Page 343 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI

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E\L-LOVELY-H\math22-1 IInd 21-10-11 IIIrd 24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12 VIIth 11-5-13

bdkbZ vkO;wg dk in

 − x 2 1 5 uksV
mnkgj.k 3% ;fn 4   1 − x 0  2  rks dh izR;sd ewY; osQ fy, in dk fu/kZj.k dhft,A
 1 0 1 − x 

 − x 2 1 5
gy% fn;k gS 4  1 − x 0  2
 
 1 0 1 − x 

mijksDr lkjf.kd dk r`rh; dkWye osQ vk/kj ij foLrkj djus ij
4 5 & 9 9 4 A/ 5 5 B 5 / A/ 5 B 3 5 A % 5 5 5 "B

vFkkZr~] ;fn ≠ /7 vkSj & vkO;wg dk in 3 gksxk

 − x 2 5
vkSj ;fn 4 /7 7 & rks   0  1  4 5 ≠ /7 in 2 gksxkA

js[kh; fuHkZjrk ,oa vkO;wg dk in >
!

: ) $ % ,d vkO;wg dh
iafDr;ksa (dkWye) esa rHkh js[kh; fuHkZjrk ik;h tkrh tc mu iafDr;ksa (dkWye) dk js[kh; la;kstu 'kwU; osDVj
osQ cjkcj gksrh gSA vFkkZr~_

 a a 12 a 13  11
 
;fn a 21 a 22 a 23 rks
 
 a a 32 a 33  31
3 3 4 /

3 3 4 /

3 3 4 /

;gk¡ 7 vkSj esa de ls de ,d dk ewy 'kwU; gksuk pkfg,A

mnkgj.k 1% uhps fn;s gq, vkO;wg dh js[kh; Lora=krk dh tk¡p dhft, ,oa in fudkfy;s_
 4 12

4 24 8 
 
 36 12 
gy% xq.kk djus ij vkSj esa 5 rFkk tksM+us ij = rks

5 5 3 4 /

5 3 4 /

5 3 4 /

lehdj.k esa 7 7 vkSj esa js[kh; Lora=krk ugha gS] lehdj.k 7,oa rFkk lehdj.k

,oa esa js[kh; fuHkZjrk n'kkZ jgk gSA in osQ fy,]

 4 12  12 4
 8  24   00 0
  C   vFkkZr~ in 4 gksxkA
 36 12   00 0 
 3 5  6
 
mnkgj.k 2% ;fn 4 −1028 rks js[kh; fuHkZjrk dk ijh{k.k dhft, ,oa vkO;wg dk in
 
 5 2 3 
fudkfy;sA