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inrdyS EMk ijEimqI

inrdyS EMk ijEimqI. Co-ordinate Geometry. AiDAwpk : pvndIp kum`r ( mYQ ). ivS` : gixq jm`q : nOvIN. s.s.s.skUl lq`l `, lUiDE`x `. sUcI. audyS inrdySAMk ijAimqI ivsQwr kwrtIjn smql kwrtIjn smql dIAW cOQwieAW Buj Aqy koit cwr cOQweIAW iv`c inrdyS AMkW dy inSwn is`tw AiBAws

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inrdyS EMk ijEimqI

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  1. inrdySEMkijEimqI Co-ordinate Geometry AiDAwpk : pvndIpkum`r (mYQ) ivS` : gixq jm`q : nOvIN s.s.s.skUllq`l`, lUiDE`x`

  2. sUcI • audyS • inrdySAMkijAimqIivsQwr • kwrtIjnsmql • kwrtIjnsmqldIAWcOQwieAW • BujAqykoit • cwrcOQweIAWiv`cinrdySAMkWdyinSwn • is`tw • AiBAws • Biblography

  3. audyS iekGwqIsmIkrnAqy do GwqIsmIkrnWnUMgRwPivDIrwhI hl krnw[

  4. ihswbdwnrynydkwrqy ie`kidnjdoNauhAwpxyibsqrqyAwrwmkrirhwsIqWausnyie~ksmqlqyie`kibMdUdIsiQqIdwinrDwrxkrnnwlsMbMiDqsm`isAwdwh`ll`BilAw[ izvyikqusIdyKogyikausdIivDIAkSwSAqyryKWSdIpurwxIivcwrDwrwdwhIie~kivkisqrUpsI[ ie`ksmqldIie`kibMdUdIsiQqIdwinrDwrxkrniv`cjrUrIpRxwlIvIikhwjWdwhY[

  5. Y X O X/ Y/ gR`PauqyryK` KMfXOX EqyYOY ie@kdUjynMUibMdUOauqYk@tdyhn XOX nMUx-Dur`EqyYOY nMUy-Dur`ikh` j~d` hY| ibMdUO mUlibMdUikh` j~d` hY| Y-Dur` x-Dur`

  6. Y X/ O X Y/ y-Dury dy auprly p`sy sMiKE~v~ (+)dIE~ Eqy hyT~ v`ly p`sy (-) dIE~ huMdIE~ hn| x-Dury dy s@jy p`sy sMiKE~v~ (+)dIE~ Eqy K@by v`ly p`sy (-) dIE~ huMdIE~ hn|

  7. k`rtIjnsmql Y X O X/ Y/ x-Dur`Eqyy-Dur`ijssmqliv@chuMdyhnaussmqlnMUk`rtIjnsmql (cartesian plane) ikh` j~d` hY| k`rtIjn smql

  8. k`rtIjn smql dIE~ cOQ`eIE~ Y X O X/ Y/ dUsr` cOQ`eI pihl` cOQ`eI I II IV III qIsr` cOQ`eI cOQ` cOQ`eI

  9. Buj Eqy koit iksy ibMdU nMU E`lyK qy idK`aux leI do sMiKE`v~ dI lOV huMdI hY ijhn~ nMU inrdySEMk ikh` j`d~ hY| pihly inrdyS EMk nMU x j~ Buj kihMdy h~|dUsry inrdyS EMk nMU y j~ koit kihMdy h~| ijvyN ik ibMdU p leI x j~ Buj dI kImq a hY Eqy y j~ koit dI kImq b hY| ijvyN ik ibMdU Q leI x j~ Buj dI kImq -3 hY Eqy y j~ koit dI kImq 4 hY| P(a,b) P(-3,4)

  10. Y X O X/ Y/ c`rcOQ`eIE~ ivcinrdySEMk~ dyinS`n dUsry cOQ`eI iv@c x, - d` Eqy y, + d` hovyg` pihl` cOQ`eI iv@c x,+ d` Eqy y,+ d` hovyg` (-,+) II I (+,+) IV (+,-) (-,-) III qIsry cOQ`eI iv@c x,- d` Eqy y, - d` hovyg` cOQy cOQ`eI iv@c x,+ d` Eqy y, -d` hovyg`

  11. swr-AMS • ie`ksmqliv`cie`kvsqUdwsQwninrDwrxkrndyleIlMBryKwvWdIjrurqhuMdIhY, ijsiv`cie`klytvIAqydUjIKVvINhuMdIhY[ • smqlnUMkwrtIjnjWinrdySAMksmqlikhwjWdwhYAqyryKwvWnMUinrdySAMkDuryikhwjWdwhY[ • lytvIryKwnUMx –DurwAqyKVvIryKwnUMy –DuryikhwjWdwhY[ • inrdySAMksmqlnUMcwrBwgWiv`cvMifAwjWdwhY, ijnHWnUMcOQwieAWikhwjWdwhY[ • DuirAWdykwtvyNibMdUnMUmUlibMdUikhwjWdwhY[ • mUlibMdUdyinrdySAMk (0,0) huMdyhn[

  12. AiBAws

  13. hyTilKypRSnWdyau`qridau[ • gR`PauqyryK` KMf XOX Eqy YOY ie@kdUjynMUiksibMdUauqyk@tdyhn? • XOX nMUikhV` Dur` ikh` j~d` hY? • YOY nMUikhV`Dur` ikh` j~d` hY? • ibMdU O ikhV` ibMdUikh` j~d` hY? • y-DurydyikhVyyp`sysMiKE~v~ huMdIAWhn? • X Aqyy DurwdovyNijssmqlhuMdyhnaussmqlnUMkIkihMdyhn? • iksyibMdUnMUE`lyKqyidK`auxleI do sMiKE`v~ dIlOVhuMdIhYijhn~ nMUkIikh` j`d~ hY? • pihlyinrdySEMknMUikhV` BujkihMdy h~?

  14. au`qr • gR`PauqyryK` KMf XOX Eqy YOY ie@kdUjynMU 0 ibMdUauqYk@tdyhn? • XOX nMUXDur` ikh` j~d` hY[ • YOY nMU y-Dur` ikh` j~d` hY| • ibMdU O mUlibMdUikh` j~d` hY| • (+)dIE~ auprlyEqyhyT~ v`lyp`sy (-) dIE~ huMdIE~ hn| • X Aqyy DurwdovyNijssmqlhuMdyhnaussmqlkwrtIjnsmqlkihMdyhn? • iksyibMdUnMUE`lyKqyidK`auxleI do sMiKE`v~ dIlOVhuMdIhYijhn~ nMUinrdySEMkikh` j`d~ hY| • pihlyinrdySEMknMU x j~ BujkihMdy h~|

  15. KwlI QWvW Bro[ • ibMdU ___ nUM mUl ibMdU ikhw jWdw hY[ • gRwP au`qy ryKw KMf XOX Aqy YOY ie`k dUjy nMU ibMdU ___ au`qy k`tdy hn[ • pihly inrdyS AMk nUM kI kihMdy hn? • dUjy inrdyS AMk nUM kI kihMdy hn? • x-Durydy s@jy p`sy sMiKE~v~ ___dIE~ Eqy K@by v`ly p`sy ____ dIE~ huMdIE~ hn| • XOX nUM ____ DUrw ikhw jWdw hY? • YOY nUM ____ DUrw ikhw jWdw hY?

  16. au`qr • ibMdU0nUMmUlibMdUikhwjWdwhY[ • gRwPau`qyryKwKMfXOXAqyYOYie`kdUjynMUibMdU0au`qyk`tdyhn[ • pihlyinrdySAMknUMxjWBu`jkihMdyhn[ • dUjyinrdySAMknUMyjWkoitkihMdyhn? • x-Durydys@jyp`sysMiKE~v~ (+)dIE~ EqyK@byv`lyp`sy(-) dIE~ huMdIE~ hn| • XOX nUMX DUrwikhwjWdwhY? • YOY nUMYDUrwikhwjWdwhY?

  17. pRSn(a`qrleIpRSndyilMkqyjwa) Aud`hrn: gR`PpyprauqyibMdU (2,3) nMUiksqr~ ivK`ieE` j` skd` hy? Aud`hrn: gR`PpyprauqyibMdUE` (-3,3),(-2,-3)Eqy(3,-1)nMUivK`a? Aud`hrn: gR`PpyprauqyibMdUE` (-2,3),(0,1), (1,0)Eqy (2,-1)nMUiml` kyryK` bx`aux` |

  18. Y 4 3 2 1 X/ O X -3 -2 -1 1 2 3 4 -1 -2 -3 Y/ iksy ibMdU nMU gR`P pypr au@qy idK`aux` Aud`hrn: gR`P pypr auqy ibMdU (2,3) nMU iks qr~ ivK`ieE` j` skd` hy| (2,3) koit BUj

  19. Y Y 4 3 2 1 X/ O X -3 -2 -1 1 2 3 4 -1 -2 -3 Y/ Y/ Aud`hrn: gR`P pypr auqy ibMdUE` (-3,3),(-2,-3) Eqy (3,-1) nMU ivK`a? (-3,3) koit BUj (3,-1) (-2,-3)

  20. Y 4 3 2 1 X/ O X -3 -2 -1 1 2 3 4 -1 -2 -3 Y/ Aud`hrn: gR`P pypr auqy ibMdUE` (-2,3),(0,1), (1,0)Eqy (2,-1) nMU iml` ky ryK` bx`aux` | (-2,3) (0,1) (1,0) (2,-1)

  21. Bibleography • nOvIN jmwq dI gixq dI pwT-pusqk

  22. DMnvwd

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