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K¬vkcwiwPwZ t
‡kªwb t GKv`k †kÖwb
welq t MwYZ cÖ_g cÎ
শিক্ষক পশিশিশি
ম োঃ ন শিি উশিন
িহক িী অধ্য পক,গশিিশিভ গ
কয শিয় নকলেজ,ঢ ক
ি িয : 01
ি ধ্ ন:
প্র ি কিমে 3
2 2
2 2 ( )
2 2
a b c a a
b b c a b a b c
c c c a b
 
    
 
2 2
2 2
2 2
a b c a a
b b c a b
c c c a b
 
 
 
'
1 1 2 32 2
2 2
a b c a b c a b c
b b c a b r r r r
c c c a b
     
    
 
1 1 1
( ) 2 2
2 2
a b c b b c a b
c c c a b
   
 
0 0 1
( ) ( ) ( ) 2
0 ( )
a b c a b c a b c b
a b c c a b
      
   
'
1 1 2
'
2 2 3
c c c
c c c
 
 
3
0 0 1
( ) 1 1 2
0 1
a b c b
c a b
  
 
3 3 31 1
( ) ( ) (1 1) 2( )
0 1
a b c a b c a b c

        
(Proved)
ি িয : 0২
ি ধ্ ন:
প্র ি কিমে
2 2
2 2
2 2
a bc ca c
a ab b ca
ab b bc c



a c a c
abc a b b a
b b c c



'
1 1 2 3
0
2 ( )
2
c a c
abc b b a c c c c
b b c c

  

'
2 2 3
0
(2 ) 0
1
c a c
abc b c a c r r r
b c c

    

0
(2 ) 1
1
c a c
abc b b a
b c c



2
2
c a c
ab c
c a c

 
2 2 2 2
2 2 ( )
c a c
ab c ab c ca c ca c
c a c

   
 
2 2 2 2 2
2 2 2 4
c a c
ab c ab c ca a b c
c a c

  
 
ি িয : 0৩
ি ধ্ ন:
প্র ি কিমে
2 2
2 2
2 2
b c ab ca
ab c a bc
ca bc a b



2 2 2 2
2 2 2 2
2 2 2 2
1
ab ac ab c a
a b bc ba bc
abc
ca b c ca cb



2 2
2 2 2 2 '
1 1 2 3
2 2 2 2
0
1
2
2
ab c a
bc bc ba bc c c c c
abc
b c b c ca cb
    
 
2 2
2 2 2
2 2 2
0
2
ab c a
bc
c bc ba bc
abc
b b c ca cb



2 2
2 2
0
2 ( )
ab ca
bc bc
c c a bc
abc
b bc a b



2 2
2 2
0
2
ab ca
bc
c c a bc
a
b bc a b



2 2
2 2
0
2
b c
abc
c c a bc
a
b bc a b



2 2 2
2 2 2
0
2
b c
bc
bc bc a b b c
bc
bc bc ca b c



2 2 '
2 2 3
2 2 2
0
2 0
b c
a b ca r r r
bc bc ca b c
   

2 2
2 2 2
0
2 0
1
b c
bc a b ca
bc ca b c
 

2 2
2 2 2
0
2 0
1
b c
bc a b ca
bc ca b c
 

2 2
2
b c
bc
a b ca


2 2 2 2 2
2 2
1 1
2 4b c a b c
a a
 

ি শিিক জ
প্র ি কিমে
প্র ি কিমে
প্র ি কিমে
প্র ি কিমে
প্র ি কিমে
math 04

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math 04

  • 1. K¬vkcwiwPwZ t ‡kªwb t GKv`k †kÖwb welq t MwYZ cÖ_g cÎ শিক্ষক পশিশিশি ম োঃ ন শিি উশিন িহক িী অধ্য পক,গশিিশিভ গ কয শিয় নকলেজ,ঢ ক
  • 2.
  • 3. ি িয : 01 ি ধ্ ন: প্র ি কিমে 3 2 2 2 2 ( ) 2 2 a b c a a b b c a b a b c c c c a b          2 2 2 2 2 2 a b c a a b b c a b c c c a b       ' 1 1 2 32 2 2 2 a b c a b c a b c b b c a b r r r r c c c a b             
  • 4. 1 1 1 ( ) 2 2 2 2 a b c b b c a b c c c a b       0 0 1 ( ) ( ) ( ) 2 0 ( ) a b c a b c a b c b a b c c a b            ' 1 1 2 ' 2 2 3 c c c c c c     3 0 0 1 ( ) 1 1 2 0 1 a b c b c a b      3 3 31 1 ( ) ( ) (1 1) 2( ) 0 1 a b c a b c a b c           (Proved)
  • 5. ি িয : 0২ ি ধ্ ন: প্র ি কিমে 2 2 2 2 2 2 a bc ca c a ab b ca ab b bc c    a c a c abc a b b a b b c c    ' 1 1 2 3 0 2 ( ) 2 c a c abc b b a c c c c b b c c     
  • 6. ' 2 2 3 0 (2 ) 0 1 c a c abc b c a c r r r b c c        0 (2 ) 1 1 c a c abc b b a b c c    2 2 c a c ab c c a c   
  • 7. 2 2 2 2 2 2 ( ) c a c ab c ab c ca c ca c c a c        2 2 2 2 2 2 2 2 4 c a c ab c ab c ca a b c c a c      
  • 8. ি িয : 0৩ ি ধ্ ন: প্র ি কিমে 2 2 2 2 2 2 b c ab ca ab c a bc ca bc a b    2 2 2 2 2 2 2 2 2 2 2 2 1 ab ac ab c a a b bc ba bc abc ca b c ca cb    2 2 2 2 2 2 ' 1 1 2 3 2 2 2 2 0 1 2 2 ab c a bc bc ba bc c c c c abc b c b c ca cb       
  • 9. 2 2 2 2 2 2 2 2 0 2 ab c a bc c bc ba bc abc b b c ca cb    2 2 2 2 0 2 ( ) ab ca bc bc c c a bc abc b bc a b    2 2 2 2 0 2 ab ca bc c c a bc a b bc a b   
  • 10. 2 2 2 2 0 2 b c abc c c a bc a b bc a b    2 2 2 2 2 2 0 2 b c bc bc bc a b b c bc bc bc ca b c    2 2 ' 2 2 3 2 2 2 0 2 0 b c a b ca r r r bc bc ca b c      2 2 2 2 2 0 2 0 1 b c bc a b ca bc ca b c   
  • 11. 2 2 2 2 2 0 2 0 1 b c bc a b ca bc ca b c    2 2 2 b c bc a b ca   2 2 2 2 2 2 2 1 1 2 4b c a b c a a   
  • 12. ি শিিক জ প্র ি কিমে প্র ি কিমে প্র ি কিমে প্র ি কিমে প্র ি কিমে