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JANCY MARY.B
Roll No. 21
Mathematics
Kannur University
Teacher Education Centre
Dharmasala
k am´ c h cI Ä
k am´ c ` mKw
 aqt ¶ mA Xne [ nI t amk am´ c h cI Ä
G Xpc- ph cI sf b pwapdn¡ p¶ Xv
Ht c A wi _ Ô ¯ ne mW v.
a
b
c
p
q
r
A:b:c = p:q:r A:b:c = p:q:r
a b c
p q r
aqt ¶ mA Xne [ nI t amk am´ c h cI Ä Hcp
h csb Xpe y` mK§ f mb n
apdn¡ pI b msW ¦ n , G Xph csb b pw
Xpe y` mK§ f mb n¯ s¶ apdn¡ pw.
a
a
a
p
p
p
q q q
a a a
{X nt I mW ` mKw
 G X p{X nt I mW ¯ ne pwHcph i ¯ n p
k am´ camb nh cb v¡ p¶ h c, aäpc- p
h i § sf Ht c A wi _ Ô ¯ ne mW v
apdn¡ p¶ X v.
a
p
qb
b
a
pq
a:b = p:q a:b = p:q
 G Xp{Xnt I mW ¯ ne pwHcph i ¯ n p
k am´ camb nasämcph i ¯ nsâ
a[ y_ nµ ph ne qsS h cb v¡ p¶ h c,
aq¶ mas¯ h i s¯ ap«p¶ XpwA Xnsâ
a[ y_ nµ ph ne mW v.
 Hcp{Xnt I mW ¯ nsâ c- ph i § f psS
a[ y_ nµ p¡ Ä t b mPn¸ n¡ p¶ h cb psS
 of waq¶ mas¯ h cb psS  of ¯ nsâ
] I pXnb mW v.
 G Xp{Xnt I mW ¯ ne pwHmt cmaqe b nÂ
 n¶ pwF XnÀh i t ¯ ¡ ph cb v¡ p¶
e w_ § Ä Hä _ nµ ph ne qsS I S¶ pt ] mI pw
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Parallel lines

  • 1.
  • 2. JANCY MARY.B Roll No. 21 Mathematics Kannur University Teacher Education Centre Dharmasala
  • 3. k am´ c h cI Ä
  • 4. k am´ c ` mKw  aqt ¶ mA Xne [ nI t amk am´ c h cI Ä G Xpc- ph cI sf b pwapdn¡ p¶ Xv Ht c A wi _ Ô ¯ ne mW v. a b c p q r A:b:c = p:q:r A:b:c = p:q:r a b c p q r
  • 5. aqt ¶ mA Xne [ nI t amk am´ c h cI Ä Hcp h csb Xpe y` mK§ f mb n apdn¡ pI b msW ¦ n , G Xph csb b pw Xpe y` mK§ f mb n¯ s¶ apdn¡ pw. a a a p p p q q q a a a
  • 6. {X nt I mW ` mKw  G X p{X nt I mW ¯ ne pwHcph i ¯ n p k am´ camb nh cb v¡ p¶ h c, aäpc- p h i § sf Ht c A wi _ Ô ¯ ne mW v apdn¡ p¶ X v. a p qb b a pq a:b = p:q a:b = p:q
  • 7.  G Xp{Xnt I mW ¯ ne pwHcph i ¯ n p k am´ camb nasämcph i ¯ nsâ a[ y_ nµ ph ne qsS h cb v¡ p¶ h c, aq¶ mas¯ h i s¯ ap«p¶ XpwA Xnsâ a[ y_ nµ ph ne mW v.
  • 8.  Hcp{Xnt I mW ¯ nsâ c- ph i § f psS a[ y_ nµ p¡ Ä t b mPn¸ n¡ p¶ h cb psS of waq¶ mas¯ h cb psS of ¯ nsâ ] I pXnb mW v.
  • 9.  G Xp{Xnt I mW ¯ ne pwHmt cmaqe b n n¶ pwF XnÀh i t ¯ ¡ ph cb v¡ p¶ e w_ § Ä Hä _ nµ ph ne qsS I S¶ pt ] mI pw