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E\L-LOVELY-H\math21-1 IInd 6-8-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12 VIIth 11-5-13
vFkZ'kkfL=k;ksa dk xf.kr
uksV
VkLd r`rh; dksfV dh lkjf.kd esa iafDr;ksa rFkk LraHkksa dh la[;k fdruh gksrh gS\
igys LrEHk osQ vo;oksa ( ) osQ lkis{k foLrkj
dYiuk dhft, fd ∆ 4 5 3
tgk¡ 7 7 Øe'k% lkjf.kdksa dks izdV djrs gSaA
7 rFkk ftu iafDr;ksa rFkk LrEHkksa esa vkrs gSa] mUgsa NksM+dj] Åij dh Hkk¡fr fy[kus ijµ
b c b c b c
4 2 2 , Q = 1 1 , R = 1 1
b 3 c 3 b 3 c 3 b 2 c 2
∴ lehdj.k (2) ls
b c b c b c
∆ 4 a 1 b 2 3 c 2 3 − a = 2 b 1 3 c 1 3 + a = 3 b 1 2 c 1 2
4 5 5 5 3 5
4 5 5 3 3 5
Li"V gS fd mi;ZqDr nksuksa fof/;ksa ls vyx&vyx foLrkj djus ij ,d gh iQy izkIr gksrk gSA ;gk¡ mYys[kuh;
gS fd izR;sd lkjf.kd dk ,d fuf'pr eku gksrk gS tks mldk izlkj djus ij izkIr gksrk gSA
fdlh vo;o dk milkjf.kd Kkr djus dh fof/
ekuk gesa mijksDr r`rh; dksfV osQ lkjf.kd osQ vo;o dk milkjf.kd Kkr djuk gS] rks ftl iafDr
rFkk LrEHk
esa vkrk gS mls NksM+us ij tks lkjf.kd 'ks"k cpsxk ogh vo;o dk
milkjf.kd gksxkA
vr% vo;o dk milkjf.kd fuEuor~ gSµ
a 1 b 1
a 3 b 3
blh izdkj vU; lHkh vo;oksa osQ milkjf.kd Kkr fd;s tk ldrs gSaA è;ku jf[k;s fd milkjf.kd fudkyrs le;
fpÉ ij fopkj ugha fd;k tkrk gSA vr% izR;sd milkjf.kd /ukRed ($) fpÉ dk gksrk gSA
Lo&ewY;kadu
fjDr LFkkuksa dh iwfrZ djsa 1
:
µ
--------- dksfV osQ lkjf.kd esa rhu iafDr;k¡ rFkk rhu LraHk gksrs gSaA
fdlh lkjf.kd esa mQij ls uhps dh vksj --------- js[kk,¡ mldh Øe'k% igyh] nwljh] rhljh iaafDr;k¡
dgykrh gSaA
ckb± vksj ls nkb± vksj --------- js[kk,¡ mlosQ Øe'k% igys] nwljs] rhljs LraHk dgykrs gSaA
" izR;sd lkjf.kd dk :i --------- gksrk gSA
% izR;sd lkjf.kd dk ,d --------- eku gksrk gS tks mldk izlkj djus ij izkIr gksrk gSA