Series : TYM Roll No. wzg SET-3 46/3 eã Code No. Candidates must write the Code on the title page of the answer-book. Xì 8ŠZ Å],ñƒ ~d6,æwzîkz kõ Y Xìr

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1 Series : TYM Roll No. wzg SET-3 46/3 eã Code No. Candidates must write the Code on the title page of the answer-book. Xì 8ŠZ Å],ñƒ ~d6,æwzîkz kõ Y Xìr6, ~6, zzæ8»!z eãös NZŠ6, zzæp6,ãd Xì 30ŠZ Å]ÑZÎ ~p6,k Z kõy Xs~8»!Z Ÿ»wZÎ._Æp6, Ðä qzñr [ Z»wZÎö g± L 10.15XÇñYH W 10.15ðÃp6,Æ wzîxì ŠH Š Ü z» 4 15aÆ"7,p6,»wZ Î qzñ [Z ÆVßZÎÆp6,YCyZgzŠ Æ Ü zks gzzð³7,p6,süycj- W 10.30Ð Please check that this question paper contains 8 printed pages. XMh 7 Code number given on the right hand side of the question paper should be written on the title page of the answer-book by the candidate. Please check that this question paper contains 30 questions. Please write down the serial number of the question before attempting it. 15 minute time has been allotted to read this question paper. The question paper will be distributed at a.m. From a.m. to a.m., the students will read the question paper only and will not write any answer on the answer-book during this period. è MATHEMATICS (Urdu Version) ] 3: Ü z{gh 80 : ÿ N Time allowed : 3 hours Maximum marks : 80 46/3 1 [P.T.O.

2 X òiñ]ñzîx Ó X ñƒn~ DgzZ CÔBÔAVðO { 8ge ìœ6,vßz Î 30 ÑZÎp6, t :] ZåXL 3òÀ (i) ] (ii) ~ XÔ ]ÑZÎb~B î~8 O Xì q- Z» wzîq-z CÙ Ð~XÔ ]ÑZÎb~A î~ O 8 (iii) X 3ÆwZÎq-Z CÙ Ð~XÔìŒ6,]ÑZ Î 10ÔC î~8 O Xì» 2wZÎq-Z CÙ Ð X ]ÑZÎ 8ÆVz 4Ô4~ Dî~ O8 ] ÑZÎ 3áZzVz 4Ô4gzZ~]ÑZÎ 4áZzVz 3Ô3X ìšh Š7g(Z ðã6,gî ù» wzîwš q- ZÃ\W~ q-z CÙ Ð~]ÑZÎáZzg(Z ãzg0+z Xì ŠH Šg(Zãzg0+Z ~ XìbŠ[Z Xì7 iyzåä wez{ð½ó5 Gµ (iv) ] (v) Aî~ O8 Xì q- Z» wzîcù ~ 6 wzî@* 1 wzî? ÏƒgŠHÅ (cos 2 67 sin 2 23 ).1 X Ùx Ág ª»kZÂÔì (a 7 ) = 4ÁgVZÂ gzz d = 4 : t Û uœ~ A.P. / Z Ë.2 : Ùx Â / ZÔ ABC ~ PQR ìzƒ Š :.3? ÇƒH (H.C.F.) u œwz» (composite no.) o LgÐƒ gzz Š ŠGLgÐƒ Š.4 XÙx,ÃÐZJ» P(x, y)`.5 XÙx gšå k ÂÔìg_.q-Z» x 2 2kx 6 = 0] Zz) YgŠzŠ Ôx = 3 Z /.6 46/3 2 [P.T.O.

3 Bî~ O8 X 2 ÆwZÎCÙ ~ 12 wzî@* 7wZÎ : Ùx wèzxšhñyzb q-z ÃV²0* ZzŠ.7 äƒýq( ïgh 3Ò&e)² zš E» (i) X»äƒ 10 ÿu L q»vîyæv²0* VâzŠ (ii) XÙx gšå mq?ç} ~Ú ¾ P(4, m) Ã B(6, 3) gzz A(2, 3) Õ Ùx o.8 Š t Ùx wèz XŠHHÉÔÆKMF,Ë ÔŠ 9q-Z»yxgŠÆ 100 zz ì L ÿe& Ð X 8 (i) ì7 L ÿe& Ð X 8 (ii) g 1.9 XÙx,gŠÅ y zz g x Xìlq- Z ABCD Ô~ 1^.10 1^ XÙx ÿu L q»sdz 8 Æ 3.11 X ìš ê* )q-z Ù"$U*Ôìê* ) ì Š.12 46/3 3 [P.T.O.

4 î~ OL C 8 Å b gzz a ÂÔ Zg Å ABCD qhñz ~izá D(1, 2) zz Vge ÂÔ Zg Å ABCD ge V D(4, 5) X 3ÆwZÎCÙ Ô22 wzî@* 13wZÎ g C(4, b)ôb(a, 0)ÔA(-2, 1) XÙx V MÅqHZÆkZQXÙx,gŠ gzz C( 1, 6) ÔB( 4, 5) ÔA( 5, 7) / Z.13 / Z XÙx Kg» ABCD gzz : #zšækz /Z ÔÙ x #xóæ 0g M :.14 b Š Ù & gzzùx (L.C.M.) Z½DZzfgzZ (H.C.F.) uœwz» 96 zz HCF LCM = g [ ÿu L q»šz Z VâzŠ ñƒ XìCƒ~z)ðMÅVÎ Q6,{], ZŠËÐy~CÙ!* Ë Ù"$U*.16 ñƒ 6,F, zæ,%kzkg»[qhñz~z)ñƒ 6,Iq-Z Æ,%Ë Ù"$U*.17 Xì@* ƒû»kgæ[qhñz ~z) X z {z Ù"$U*ÂÔ ~z)õgæv /?zš /Z î6, Ü z{gh6,w2 KZgzŠ 1500 kmxzhzðí@* 4 30 Ü z{ghlzi ðzƒq- Z Ð.18 XÙx gëg Åw ÅkZXZ7,* ŸZ» 100 km/h~gëg Åw KZÐZa Æ 46/3 4 [P.T.O.

5 : ˆð3Š Z9Åm¾Z 280 wz].ñƒbš n ~.19 ( ~gdùz `) {Z9 ŠZ ÅŠZ Û Z X Ùx (Median) 6Tz» Å{Z9Ð VzñWyZ ŠH 3Š ~ 2^ 6Ôˆð wïã{ ÛÐ}uCÙ ÆäZ2Zk^Ú q-z Å~ Ç» Úˆð ÂÔƒ 3.5 cm Û» (base){ ÆkZgzZƒ 10 cmð zz ÅäZ2Z /Z Xì XÙx KgÒÀ.20 Xì 3.5 m 2^ ð zzgzz 24 m» (base) } ÆTÔì» ^Å oz%ƒe q-z» Vßze?ÇƒceZÀkOHaÆ½eÃƒe kzxùx w»vßze 46/3 5 [P.T.O.

6 12 cmiôk QÐ DgzZ CÔBÔA œ/ %V ÔÙx Kg» º Kt ~ 3^.21 6,S gzz RÔQÔP oõãxgš ÆyZKMn!* Ã DA zz g CDÔBCÔAB qhzæ ABCD,% Æ [ XÙwEZ π = 3.14 ] X D s~vzh 3^ XÙx gšå ÂÔ4 tan θ = 3 / Z.22 XÙx gšå AÂÔì{œqtzZi q- Z 2A Ô V tan 2A = cot (A 18 ) / Z Dî~ O8 X 4 ÆwZÎCÙ Ð~ 30 wzî ÝtzZiÆVzi Æã0*zŠ 6,ä {@xðkaågfæýzg zz 100 m g«r ÂÔ +$Y q-z Ågfi VâzŠgzZ ìúç!* Æi }uzš i q-z /Z X 45 zz Ð.23 g 30 [ Ù wez ] XÙx,ÃãxgŠ»Vzi VâzŠ 30 cmgzz 10 cm KMn!* Æ Vzu gzz ~6, zzækz -d XìÅê H Û Æoz%^Åy!*q- Z.24 Ùx ÂÔì 24 cmð zzåkz /Z X K g»gšeå]jš ðƒwez~ä y!* (i) [ ÙwEZ π = 3.14 ] ce* m, /VYÐ wezæy!* ðƒµð8öà? (ii) 46/3 6 [P.T.O.

7 : Ù"$U*.25 X Ùx (frequency) f Š» 19 21k Xì 18 (Mean) xgš» sfzg q :.26 k Š f 5 4 : ìˆ~šãæw:zizg Åy)g» 50áZzä x» ~ ~1Ë~ wz].sfzg q ( ~ ` ãæw:zizg ) ŠZ Å y)g» g zzùsp~ (cumulative frequency distribution) Š ùæná Ã k Z X U (ogive) F,¹ Åk Z Å î Ô~äY ³#Å î 24 kmôì 18 km/hr w e~ã0*á ÅT^1R, ñq- Z.27 XÙx weåî Xìg{Š i Ü z 1 ~ä ð,ã ÚZ 6 km/hr~ we ~i WJ- 72 kmqôì¹ðwe zz ~i WËJ- 63 km~hçsgðã zz~i WÅ kzâôìg] 3~ä»^À /Z Xì¹Ðwe zzb Æ±ŸZÆ?ìHwe Æy»gZ ãxgš zšå[ ÿu L qág ~y WgzZ gzzôì 32 ÿu L q»šz Z g@* Î 4~A.P.Ë.28 XÙx ŠZ Z Xì 7 : 15ÚÐ[ ÿ ul q 46/3 7 [P.T.O.

8 ( Zq-Z QXƒ ABC = 60 zz g AB = 5 cmôbc = 6 cm XVƒ ~ TÔU ABC q- Z ÆqHZ.éG Œ3! Æ ABC qhzætùú[ [.29 : Ù"$U*Ô b kzôì `q-z 6, BCIÔD~ ABC Xì@* ƒ~z)æ ÿu L qævš%æqhz VâzŠ vš,%» F, z~[tzzi [ qhñz~z) Ë.30 9(AD) 2 = 7(AB) 2 ì Ù"$U* 46/3 8 [P.T.O.

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Series : TYM Roll No. wzg SET-2 46/2 eã Code No. Candidates must write the Code on the title page of the answer-book. Xì 8ŠZ Å],ñƒ ~d6,æwzîkz kõ Y Xìr

Series : TYM Roll No. wzg SET-2 46/2 eã Code No. Candidates must write the Code on the title page of the answer-book. Xì 8ŠZ Å],ñƒ ~d6,æwzîkz kõ Y Xìr6, ~6, zzæ8»!z eãös NZŠ6, zzæp6,ãd Xì 30ŠZ Å]ÑZÎ ~p6,k