DISTRICT COMMON EXAMINATION BOARD PRE-FINAL EXAMINATIONS, FEBRUARY… 2U… · ·...
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DCEB, Hyderabad DISTRICT COMMON EXAMINATION BOARD PRE-FINAL EXAMINATIONS, FEBRUARY,2015 MATHEMATICS - PAPER - II (URDU VERSION) Class: X ( Marks: 40 ) Time:2 .45min. X Î Z D 6 , p Æ e g ~ V Æ Ó x Î Z Ñ ] Æ ł Z [ Š £ X 1 ¬ x @ Z c * ] : X ~ Š Z ½ Š w Š c * Š H ì X III X Ü s œ 2 Æ Î Z ß V Æ ł Z [ Ì ł Z ! Ò n ~ „ K X IV X v 3 X ¬ G g { 4 ~ Î Z D 6 , p » _ · ¨ g Ð ™ , X C Ù Î Z w à Z h § b 4 ] ~ ł Z ! * ] K X 2.30 - Z k Æ ˆ ! * ¹ Section - I 7x1=7 X f s Æ Ó x Î Z ß V Æ ł Z [ Š £ X 1 @ Z c * ] : X X C Ù Î Z w Æ a Z q - – H Š H ì X 2 ª ì X 5 X Š Z ] , } Æ Ã ð Š z á Z i ~ ˜ k » à , ¥ x < T » Û ¢ 1 p Ð 9 L » ã C Š ~ X Ò y < X X 2 ª ì X 9 ª ì Z z g — ~ 7 X Z 2 Z : Å È R » g K ¥ x < T » Û ¢ 3 q Š { i Z z A $ U * " $ < Ř B Z z g A ˜ V tan A = Cot B X Z ¤ / 4 A + B = 90 X ¬ È Z L k y Å « 2 w Å ! * ? Ð R i } 6 , ñ ł Š Y w » x @ { ™ C ì T » 5 ¢ a ì X Z k Æ a Z q - x i Z z t Ý á C ì X Z k q g ] Å « 2 w Å — ~ ™ { Ř Z @ * g X X & j V à 7 V Z Y á Y ä 6 , Ü s Z q - % û h # W ä Æ ª k ¥ x < X 6 Å Š g ¥ x < X p ì A $ 7 » Z z ‰ 3, 5, 9, p, 11 X ! š ‹ 5 é G ] 7 Section-II 6x2=12 X f s Æ Ó x Î Z ß V Æ ł Z [ Š £ X 1 @ Z c * ] : X X C Ù Î Z w Æ a Š z – K ‰ X 2 www.dcebhyderabad.webnode.com
Transcript of DISTRICT COMMON EXAMINATION BOARD PRE-FINAL EXAMINATIONS, FEBRUARY… 2U… · ·...
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DISTRICT COMMON EXAMINATION BOARD
PRE-FINAL EXAMINATIONS, FEBRUARY,2015
MATHEMATICS - PAPER - II
(URDU VERSION)
Class: X ( Marks: 40 ) Time:2 .45min.
XÎZD6,pÆeg~VÆÓxÎZÑ]Æ�Z[Š£X 1 ¬x@Zc*]:X~ŠZ½�ŠwŠc*ŠHìX III XÜsœ 2
ÆÎZßVÆ�Z[Ì�Z!Òn~„KX IV Xv 3
X¬Gg{4~ÎZD6,p»_·gЙ,XCÙÎZwÃZh§b 4
]~�Z!*]KX 2.30 −Zkƈ!*¹
Section - I
7x1=7 XfsÆÓxÎZßVÆ�Z[Š£X 1 @Zc*]:XXCÙÎZwÆaZq-�–HŠHìX 2
ªìX 5 XŠZ],}ÆÃðŠzáZi~k»Ã,¥x<T»Û¢ 1
pÐ9L»ãCŠ~XÒy<X X2
ªìX 9 ªìZzg—~ 7 XZ2Z:ÅÈR»gK¥x<T»Û¢ 3
qŠ{iZz��A$U*"$< B Zzg A ˜V tan A = Cot B XZ¤/ 4
A + B = 90
X¬ÈZLkyÅ«2wÅ!*?ÐRi}6,ñ�ŠYw»x@{™CìT» 5
¢aìXZkÆaZq- x iZztÝáCìXZkqg]Å«2wÅ—~
™{Z@*g�X
X&jVÃ7VZYáYä6,ÜsZq-%ûh#Wäƪk¥x<X 6
ÅŠg¥x<X p ìA$ 7 »Zz‰ 3, 5, 9, p, 11 X!š‹5éG] 7
Section-II
6x2=12 XfsÆÓxÎZßVÆ�Z[Š£X 1 @Zc*]:X
XCÙÎZwÆaŠz�–K‰�X 2
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™{ZzgkÆÒgÕ)z~�ÔZyÆ9A.ð EVÅÚ¥x<X X8
~ ABC X|[ 9
AD A$ DE // BC
¥x<X
X¤/z„!š‹5éG]ÆzT6»Ÿ‚sZzgZyÆZg»yÅzŸs#<X 10
F,KMzZgk� BC Zzg AD X11
�ë%œ/ŠZ],}6,¯ñ‰�
OA=AB=ª21 X»Û¢
ì‚tŠZg»gK¥x<X 750 ìZzgiZzt
XŠz0*²VÃZq-‚BZYÑŠHA$Zq-‰}òq݃äŪk¥x<X 12
1 + sinθθθθ Cos θθθθ = 2 Sec θθθθ XU*"$<X 13Cos θ θ θ θ 1+Sinθθθθ
Section-III
4x4=16 XŠZ½�ŠwŠc*ŠHìX 1 â^:X
XCÙÎZwÆaeg¶K**]–�X 2
ÆzV AB, BC, CA ZHq D, E, F ~Õo ABC Ë[ (a X14
ÆgJVÅÚ¥x<X ABC Zzg DEF Õo�Ô[
( c* )
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Zzg PTS ªìZzg 8 I»îw
ŠzÛŠZ],}�X QTR
A$øDfsÃC[<X Šc*ŠHì (aX15
1+sinθθθθ (ii) (1+sinθθθθ)(1+sinθθθθ) (i)cosθθθθ (1+cosθθθθ)(1-cosθθθθ)
1.8cm
5.4cm7.2cm
8cmS
P Q
R
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( c* )
ªìZzgZk~âùeZÑŠHX 15 Zq-4™z~',@TÅZ0+gzãR»Û¢ (b
ª—~zZàZ2Zã1ŒV~½äÆaX1³ 6 ª¢Zzg 5 ZkâùÊg»gƒVÏX
¢aah}‘ 7 ¢a�~!*îàÅŠ~ˆXqÝÅèà 20 ¢a¢zZà 18 (aX16
¯c*ŠHX‘Å—~Òy<X
( c* )
3 »gzVÆ*gä»x@{HX~CÙ 100 Zq-¤DäZq-vu6, (b
46,Zq-»g*gCìXTÃ].zw~Šg`HŠHZy!š‹5éG]»c�¥x<X70-80 60-70 50-60 40-50 30-40 20-30 10-20 0-10 »gzV»*g
8 15 11 20 12 13 14 7 ®ZŠ
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( c* ) îwC[u£X
ȯ�X Ogive fsÆeZN*Æa (b
z9)®) 10-15 15-20 20-25 25-30 30-35 35-40
®Š 10 15 17 12 10 8
Section-IV
10x1/2=5 XÓxÎZÑ]Æ�Z[Š£X 1 â^:XXÓx�Z!*]Ã�Z!Òn~Zq-„(sX 2
[ ] XI¤/Z°~¯IÅ�#ÖgKc*(,~ÅYCìtXXXXBCìX 18
Ãð7 (D §z (C )xË (B xË (A
[ ] 7ìX (central tendency) XZy~ÐÃK%œ/gsy 19
c� (D £g~Z�Zs (C zT6 (B Zz‰ (A
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