡Z cviv|

(4)

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ

KvR-2 wbwg©wZ Ask : Av‡e`b cÎ / wPwV

g‡b Ki, Zzwg gvwnb/†gvnbv| †Zvgvi †Ljvi mv_x mvwR`/

mv‡R`v K‡ivbv fvBiv‡m Avµvš— n‡j †Zvgvi g‡bi Ae¯’v Rvwb‡q eÜz bvwdm/ bvwdmv‡K GKwU wPwV †jL|

* wPwV †jLvi wbqg¸‡jv

†g‡b wjL‡Z n‡e

* wPwVi welqe¯—y mwVKfv‡e D‡j L Ki‡Z n‡e -

* evK¨ MVb I evbv‡b ky×Zv _vK‡Z n‡e

†kªwY: 7g welq t K…wl wk¶v

G¨vmvBb‡g‡›U

i µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

PZz_© Aa¨vq : K…wl I Rjevqy cvV-1: K…wl †gŠmyg cÂg Aa¨vq:

K…wlR Drcv`b cvV-3 : wewfbœ cÖKvi dzj I dj Pvl c×wZ

msw¶ß DËi cÖkœ :

1| (K) dm‡ji †gŠmyg ej‡Z wK eyS?

(L) iwe †gŠmyg I Lwic †gŠmy‡gi cv_©K¨ Kx?

(M) gyiwMi †`‡ni Rb¨ AZ¨vek¨Kxq cywó Dcv`vb¸‡jv Kx Kx?

(N) gyiwMi Lvgv‡i Lv`¨ I cvwb †K‡bv ¸i“Z¡c~Y©?

2| wba©vwiZ KvR : KvVvj MvQ m¤ú‡K© wb‡Pi QKwU c~iY Ki|

ch©‡e¶‡Yi welq Mv‡Qi ˆewkô¨

K. Kx ai‡Yi Dw™¢`

L. Kv‡Ûi ˆewkô¨

M. ex‡Ri eY©

N. dz‡ji eY©

O. †Kv_vq †Kv_vq Pvl nq P. †Kgb gvwU‡Z Pvl nq

K.

L.

M.

N.

O.

P.

1. K)

* welqe¯—yi aviYv cÖ`vb

* aviYvi mwVK e¨vL¨v cÖ`vb L)

* welqe¯—yi mwVK aviYv m¤^wjZ 3wU cv_©K¨ cÖ`vb M)

* welqe¯—yi aviYv

* Kgc‡¶ 4wU D`vniY N)

* welqe¯—yi 2wU aviYv

* wbfy©j Z_¨mn we‡k lY - 2. welqe¯—y Abyhvqx QK c~iY

†kªwY: 7g welq t Mvn©¯’¨ weÁvb

G¨vmvBb‡g‡›U

i µg Aa¨vq I welqe¯—

yi wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

lô Aa¨vq:

cÖwZeÜx wkky Aóg Aa¨vq : Lv`¨ Dcv`vb, cwicvK I †kvlY PZz_©`k Aa¨vq:

†cvkv‡Ki cwicvU¨

I e¨w³Z¡

cÂ`k Aa¨vq:

†cvkv‡Ki cwi”QbœZv

cÖkœ :

1. cÖwZeÜx wkky‡`i cÖwZ Avgiv Kxfv‡e Avgv‡`i `vwqZ¡ cvjb Ki‡Z cvwi- Zv cvV¨cy¯—‡Ki Av‡jv‡K wjL|

2. cÖwZ‡e`b ˆZwi :

†KvwfW 19 †gvKvwejvq †Kvb †Kvb Lv`¨ †Mvôx n‡Z Lvevi Avgv‡`i ZvwjKvq cÖvavb¨ cv‡e Zv we‡ePbv K‡i †Zvgvi cwiev‡ii Dc‡hvMx 7 w`‡bi GKwU ZvwjKv ˆZwi Ki|

msw¶ß cªkœ:

3|

K) e¨w³‡Z¡i mv‡_ †cvkv‡Ki wWRvB‡bi m¤úK© †Kgb nIqv DwPZ? e¨vL¨v Ki|

L) Kvc‡o gvo w`‡Z nq †Kb? gvo cÖ‡qv‡Mi 5wU wbqg wjL|

M) ckwg e¯¿ †aŠZKi‡Y Zzwg Kx ai‡Yi mZK©Zv Aej¤^b Ki‡e|

1.

* Kgc‡¶ 4wU aviYvi D‡j L -

* aviYvmg~‡ni e¨vL¨v 2.

* ZvwjKv c~i‡Yi mwVKZv

* wbfy©j Z_¨ Dc¯’vcb

* Z_¨ cª`v‡b mZZv 3. K)

* welqe¯—yi aviYv

* aviYvi e¨vL¨v cÖ`vb L)

* welqe¯—yi aviYv

* aviYvi e¨vL¨v cÖ`vb

* mwVK 5wU wbqg D‡j L - M)

* welqe¯—yi aviYv

* aviYvi e¨vL¨v cÖ`vb

* mwVK 5wU mZK©Zv D‡j L -

(5)

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—

yi wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

Gev‡ii msMÖvg

¯^vaxbZvi msMÖvg

evwoi KvR : (bgybv cÖkœ) cÖkœ: 01

me©Kv‡ji me©‡kªô evOvwj, ¯^vaxbZvi ¯’cwZ, Avgv‡`i RvwZi wcZv e½eÜz †kL gywReyi ingvb ¯^vaxbZv hy‡× Suvwc‡q covi Rb¨ †h me hyw³ Zz‡j a‡i‡Qb †m¸‡jv mvwR‡q wjL|

* ¯^vaxbZvi c‡¶ hyw³¸‡jv mwVKfv‡e D‡j L Ki‡Z n‡e| -

* evK¨ MVb I evbvb ky× n‡Z n‡e|

†kªwY: 8g welq t MwYZ

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-3

lô Aa¨vq :

* `yB PjKwewkó mij mgxKi‡Yi mgvavb|

* †jLwP‡Îi mvnv‡h¨

mijmn mgxKi‡Yi mgvavb|

beg Aa¨vq:

* mg‡KvYx wÎfyR|

* wc_v‡Mviv‡mi Dccv`¨|

Aóg Aa¨vq:

* PZzfy©‡Ri cÖKvi‡f`|

* PZzf©y‡Ri †¶Îdj|

* PZzfy©R A¼b|

`kg Aa¨vq:

* e„Ë m¤úwK©Z Av‡jvPbv|

* e„‡Ëi †¶Îdj|

* †ejb ev wmwjÛv‡ii †¶Îdj|

m„Rbkxj cÖkœ :

1. iwd‡Ki wcZv Ges iwd‡Ki 5 eQi c~‡e© eq‡mi AbycvZ wQj 10:4 Ges 5 eQi c‡i iwd‡Ki wcZv I iwd‡Ki eq‡mi AbycvZ n‡e 2:1|

K) cÖ`Ë Z‡_¨i Av‡jv‡K `yBwU mgxKiY MVb Ki|

L) cÖwZ¯’vcb c×wZ e¨envi K‡i, Zv‡`i `yBR‡bi eZ©gvb eqm wbY©q Ki|

M) ÔKÕ n‡Z cÖvß mgxKiYØq †j‡Li mvnv‡h¨ mgvavb K‡i, ÔLÕ Gi Dˇii mZ¨Zv hvPvB Ki|

msw¶ß cÖkœ: K

1. wc_v‡Mviv‡mi Dccv`¨wU wee„Z Ki?

2. GKwU mg‡KvYx wÎfy‡Ri GKwU evû I AwZfy‡Ri AbycvZ 5:13 n‡j, Aci evû KZ?

3. †Kvb wÎfy‡Ri wZbwU evûi ˆ`‡N©¨i Ggbfv‡e AbycvZ wjL, hv Øviv GKwU mg‡KvYx wÎfyR AvuKv m¤¢e?

4. ABC wÎfy‡Ri AB2 = BC2 + CA2 n‡j, †Kvb& †KvYwU mg‡KvY n‡e?

msw¶ß cÖkœ: L

1. AvqZ Ges AvqZ‡¶‡Îi g‡a¨ cv_©K¨ †Kv_vq?

2. UªvwcwRqv‡gi †¶Îdj wbY©‡qi m~ÎwU wjL|

3. NbK Avi Nbe¯—yi g‡a¨ cv_©K¨ †Kv_vq?

4. GKwU mge„Ëf~wgK †ej‡bi e¨vmva© 3.75 †m.wg. I D”PZv 11.50 †m.wg.| †ejbwUi mgMÖZ‡ji †¶Îdj KZ?

5. GKwU PZzfy©R AvuK‡Z Kgc‡¶ KqwU Abb¨ wbi‡c¶ Dcv‡Ëi cÖ‡qvRb?

6. †h †Kvb mij‡iLv GKwU e„ˇK me©vwaK KqwU we›`y‡Z †Q`

Ki‡Z cv‡i?

7. GKwU PvKvi e¨vmva© 34 †m.wg. n‡j, PvKvwU GKevi Nyi‡j KZ †m.wg. `~iZ¡ AwZµg Ki‡e?

m„Rbkxj cÖkœ: 03

1. †Kv‡bv e‡M©i cwimxgv 12 †m.wg. Ges GKwU Avq‡Zi evûi ˆ`N©¨ 2 †m.wg.|

K. wPÎmn Nywoi msÁv wjL|

L. A¼‡bi weeiYmn DÏxc‡Ki Av‡jv‡K eM©wU AvuK|

M. ÔLÕ †Z Aw¼Z e‡M©i KY©‡K DÏxc‡Ki Avq‡Zi KY© a‡i, AvqZwU AvuK| (A¼‡bi weeiYmn)

1. `yB PjK wewkó mij mgxKiY MVb K‡i ev¯—e mgm¨vi mgvavb Ki‡Z cviv|

msw¶ß cÖkœ: K

wc_v‡Mviv‡mi m~Î e¨envi Ki‡Z cviv|

msw¶ß cÖkœ : L wewfbœ ai‡Yi PZzfy©‡Ri

†¶Îdj wbY©q Ki‡Z cviv|

‡ejb I e„‡Ëi msµvš—

mgm¨v mgvavb Ki‡Z cviv|

3. Z_¨ I Dcv‡Ëi gva¨‡g eM© I AvqZ wbY©q Ki‡Z cviv|

(6)

G¨vmvBb‡g‡›U

i µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

cÂg Aa¨vq : (K…wlR Drcv`b) cvV-9 wgkª (gvQ) Pv‡li Rb¨ cyKzi cÖ¯—ywZ lô Aa¨vq:

(ebvqb)

cvV-2 bvm©vwi ˆZwii

†KŠkj

m„Rbkxj cÖkœ:

1| mwLcyi MÖv‡gi wgbviv †eMg evwoi cv‡k 5 kZK Rwgi cyKz‡i i“B, KvZjv, wmjfvi Kvc© I Kvwc©I Rv‡Zi gvQ Pv‡li D‡`¨vM

†bb| GRb¨ wZwb grm¨ Kg©KZ©vi civgk© wb‡q cÖ‡qvRbxq Pzb, mvi cÖ‡qvM K‡i cyKzi cÖ¯—yZ K‡ib|

K) wgbviv †eMg cyKz‡i wK cwigvY BDwiqv mvi cÖ‡qvM K‡iwQ‡jb?

wbY©q Ki|

L) wgbviv †eM‡gi D‡`¨vMwU g~j¨vqb Ki|

2| cwje¨v‡M Pviv ˆZwi myweavRbK †Kb? e¨vL¨v Ki|

1| K)

* cvV¨cy¯—‡Ki Av‡jv‡K aviYv cÖ`vb|

* mwVK aviYv mv‡c‡¶

mv‡ii cwigvY wbY©q|

L) * welqe¯—yi aviYv cÖ`vb

* cvV¨cy¯—K I DÏxc‡Ki Av‡jv‡K e¨vL¨v cÖ`vb

* welqe¯—yi aviYv I DÏxc‡Ki Av‡jv‡K

- -

ms‡k lY/ we‡k lY / wm×vš— MÖnY

2| * welqe¯—y m¤ú‡K© aviYv

* aviYv myweavRbK †Kb?

Zvi e¨vL¨v cÖ`vb|

†kªwY: 8g welq t Mvn©¯’¨ weÁvb

G¨vmvBb‡g‡›U

i µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-2

cÂg Aa¨vq:

†ivM m¤ú‡K© mZK©Zv cvV-1 wkkyi mvaviY

†ivMe¨vwa cvV-2 Wvqwiqv cvV-3 mw`©, Kvwk, Bbd¬z‡qÄv I K…wg cvV-4 nvg, h²v,

†cvwjI, gvBjvBwUm, gv¤úm

cvV-5 msµgY gy³KiY wUKv, Bb‡RKkb mßg Aa¨vq : wewfbœ cÖwZK~j Ae¯’v

†_‡K wb‡R‡K i¶v Kiv

cvV-1 gv`Kvmw³ cvV-2 evj¨weevn,

†hŠZzK

cvV-3 †hŠb wbcxob Aóg Aa¨vq:

Lv`¨ cwiKíbv cvV-1 †gby cwiKíbv bxwZ

cvV-4 11 †_‡K 15 eQ‡ii wkkyi Lvevi cvV-5 IRbvwaK¨

wkkyi Lv`¨ cwiKíbv

m„Rbkxj cÖkœ :

m¤cÖwZ Kwig PvPv we‡`k †_‡K G‡m `yB mßvn Zuvi N‡i GKv Ae¯’vb Ki‡jb| †Kv‡bv mgm¨v bv nIqvq Gici †_‡K cwiev‡ii Ab¨‡`i mv‡_ †gjv‡gkv Ki‡Z ïi“ Ki‡jb|

1| (K) DÏxc‡K †Kvb †iv‡Mi m‡PZbZvi cÖwZ Bw½Z Kiv n‡q‡Q- e¨vL¨v Ki|

(L) DÏxc‡Ki †ivMwU Kxfv‡e cÖwZ‡iva Kiv hvq- eZ©gvb cwiw¯’wZi Av‡jv‡K g~j¨vqb Ki|

2| †iv‡Mi bvg I cÖwZ‡ivaK wUKvi PvU© ˆZwi Ki|

3| †hŠb nqivwb ev †hŠb wbcxo‡bi wkKvi n‡j Kx Kx mveavbZv Aej¤^b Kiv cÖ‡qvRb?

m„Rbkxj cÖkœ:

gybœv PZz_© †kªwYi QvÎ| †m †L‡Z Lye cQ›` K‡i| PK‡jU, wPcm&, wWªsKm Zvi Lye cQ›`| B`vbxs †m wmuwo w`‡q DV‡Z †M‡j nuvwc‡q hvq| eÜy‡`i mv‡_ gv‡V †Lj‡Z hvqbv| Aí cwikª‡g K¬vš— n‡q c‡o| Zvi gv cywówe‡`i kiYvcbœ n‡jb|

4|

(K) DÏxc‡Ki †Q‡jwUi mgm¨vi KviY e¨vL¨v Ki|

(L) gybœvi mgm¨v DËi‡Yi Dcvq we‡k lY Ki| -

1| K)

* †iv‡Mi bvg / aviYv|

* cvV¨cy¯—K I DÏxc‡Ki Av‡jv‡K †ivM / aviYvi e¨vL¨v cÖ`vb|

L) * †iv‡Mi bvg / aviYv

* cvV¨cy¯—K I DÏxc‡Ki Av‡jv‡K †ivM / aviYvi e¨vL¨v cÖ`vb|

* cÖwZ‡iv‡ai Dcvq wba©viY Ges wk¶v_©x‡`i wbR¯^ ms‡k lY / - we‡k lY / gš—e¨ cÖ`vb| - 2| * PvU© ˆZwi‡Z mwVKZv

* mwVK Z_¨ Dc¯’vcb 3| * welqe¯—yi aviYv cÖ`vb

* welqe¯—yi aviYvi e¨vL¨v cÖ`vb

* Kgc‡¶ 5wU mveavbZv wba©viY 4| K)

* welqe¯—yi aviYv cÖ`vb

* aviYvi e¨vL¨v (cvV¨cy¯—K I DÏxc‡Ki Av‡jv‡K)

L) * mgm¨v †_‡K DËi‡Yi Dcvq wba©viY

* e¨vL¨v cÖ`vb

* cvV¨cy¯—K I DÏxc‡Ki

(7)

†kªwY : 9g welq : MwYZ

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ KvR-3

mßg Aa¨vq : e¨envwiK R¨vwgwZ PZz_© Aa¨vq : m~PK I jMvwi`g beg Aa¨vq : w·KvYwgwZK AbycvZ

msw¶ß cÖkœ - 01 :

1. wbw`©ó PZzfz©R AuvKvi Rb¨ KqwU ¯^Zš¿ DcvË cÖ‡qvRb?

2. ABC e„‡Ë BC e¨vm n‡j, ∠BAC Gi gvb KZ?

3. mg‡KvYx wÎfz‡Ri m~² †KvYØq mgvb n‡j, wÎfzRwUi evû¸‡jvi AbycvZ KZ n‡e?

4. PQRS mvgvš—wi‡Ki ∠Q = 950 n‡j, ∠S - ∠R = KZ?

5. e„‡Ëi e¨vm 14 †m.wg. n‡j, H e„‡Ëi Aš—wj©wLZ e‡M©i †¶Îdj KZ?

m„Rbkxj cÖkœ - 01 :

∆ABC Gi kxl© we›`y A Ges f‚wg msjMœ ∠B = 450, ∠C = 600| wÎfzRwUi cwimxgv 10 †m.wg.|

K) ∠A Gi c~iK †Kv‡Yi gvb KZ?

L) A¼‡bi weeiYmn wÎfzRwU AuvK|

M) Ggb GKwU wÎfzR A¼b Ki hvi f‚wg msjMœ `yBwU †KvY DÏxc‡K Dwj wLZ †KvY `yBwUi mgvb Ges kxl© †_‡K f‚wgi Dci Aw¼Z j‡¤^i - ˆ`N©¨ ∆ABC Gi cwimxgvi GK Z…Zxqvsk| (A¼‡bi wPý I weeiY Avek¨K)

msw¶ß cÖkœ - 02 : 1. (3x-1 + 7y-1)-1= KZ?

2.

( ) ( )

5 y+1= 3 52y1n‡j, y Gi gvb KZ?

3. logx125 = 6 n‡j, x Gi gvb KZ?

4. 0.000003476 †K ˆeÁvwbK AvKv‡i cÖKvk Ki|

5. 32.0035 Gi mvaviY j‡Mi AskK KZ?

m„Rbkxj cÖkœ - 02 : , 4 A= 2p+1

( )

m m1

1 m

7

B 7

= + ,

( )

m1 m1

1 m

7

C 49 +

= + Ges



 

 + 



 

− 



 

= 

80 log 81 24 3

log 25 9 2

log 10 7 D

K) A = 128 n‡j, p Gi gvb wbY©q Ki|

L) cÖgvY Ki †h, B ÷ C = 49

1 M) †`LvI †h, D = log2 msw¶ß cÖkœ - 03 :

1. cos2θ - sin2θ = 21 n‡j, cos4θ - sin4θ Gi gvb KZ?

2. sinθ cosec2θ−1= KZ?

3. cosec(900 - θ) = 2 n‡j, tanθ = KZ?

4. 12secA = 13 n‡j, cotA - sinA = KZ?

5. cosθ = 1 x

1 x

2 2

+

− n‡j, sin2θ + cos2θ = KZ?

msw¶ß cÖkœ - 01 :

wÎfzR, PZzfz©R I e„Ë msµvš—

e¨envwiK R¨vwgwZi cÖv_wgK aviYv jvf Ki‡Z cviv|

1. Z_¨ I Dcv‡Ëi wfwˇZ wÎfzR AsKb K‡i Zvi weeiY w`‡Z cviv|

msw¶ß cÖkœ - 02 :

m~PK I jMvwi`‡gi aviYv jvf Ki‡Z cviv|

2. m~PK I jMvwi`g Gi aviYv e¨envi K‡i MvwYwZK mgm¨v mgvavb Ki‡Z cviv|

msw¶ß cÖkœ - 03:

w·KvYwgwZK AbycvZ e¨envi K‡i w·KvYwgwZK iwki gvb wbY©q Ki‡Z cviv|

†kÖwY : 9g welq : weÁvb

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ

KvR-3 mßg Aa¨vq : A¤ , ¶viK I je‡Yi - e¨envi

i) HCl(aq) + Mg(OH)2(aq) = ii) HCl(aq) + Al(OH)3(aq) = K) Gwm‡Wi msÁv `vI?

L) wf‡bMvi‡K `ye©j GwmW ejv nq †Kb? e¨vL¨v Ki|

M) DÏxc‡Ki (ii) bs wewµqv `ywU m¤úbœ K‡i aiY e¨vL¨v Ki|

• wbfz©j Z_¨ I hyw³m¤§Z e¨vL¨v cÖ`vb|

• cÖ‡kœi Pvwn`v Abyhvqx DËi cÖ`v‡bi m¶gZv

• cÖ‡kœi Abyaveb ¶gZv

• welqe¯‘i MfxiZv

(8)

wba©vwiZ

KvR-3 †lvok Aa¨vq :

evsjv‡`‡ki mvgvwRK mgm¨v I Gi cÖwZKvi

• cvV-1 : mvgvwRK ˆbivR¨ I g~j¨‡ev‡ai Ae¶q

• cvV-2 : bvixi cÖwZ mwnsmZv

bvixi cÖwZ mwnsmZvg~jK AvPi‡Yi KviY¸‡jv eY©bv Ki| GB ai‡Yi mwnsmZv †iv‡a †Zvgvi wb‡Ri cwievi I GjvKvi `„wófw½i Dbœq‡b Kx Kx c`‡¶c †bqv hvq? †h †Kv‡bv GKwU c`‡¶c ev¯—evq‡bi Rb¨ GKwU we¯—vwiZ cwiKíbv cÖYqb Ki|

• mgmvgwqK Z_¨ I Leiv Lei m¤úwK©Z Ávb

• e¨w³MZ AwfÁZvi mgš^q

• BwZevPK `„wófw½i ewntcÖKvk

• mgm¨v mgvav‡b `¶Zv cÖ‡qvM

• m„Rbkxj wPš—vi cÖ‡qvM

• cÖ‡kœi Pvwn`v Abyhvqx avivevwnK DËi cÖ`vb

†kÖwY : 9g welq : c`v_© weÁvb

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ

KvR-3 †lvok Aa¨vq : e¯‘i Dci Zv‡ci cÖfve

3| 1200c ZvcgvÎvi GKLÛ e¯‘i fi 50gm| e¯‘wU‡K GKwU 50gm f‡ii A¨vjywgwbqv‡gi K¨v‡jvwiwgUv‡i 200c ZvcgvÎvi 150gm cvwb‡Z †Q‡o †`qvi ci wgkÖ‡Yi ZvcgvÎv 300c cvIqv †Mj| e¯‘wUi Av‡cw¶K Zvc 1500JKg-1K-1 Ges A¨vjywgwbqv‡gi Av‡cw¶K Zvc 900JKg-1K-1| K) Zvc aviY ¶gZv Kv‡K e‡j?

L) gvwUi Kjwm‡Z cvwb VvÛv _v‡K †Kb? e¨vL¨v Ki|

M) e¯‘ KZ…©K ewR©Z Zvc wbY©q Ki|

N) Dc‡iv³ Z_¨¸‡jv K¨vjwiwgwZi g~jbxwZ‡K mg_©b K‡i wK bv - MvwYwZK fv‡e we‡k lY Ki| -

K. Zvc aviY ¶gZvi msÁv mwVK fv‡e wjL‡Z cviv|

L. myßZv‡ci Av‡jv‡K mwVK fv‡e e¨vL¨v Ki‡Z cviv|

M. mwVK m~Î wj‡L e¯‘i ewR©Z Zvc wbY©q Ki‡Z cviv|

N. DÏxc‡Ki Av‡jv‡K M„wnZ Zvc I ewR©Z Zvc wbY©qc~e©K mwVK gZvgZ cÖ`vb Ki‡Z cviv|

†kÖwY : 9g welq : f‚‡Mvj I cwi‡ek

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ

KvR-3 `kg Aa¨vq :

evsjv‡`‡ki †fŠMwjK weeiY GKv`k Aa¨vq : evsjv‡`‡ki m¤ú` I wkí

1| m„Rbkxj cÖkœ :

AÂj gvwUi ˆewkó¨

X †kj I K`©g Øviv MwVZ Y a~mi I jvj e‡Y©i gvwU Z cwjevwnZ gvwU K) µvš—xq †gŠmygx Rjevqy Kv‡K e‡j?

L) evsjv‡`‡k µvš—xq Rjevqy weiv‡Ri KviY Kx?

e¨vL¨v Ki|

M) DÏxc‡Ki Z A‡ji eY©bv `vI|

N) DÏxc‡Ki X I Y A‡ji f‚wgiƒ‡ci g‡a¨ Kx Kx mv`„k¨-‰emv`„k¨ cwijw¶Z nq? gZvgZ `vI|

2| evsjv‡`‡ki gvbwPÎ AsKb K‡i cvU, Pv I B¶z Drcv`bKvix AÂjmg~n cÖ`k©b Ki|

K) • µvš—xq †gŠmygx Rjevqy m¤ú‡K© Ávb L) • µvš—xq Rjevqy weiv‡Ri KviY m¤ú‡K©

Ávb • welqe¯‘ m¤ú‡K© aviYv I e¨vL¨v cÖ`vb M) • welqe¯‘i Ávb

• welqe¯‘ m¤ú‡K© aviYv I e¨vL¨v cÖ`vb

• welqe¯‘i mv‡_ DÏxc‡Ki ms‡hvM ¯’vcb N) • welqe¯‘i Ávb

• welqe¯‘ m¤ú‡K© aviYv I e¨vL¨v cÖ`vb

• welqe¯‘i mv‡_ DÏxc‡Ki ms‡hvM ¯’vcb

• wm×vš— MÖn‡Yi m¶gZv 2| • welqe¯‘i Ávb

• A¶‡iLv I `ªvwNgv †iLv Abyhvqx gvbwPÎ A¼‡bi m¶gZv

• A_©Kix dmjmg~n mwVKfv‡e gvbwP‡Î cÖ`k©b

†kÖwY : 9g welq : wnmve weÁvb

G¨vmvBb‡g‡›Ui

µg Aa¨vq I welqe¯—yi

wk‡ivbvg G¨vmvBb‡g›U/wba©vwiZ KvR g~j¨vqb wb‡`©kK

wba©vwiZ

KvR-3 mßg Aa¨vq : LwZqvb Aóg Aa¨vq : bM`vb eB

K) wb¤œwjwLZ †jb‡`b¸‡jv n‡Z mswk ó LwZqvb¸‡jv Pjgvb †Ri ---- Q‡K cÖ¯‘Z Ki|

kÖveYx †UªWvm© 2020 mv‡ji 1 Ryb bM` 50,000 UvKv e¨emv‡q wewb‡qvM K‡i|

Ryb - 05 : cY¨ weµq av‡i 1,30,000 UvKv|

Ryb - 10 : †`bv`vi n‡Z Av`vq 1,00,000 UvKv|

Ryb - 20 : AwZwi³ g~jab Avbv n‡jv 20,000 UvKv|

L) wb¤œwjwLZ †jb‡`b¸‡jv Øviv †Rwib G›UvicÖvB‡Ri `yÕNiv bM`vb eB cÖ¯‘Z Ki|

RyjvB - 02 : bM‡` cY¨ µq 20,000 UvKv|

RyjvB - 04 : †P‡Ki gva¨‡g cY¨ weµq 60,000 UvKv|

RyjvB - 10 : e¨vsK n‡Z D‡Ëvjb 25,000 UvKv|

RyjvB - 15 : †PK Øviv AvmevecÎ µq 40,000 UvKv|

RyjvB - 20 : e¨vsK KZ…©K cÖvc¨ wej Av`vq 50,000 UvKv|

K) LwZqv‡bi mwVK QK I wk‡ivbvgmn cÖwZwU

†jb‡`‡bi †cvw÷s Ges †Ri wbY©‡qi mwVKZv we‡ePbv K‡i `¶Zv hvPvB Ges gš—

e¨ cÖ`vb|

L) `yÕNiv bM`vb eB‡qi QK I wk‡ivbvgmn cÖwZwU

†jb‡`‡bi †cvw÷s Ges †Ri wbY©‡qi mwVKZv hvPvB Ges gš—e¨ cÖ`vb|

(9)

Referensi