D:abcSSLC 201281U81-U Master · 2012-11-01 · X(ÆV&gzZ^Ô sZ¤/ñZÎ)ÏñYÅ7õYÅ]!*Z...
Transcript of D:abcSSLC 201281U81-U Master · 2012-11-01 · X(ÆV&gzZ^Ô sZ¤/ñZÎ)ÏñYÅ7õYÅ]!*Z...
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Roll No.
Serial No. of Q. C. A. B.
[ Turn over 111000
Jlflo Æ⁄√ÀÊ-V ⁄◊⁄ —⁄MSÊ¿ : 58 ] [ Jlflo »⁄flfl¶√} ⁄ Æ⁄‚¥lV ⁄◊⁄ —⁄MSÊ¿ : 32
Total No. of Questions : 58 ] [ Total No. of Printed Pages : 32
—⁄MOÊfi} ⁄ —⁄MSÊ¿ : 81-U …Œ⁄æ⁄fl : V ⁄{}⁄
Code No. : 81-U Subject : MATHEMATICS ( D•⁄fl% ∫¤Œ¤M}⁄¡⁄ / Urdu Version )
¶´¤MO ⁄ : 09. 04. 2012 ] [ Date : 09. 04. 2012
—⁄»⁄flæ⁄fl : ∑ÊÿVÊ X 10-30 ¬M•⁄ »⁄fl®¤¿‘⁄- 1-45 ¡⁄»⁄¡ÊV Ê ] [ Time : 10-30 A.M. to 1-45 P.M.
Æ⁄¡⁄»⁄·¤»⁄© @MO⁄V ⁄◊⁄fl : 100 ] [ Max. Marks : 100
FOR OFFICE USE ONLY
Q. No.
Marks Q. No.
Marks Q. No.
Marks Q. No.
Marks Q. No.
Marks
1. 14. 27. 40. 53.
2. 15. 28. 41. 54.
3. 16. 29. 42. 55.
4. 17. 30. 43. 56.
5. 18. 31. 44. 57.
6. 19. 32. 45. 58.
7. 20. 33. 46. ×
8. 21. 34. 47. ×
9. 22. 35. 48. ×
10. 23. 36. 49. ×
11. 24. 37. 50. ×
12. 25. 38. 51. ×
13. 26. 39. 52. ×
Total Marks
Total Marks in words Grand Total
1.
2.
Signature of Evaluators Registration No. Signature of the Deputy Chief
Signature of the Room Invigilator
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¬x@Zc*]:
ÎZÑ]�X 58 nÆ (subjective) Zzgñç¦ (objective) �Z[ÆÂ^~czè ì ÎZw (i
CÙczènÆÎZwÆn(½ÅìXW+9�Z[745é FNEEìZzgå�Z[Znws{Æ‚B½Å(~rìX (ii
CÙczènÆÎZwÆn»°(½ÅˆìXW+ÎZßVÆ�Z[ZÏ(~rìX (iii
czèZzgñ禊zâVnÆÎZßVÆnŠ~ˆ@Zc*]Æ_.�Z[KX (iv
ZyzZgRÐ�Z[:KXRБƒñ�Z!*]ÅYõ7ÅYñÏ)ÎZñ¤/ZsÔ^Zzg&VÆ(X (v
Ô{à»VÃ%æFN™,Zzgoƒ�hÎNX7W&Šz!*g{ ÎZßVÆçA~ (Multiple Choice) MZN! (vi
™&¶KyÎäÅZYi]7ìXZ(™äÐWå�Z[YõÆn**ZIŒY¨X
4iZZ+ŠØ‰�X 15 ÎZÑ]7,"! (vii
CÙ™Æ−{~gszguc(–ìX (viii
Šg`fsÎZßVc***åÒâVceg�ŠwŠñ‰�XZy~ÐÜsZq-9c*ŒÛd$F,+ìXñizVF,+�Šw» .I
20 < 1 = 20 KX Alphabet { ZN[™,ZzgÎZwÆn�ÛZ뙊{(~ì:æ Ns
){àÃLƒÂÔLLÒV»»éÔÒVÆZ�Š6,$©o-+öGG
GìXóótÒyªCÙ™äzZà)zZ]ÃìX C Zzg B ÔA Z¤/ .1
A ∪ ( B ∩ C ) = ( A ∪ B ) ∩ ( A ∪ C ) (A)
A ∩ ( B ∩ C ) = ( A ∩ B ) ∩ ( A ∩ C ) (B)
( A ∪ B ) ∩ C = ( A ∩ C ) ∪ ( B ∩ C ) (C)
( A ∩ B ) ∪ C = ( A ∪ C ) ∩ ( B ∪ C ) (D)
___________________________________________ �Z[:
111000
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Šgc*Ä™,X Tn ƒÂ Tn + 1 = 4n + 5 Zq-ÂZF,~Z¤/ .2
4n −−−− 1 (B) 4n −−−− 5 (A)
4n + 5 (D) 4n + 1 (C)
___________________________________________ �Z[:
Šg`fs~Ã)zZ]9ì? .3
(B) (A)
(D) (C)
___________________________________________ �Z[:
¥x™ä»Ÿ‚CNX (C.V.) ŠØYä6,p5+k,~»°Š~u ZzgÅö LZz‰ ( σ ) £g~Z�Zs .4
(B) (A)
(D) (C)
___________________________________________ �Z[:
ÅF,KM X ƒÂ¢a¾ AX = B ìXZ¤/ 2 × 1 ÅF,KM 'B' Zzg¢a¾ 2 × 3 ÅF,KM 'A' ¢a¾ .5
CNX
3 × 1 (B) 1 × 2 (A)
1 × 3 (D) 2 × 1 (C)
___________________________________________ �Z[:
81-U 3
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»¬ŠZ“ŠêE
Šgc*Ä™,X ( a 2 + 5a + 6 ) Zzg ( a 2 − 9 ) .6
( a − 3 ) (B) ( a − 9 ) (A)
( a + 9 ) (D) ( a + 3 ) (C)
___________________________________________ �Z[:
!*nKMZꬊZWZzgfzZDsZ��XZêŠgxy9Ú L Zzg H ŠzZrZðZÖgZ]�X B Zzg A .7
Ãì?
H + L = A + B (B) H × B = A × L (A)
H × L = A × B (D) H + B = A + L (C)
___________________________________________ �Z[:
ì Å7 Â ƒ Z¤/ .8
0 (B) 1 (A)
− 2 (D) 2 (C)
___________________________________________ �Z[:
¾Æ)z~ƒ@*ì? 3abc ƒÂ a + b + c = 0 Z¤/ .9
a 2 + b 2 + c 2 (B) a 3 + b 3 + c 3 (A)
− ( a 3 + b 3 + c 3 ) (D) − ( a 2 + b 2 + c 2 ) (C)
___________________________________________ �Z[:
111000
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¾Æ)z~ƒ@*ì? a 2 − bc ƒÂ a + b + c = 0 Z¤/ .10
( ab − bc − ca ) (B) ( ab + bc + ca ) (A)
− ( ab + bc + ca ) (D) − ( ab − bc − ca ) (C)
___________________________________________ �Z[:
Šg`fs~Ã)zZ]Ô{ØŠzŠgY)zZ]7ì? .11
2m 2 = 72 (B) x 2 + 2 = 6 (A)
K 2 = K (D) P 2 = 9 (C)
___________________________________________ �Z[:
Z»×Vic*Š{ì: 4 »îwÐ ( x ) T»‡°{ZkÆâÀŠ~ ( A ) Zq-[»gK .12
(B) (A)
(D) (C)
___________________________________________ �Z[:
Å¿ßg]HƒCì? Ztê O°Š .13
(B) (A)
(D) (C)
___________________________________________ �Z[:
Æ_.gzV»qݦHì? ax 2 + bx + c = 0 zZ] ) .14
(B) (A)
(D) (C)
___________________________________________ �Z[:
81-U 5
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Šgc*Ä™,X ƒÂ Z¤/ ÆŠZ],Æk�X O %œ/ TB Zzg TA Š~ˆ~ .15
240O (D) 60O (C) 90O (B) 120O (A)
___________________________________________ �Z[:
Šg`fs~¢45é EGI
¨g_Æ&azZVZ°ZŠÃµ�? .16
5, 8, 17 (B) 8, 15, 17 (A)
3, 6, 9 (D) 5, 12, 17 (C)
___________________________________________ �Z[:
ۢƊzŠZ],}Zq-Šzu}Ãé™D�ÂZê%œ/zVÆŠgxyÃ, 3 cm Zzg 5 cm Š~ˆ~ .17
CNX
2 cm (B) 8 cm (A)
3 cm (D) 5 cm (C)
___________________________________________ �Z[:
111000
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Ãgñ! ¥x™ä» ( V ) ƒÂZew ( h ) Zzg—~ ( r ) Zq-Z2Z:Ƈ°{»Û¢ .18
V = 2π r h (B) (A)
V = π r h (D) V = π r 2 h (C)
___________________________________________ �Z[:
ƒÂÈR»gKŠgc*Ä™,X 10 cm ZzgF,hZz™ð 50 cm »” Zq-%zoÅÍÑðƇ°} .19
cm %, 2500 (B) cm %, 125 (A)
cm %, 250 (D) cm %, 500 (C)
___________________________________________ �Z[:
ƒÂ ∠B = ∠E Zzg ∠A = ∠D Ô∆ ABC ||| ∆ DEF Z¤/ .20
(B) (A)
(D) (C)
___________________________________________ �Z[:
10 < 1 = 10 {à»VÃoƒ�Z[Ð6,™,: .II
ìX ______________ zZVgÁ¥x™ä»Ãgñ! 'n' ƒÂ 'd' Zzg¬x�Ût 'a' »ªgÁ gc*èÆ%Zi .21
___________________________________________ �Z[:
___________ ˆ!!*nKMZz‰ÔyÎ~Zz‰Zzg;gñãZz‰ƒÂ A, G, H Z¤/ .22
___________________________________________ �Z[:
81-U 7
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X =______________ ‡&ÿEL¢[澃V B Zzg A ¤/Z .23
___________________________________________ �Z[:
q݃@*ìX ______________ Å´#ÖZEw™ä6, ∑ Æn ( a 2 + b 2 + c 2 ) .24
___________________________________________ �Z[:
ìX ______________( ∆ ) »¡ ax 2 + bx + c = 0 ŠzæZgY)zZ] .25
___________________________________________ �Z[:
ƒÏX ______________ ƒV£/)zZ] ' n ' Zzg ' m ' ~ŠzæZgY)zZ]Æ_.g ' x ' .26
___________________________________________ �Z[:
ìX ______________ »¬ŠZW ( a − b ) Zzg ( a + b ) .27
___________________________________________ �Z[:
ÔÂ∠ABC = ∠AED = 90o Š~ˆ~ .28
___________________________________________ �Z[:
ìX __________________ °æO{»ÒgKŠgc*Ä™ä»Ãgñ! .29
___________________________________________ �Z[:
Šc*Y@*ìX ______________ Zq-,MzguÅYõc-°»Ãgñ!¬xîgÐ .30
___________________________________________ �Z[:
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Zzg U = { 1, 2, 3, 4, 5, 6, 7, 9 } KÃL ¬ .31 .III
A = { x : x ÐgN*GŠ°Šì 10 }
B = { x : x »pµì 3 ÐgN* 10 }
2 Yõ™,: Â
81-U 9
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2 : Æ{ÆЪCÙ™, Venn Šg`fs¥â]à .32
n ( U ) = ŠÚzZá43ð NEEVÅ®ZŠ T.V Zq-ǃV~ = 1000
n ( K ) = NZ6,z¤/ZxŠÚzZá43ð NEEVÅ®ZŠ = 800
n ( E ) = y~6,z¤/ZxŠÚzZá43ð NEEVÅ®ZŠ = 400
n ( K ∩ E ) = NZZzgy~ŠzâV6,z¤/ZxŠÚzZá43ð NEEVÅ®ZŠ = 300
ÃðÌ6,z¤/Zx:ŠÚzZßVÆ´ºÃÌo™,X ŠzâV~Ð
111000
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kH2 ìXZ¤/ª°ŠÔŠ}°Š» 20 &Z°ZŠ;gñ㣰~�X¬ZzgŠ}°ŠÆŠgxy;gñãZz‰ .33
2 ÆZ°ZŠŠgc*Ä™,X ìXÂ;gñ㣰ÆÐVÚƒ
2 3 + 7 + 11 + .......... J- Æ°Š 20 ù·Šgc*Ä™, .34
81-U 11
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2 ¥x™,X x ƒÂ Z¤/ .35
2 Å7¥x™,X n  ƒ Z¤/ .36
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¯c*ŠH Platform S»×VìZzgZkyZyÆZq-Ãä~%,ú ( a + b ) Zq-%,yZyÆIÅMð .37
ìX ì² 4s ( s − c ) S»×VìÂU*"$<�%,»!*¹gK 'c' ìTÆIÅMð
2
2 »quÿL¢[Šgc*Ä™,X Zzg .38
81-U 13
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2 Ãëw¯Dƒ}¿™,X ©ú .39
2 i™,X x 2 − 5x + 3 = 0 Ãgñ!ZEw™Dƒñ)zZ] .40
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Å7Šgc*Ä™,X ( m + n ) 2 + 4 mn ƒVÂ n Zzg m Æ_.g 2x 2 − 4x + 1 = 0 Z¤/)zZ] .41
2
2 ].zw»g™,X Æn S = { 2, 4, 6, 8 } Æ� 10 Æ¢[âezßV (Cayley) û .42
81-U 15
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2 Mð»zF,¯NXZzg%œ/ÐzF,»Ã,**8X 8 cm ۢƊZ],}~ 5 cm .43
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)z~Mð (c) œ�k ‡é (b) gZ„œ�kÅ�h~Ô (a) Š~ˆ^~Šg`fsÆ**xCNX .44
2 (secant) 8ûEL‡é (d) ÆkÅ�h~Ô
81-U 17
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Z»ÇVzZáÛ¢Æ Z¤/ Z»×VìÔ ' r ' Û°æ Nz~',@Ã0*ãÐ彊c*ŠHìT»Û¢ .45
Zq-k°æ Nz~tÃQkÛ°æ Nz~',@Æ0*ã~e1c*YñX0*ã',@Æ!*CÙÀ_ìÂU*"$™,�†ƒñ0*ã
2 S»×VìX ÅlZg
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2 Šg`fs].zw~Š~ˆ¥â]Æfg=ûZg«i}»u¯NX .46
( e: 20 metre = 1 cm)
Ã)¢a~( C
J-D 40
J-E 60
140
100
80
40
J- B 60
Ð A
81-U 19
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2 »¤/Zs!*NX ¢a¾ Šb‰ .47
2 c-°"ÆÂ}ÅYõ™,X Octahedron Ãgñ! .48
111000
20 81-U
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&Ñõ EO!*i�X~ÑŠ"Zzge-e"ŠzZi«!*i�XiƒäÅzzÐÑŠËò 10 t!*iZzg 5 Zq-™–'~ .49 .IV
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3 ƒV?
81-U 21
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3 Šg`fsÂZF,Å„Æa£g~Z�ZsŠgc*Ä™,: .50
30 - 34 25 - 29 20 - 24 15 - 19 10 - 14 ¤/z„z9
2 3 5 3 2 ÂZF,
111000
22 81-U
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3 »fzZD½Z�Šgc*Ä™,X Zzg .51
81-U 23
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%,T¢aìÂ[Åau~Šgc*Ä ZzggK x cm Zq-[�z~ZÑHq»T»I .52
3 ™,X
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24 81-U
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3 ÀŠìZzg AD J-BC Ð A ~` ABC Z¤/[ .53
BC 2 = 2 ( AB
2 - AC 2 ) ƒÂU*"$™,� DB : CD = 3 : 1
81-U 25
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U*"$™,�Z¤/ŠzŠZ],}Zq-Šzu}Ã!*CÙÐ!øM™D�ÂgZÆ»ZzgQyÆ%Zœ/Zq-¦|~ƒD�X .54
3
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26 81-U
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ìÂyÎ~ 90 ìZzgzZzgŠzu}¥ÁÆŠgxy�Ût 30 q-yÎ~£°~Šzu}Zzga¥Á»ù· Z .55 .V
4 Ðic*Š{ìX 1 zZV¥ÁŠgc*Ä™,T»œ�Úƒ 8 £°»
81-U 27
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4 "$™,�Zq-‰¢VÆgÕ£.ÞZHqÆ%ŠVÆÚƒ~�X U* .56
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ÅŠzg~6,�XŠzâVŠZ],zV 10 cm ۢƊzŠZ],}�XÆ%œ/Zq-Šzu}Ð 3 cm Zzg 5 cm .57
4 ÆŠzgZ„œ�èok{ÆZzgZ7â8X
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4 ÃU*"$™,X x 2 − 2x − 3 = 0 Ƥ/Zsé™)zZ] y = 2 x + 3 Zzg y = x 2 .58
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32 81-U
111000