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Name of the college : Fatima Memorial
Training College
Name of the teacher : Soumya.S
Name of the subject : Mathematics
Reg.no : 13352019
`n¶IkwJyIÄ
]qÀ®kwJyIÄ (integers)
F®Â kwJyIÄ, AhbpsS yq §Ä Chsb FÃmw
s]mXphmbn ]qÀ®kwJyIÄ F¶mWv ]dbp¶Xv.
`n¶IkwJyIÄ(Rational Numbers)
]qÀ® kwJyIÄ, `n¶kwJyIÄ (A[n kwJyIfpw yqkwJyIfpw)
F¶nhbvs¡ Ãmw s]mXphmbn¸dbp¶ t]cmWv `n¶I kwJyIÄ
`n¶Icq]w
GXp `n¶I kwJytbbpw (`n¶kwJy bmbmepw
]q˨kwJybmbmepw)
F¶o]qÀ®kwJyIÄ D]tbmKn¨v
F¶ cq]¯nsegpXmw
,x y
x
y
Hcp `n¶IkwJybpsS Awit¯bpw tOZt¯bpw Htc ]qÀ®kwJy sImv (0
HgnsI) KpWn¨m B `n¶I¯nsâ Xs¶ ]e ]e cq]§Ä In«pw.
hnhn[ cq]§Ä
 0
a ax
x
b bx
 
`n¶I§fpsS XpI
F¶nh `n¶I§fmbmÂ,,
a P
b q
a p a q b p
b q b q
aq bp
bq
  
 



`n¶I§fpsS hyXymkw
F¶nh `n¶I§fmbmÂ,,
a P
b q
a p a q b p
b q b q
aq bp
bq
  
 



`n¶I§fpsS KpWw
F¶nh `n¶I§fmbmÂ,,
a P
b q
a p a p
b q b q
ap
bq

 


`n¶I§fpsS lcWw
F¶nh `n¶I§fmbmÂ,,
a P
b q
a P a q
b q b p
a q
b p
aq
bp
  




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