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VED1
E L-LOVELY-H math30-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12

fJekJh^30 L f;wgb?e; ftXh

fJZE/ T[d/P cbB dk wkB B'N
Z j = Z o = 0

gozs{ fJ;dk fBT{BswheoD BjhA j'fJnk j?, feT[Afe ;fdP P 2 d/ ;zdoG ftZu Z j – C j > 0 j?. fJ;
bJh P 2 B{z fBT{Bsw eoB d/ bJh n;hA θ ukb (θ trick) dk T[g:'r eoKr/^

P o = 2P 4 + 11P 7 + 5p 6 ....(i)
P 2 = –4P 4 + P 7 – 3P 6 ....(ii)
;wheoD (ii) B{z θ Bkb r[Dk eoB s/
θP 2 = –4θ P 4 + 5P 7 = 3θ P 6 ....(iii)
;wheoD (iii) B{z (i) ftZu'A xNkT[D s/

P o = θP 2 + (2 – 4θ) P 4 + (11 – θ) P 7 + (5 – 3θ) P 6 .....(iv)
1 5 1 1
θ d/ fszB wkBK , 11 ns/ ftZu'A θ= ;zpzX wkB jB, fJ; s'A fJbktk (iv) ftZu θ=
2 3 2 2
oZyD s/

1 21 7
p = P + 0P + P + P
0 2 4 7 6
2 2 2
1 21 7
= P = P + P .....(v)
2 2 2 7 2 6
;wheoD (v) BthB nXko 11 j'fJnk fi; ftZu P 2 , P 7 ns/ P 6 Pkfwb j?. fJ; soQK P 4 d/ ;EkB
s/ P 2 dk ;wkt/P eoB s/ nZr/ fbyh ;koDh d/ o{g ftZu fby ;ed/ jK^
3
fJZE/ T[d/P cbB dk wkB Z j = Z o = −
2
fJj Io{oh wzfBnk j? feT[Afe Z j – C j < 0
j = 1, 2, .......... 7

LOVELY PROFESSIONAL UNIVERSITY 365