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m„wó †m›uªvj ¯‹zj gÛ k‡jr gi c¶ †_‡k mevb‡k ¯^vmzg mwyz ‡cÖ‡r‡›ukb...

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  • M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb
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م ح ر ل ا ن م ح ر ل ها ل ل ما س بm„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb Presented By Mahmud

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wb‡Kvjvm fqvwPP "Young Australian of the Year" Presented By Mahmud

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Page 1: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

الرحم الرحمن الله بسمm„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶

†_‡K mevB‡K ¯^vMZg

MwYZ ‡cÖ‡R‡›UkbPresented By Mahmud

Page 2: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

wbK bv‡gB mevB Zv‡K wP‡bPresented By Mahmud

Page 3: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

wb‡Kvjvm fqvwPP "Young Australian of the Year"Presented By Mahmud

Page 4: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

Page 5: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

eccos1sin.1

sec1cos.2

cot1tan.3

tan1cot.4

cos1sec.5

sin1cos.6 ec

cossintan.7

sincoscot.8

1cossin.9 22

22 cos1sin

22 sin1cos

1tansec.10 22

22 tan1sec

1sectan 22

1cotcos.11 22 ec

22 cot1cos ec1coscot 22 ec

w·KvYwgwZK m~Îvejx :-AA

AA

AA cossin

cot1sin

tan1cos

1| cÖgvY Ki †h,

cÖgvY tAA

AA

cot1sin

tan1cos

evgc¶ =

=

=

=

Acos

1AA

cossin

Asin

1AA

sincos

Acos

AAA

cossincos

Asin

AAA

sincossin

A2cos

AA sincos

A2sin

AA cossin

=A2cosAA sincos

A2sin

AA sincos

=A2cos

AA sincos

A2sin

=)sin(cos AA

)sin(cos AA

)sin(cos AA

))((22 bababa

upwithcuttingFor

= )sin(cos AA = Wvbc¶

)sin(cos AA

AcosAA

Asincos

cos

Presented By Mahmud(cÖgvwYZ)

Page 6: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

KvD‡K c_ GwM‡q w`‡Z

bv cv‡ib, Zv‡K ïay

c_ Pjvi Av‡jvUzKz

†`Lvb| †m GKvB Zvi

c_Uv wP‡b †b‡ePresented By Mahmud

Page 7: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

Page 8: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Avgiv hv wKQy ïwb Zv fy‡j hvB,Avgiv hv wKQy

†`wL Zv g‡b _v‡K, Avi Avgiv hv wKQy Kwi Zv wk‡L wbB|

Presented By Mahmud

myZivs †ewk †ewk Abykxj‡bi weKí wKQz

†bB|

Page 9: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

me mgq †n‡i hvq ZvivB hviv nvj †Q‡o †`qPresented By Mahmud

Page 10: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

wR‡Z hvq ZvivB hviv †Q‡o †`q ïay Rqm~PK †iLvUv cvi nevi ci

Page 11: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

Page 12: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

eccos1sin.1

sec1cos.2

cot1tan.3

tan1cot.4

cos1sec.5

sin1cos.6 ec

cossintan.7

sincoscot.8

1cossin.9 22

22 cos1sin

22 sin1cos

1tansec.10 22

22 tan1sec

1sectan 22

1cotcos.11 22 ec

22 cot1cos ec1coscot 22 ec

wÎKvYwgwZK m~Îvejx :-A

AAAsin1sin1)sec(tan 2

2| cÖgvY Ki †h,cÖgvY t

evgc¶ = 2)sec(tan AA

=2

cos1

cossin

AAA

=2

cos1sin

AA

=2

2cos)sin1(

AA

= AA2

2

sin1)sin1(

= )sin1()sin1(AA

= AA

sin1sin1

= Wvbc¶

)sin1()sin1(AA

2

22

ba

ba

Presented By Mahmud

(cÖgvwYZ)

Page 13: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

Page 14: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

1 x 1 = 1> 11 x 11 = 121> 111 x 111 = 12321> 1111 x 1111 = 1234321> 11111 x 11111 = 123454321> 111111 x 111111 = 12345654321> 1111111 x 1111111 = 1234567654321> 11111111 x 11111111 = 123456787654321> 111111111 x 111111111=12345678987654321

Page 15: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

> 1 x 8 + 1 = 9> 12 x 8 + 2 = 98> 123 x 8 + 3 = 987> 1234 x 8 + 4 = 9876> 12345 x 8 + 5 = 98765> 123456 x 8 + 6 = 987654> 1234567 x 8 + 7 = 9876543> 12345678 x 8 + 8 = 98765432> 123456789 x 8 + 9 = 987654321

Page 16: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

A B

CD

FE

26 h 26 h

30

30 - xxx

28

30

Page 17: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

A B

CD

FE

26 h 26 h

30

30 - x xx

28

g‡b Kwi, ABCD mvgvšÍwi‡Ki AB=CD=30, AD=BC=26, ÿz`ªZg

KY© BD=28

awi, AE=BF=x Ges DE=CF=h

D I C we›`y n‡Z AB evûi Dci DE I CF j¤^ AuvwK|

myZivs, BE=AB – AE = 30 – x

Page 18: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

A B

CD

FE

26 h 26 h

30

30 - x xx

28

Page 19: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

A B

CD

FE

26 h 26 h

30

xx

28

30 + x

Page 20: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

hv‡`i hyw³i †Rvi Kg ZvivB ‡Rvi K‡i †evSv‡Z Pvq †mB mwVK| wKš‘ Ae‡k‡l hyw³B Rqx nq|

Presented By Mahmud

Page 21: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud

Page 22: M„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb m„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶ †_‡K mevB‡K ¯^vMZg MwYZ ‡cÖ‡R‡›Ukb

Presented By Mahmud


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