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VED1
E L-LOVELY-H math17-1 IInd 6-8-11 IIrd 21-10-12 IVth 21-4-12 Vth 20-8-12

noEPk;soh dk rfDs

B'N

iK

iK

(nzfPe cbB d[nkok)
d'jK gk;/ nB[ebB eoB s/

iK

iK

iK

17H1H3 ;wheoD fijVk ;wo{g ;wheoD ftZu pdfbnk ik ;e/
(Equations Changable to Homogeneous Form)
i/eo fBy/VB fBwB fbys o{g ftZu j?^
+
+
dy ax by c a b
= , fiZE/ ≠
+
+
dx a x b y c a b
1 1 1 1 1
sK n;hA T[;B{z gfjbK x = x + h ns/ y = y + k oZye/ ;wo{g ;wheoD ftZu pdb b?Ad/ jK. (fJZE/
h ns/ k ;fEo nze jB) fJ;d/ fJbktk dy = dY ns/ dx = dX oZy b?Ad/ jK^

T[go'es ;wheoD ;wo{g j't/rh i/eo ah + bk + c = 0 ns/ a 1 h + b 1 k + c 1 = 0 j'D,
+
DY ax by
=
+
DX ax by
1
1
j[D n;hA ;wheoD B{z fgSb/ T[dkjoD (n) d/ nB[;ko Y = vX oZye/ jZb eoKr/. nzs ftZu X =
x – h ns/ y = y – k oZye/ fdZs/ j'J/ ;wheoD dk jZb y'i fbnk ikJ/rk.
a b
i/eo = = m j't/ sK T[go'es fdZsk j'fJnk ;wheoD fBwB nB[;ko j't/rk^
a b
1 1
m ( dy + )ax by + c
= 1 1
+
+
dx ax by c
1 1 1
fJ; soQK d/ fBy/VB ;wheoD B{z jZb eoB d/ bJh v = a 1 x + b 1 y wkB b?Ad/ jK.
−+
dy y x 1
T[dkjoD 4L = dk jZb gsk eo'.
++
dx y x 5

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