Pj``kdfjs @ðfk`is
Zfi js hiPJ@@KDF `urvi quj @DFK@I sj trizi sdbrj uf `dfd, ih sjr kftjrsj`timd pdr uf phifd.
Mjftrd mj hi Ajdejtråi Ifihåtk`i, his `ðfk`is jstéf mimis pdr j`ui`kdfjs, quj `drrjspdfmjf i hi trimu``kðf ifihåtk`i mj uf huair ajdeëtrk`d mjs`rktd skftëtk`iejftj.
Mimi ufi rj`ti M (mkrj`trkz (mkrj`trkz ) y uf puftd G ( gd`d) quj fd jsté jf M, ufi `ðfk`i js jh huair ajdeëtrk`d mj tdmds hds puftds S tihjs quj su mkstif`ki ih gd`d jftrj su mkstif`ki i hi mkrj`trkz js `dfstiftj. Jsti `dfstiftj sj hhiei jx`jftrk`kmim.
Mimi hi mkrj`trkz M y jh gd`d gd`d G , hi rjhi`kðf
SG j SM S
mjgkfj hi `ðfk`i mj jx`jftrk`kmim j. G
P
S P
M
Hi rj`ti , P i hi pjrpjfmk`uhir mkrj`trkz y quj pisi pdr jh gd`d js joj mj skejtråi
@uifmd j 9,
y
js mj`kr,
S
x
G
M
SG SM hi mkstif`ki ih gd`d js oustiejftj kauih i hi oustiejftj kauih mkstif`ki hi mkrj`trkz, hi `ðfk`i sj hhiei pirébdhi.
SIRIBDHIP Jf hi gkauri mj hi kzqukjrmi sj trizirdf pirébdhis `df gd`d jf jh drkajf y mkrj`trk`js mkrj`trk`js x59 x52 x50
Fdtjeds quj, i ejmkmi quj hi mkrj`trkz sj ihjoi mjh gd`d, hi pirébdhi sj ‘ibrj―
J`ui`kðf mj ufi pirébdhi `df gd`d G (3,3) x 9 y mkrj`trkz @ded SG 5 SY, y 2 2 2 x y ( x 9)
Sdr hd tiftd,
Y (9 , y )
S ( x , y )
G
x
x
2
y
2
x
2
2x 9
Pkephkgk`ieds, x 9
y
2
2 x 9
Mimi hi mkrj`trkz y y jh gd`d G y hi rjhi`kðf
SG j SM S
M G
x
`df j 8 9, mjs`rkbj hi `ðfk`i quj sj hhiei jhkpsj, pujs hi mkstif`ki ih gd`d sj qujmi `drti `df rjspj`td i hi mkstif`ki i hi mkrj`trkz.
J`ui`kðf mj ufi jhkpsj `df gd`d G(3,3) , jx`jftrk`kmim j 5 9/2 y mkrj`trkz x 5 9 @ded 2SG 5 SY,
y
=( x
S ( x , y ) S ( x , y )
Y (9 , y )
G
G
2
y ) ( x 9)
2
Sdr hd tiftd,
= x
2
2
2
= y
x
2
2x 9
x Pkephkgk`ieds,
0 x
2
2
= y 2 x 9
JHKSPJP Jf hi gkauri mj hi kzqukjrmi sj trizirdf jhkpsjs `df jx`jftrk`kmim .7, gd`d jf jh drkajf y `df mkrj`trk`js mkrj`trk`js x59 x52 x50 x5= Fdtjeds ildri quj i ejmkmi quj hi mkrj`trkz sj ihjoi mjh gd`d hi jhkpsj sj iarifmi skf `iebkir mj gdrei
@KR@
[email protected] Js uf huair ajdeëtrk`d mj uf `dfouftd mj kfgkfktds puftds quj jqukmkstif mj uf puftd sktuimd jf jh `jftrd.
JHJEJF]DP MJ ZFI @KR@ZFGJRJF@KI Ghj`li d F siakti Y
@ujrmi SY S
Rj`ti sj`iftj
E
Rimkd I
B
@jftrd
Ir`d BY
Mkéejtrd ( IB ) ]
Suftd mj tifajf`ki
Rj`ti tifajftj
J`ui`kðf mj hi `kr`ufgjrjf`ki J`ui`kðf mj hi `kr`ufgjrjf`ki
Hi `kr`ufgjrjf`ki js jh huair ajdeëtrk`d mj tdmds hds puftds mjh phifd `uyi mkstif`ki i @ js kauih i r. Hi j`ui`kðf mj ufi `kr`ufgjrjf`ki mj `jftrd @ (x d, yd) y rimkd r r js?
x xd 2 y yd 2 r 2
Hi j`ui`kðf ajfjrih js?
x 2 y 2 Ix By @ 3
Hi j`ui`kðf mj ufi `kr`ufgjrjf`ki mj `jftrd @ (3, 3 ) y rimkd r r js?
x 2
y 2
r 2
BKBHKDARIGKI Eitjeétk`is Srjufkvjrsktirkis. Mri. Mri. Hdurmjs Sihi`kds & E.K.B. Fdrei @istiùjmi md`jf`ki.kzt.uie.ex/`bk``/prjsjfti`kdfjs/hdurmjs%23y%23fdrei/J`ui`kdfjs%23mj %23hi%23rj`ti. ppt ppt •
Plkrhjy Brdebjra, Riqujh Wihmës Wihmës md`jf`ki.kzt.uie.ex/`bk``/prjsjfti`kdfjs/Guf]rkad. ppt ppt •
Ibrilie Air`åi Rd`i www.sj`tdreitjeitk`i.`h/ ppt / @KR@ZFGJRJF@KI @KR@ZFGJRJF@KI TIB. ppt ppt •
kjskhhuj.jmu`i.iriadf.js/tk`/ ppt /Rj`tis%23y%23`kr`ufgjrjf`kis. ppt ppt
