Page 28 - DECO403_MATHEMATICS_FOR_ECONOMISTS_PUNJABI
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noEPk;soh dk rfDs

                     B'N       b/ykfuZso gkoPt fuZso ftZu fdykfJnk frnk j?.



















                                                 2
                               T[dkjoD 10H teo  x −  y =  9  dk b/ykfuZso fyZu'.
                                                    2
                               jZb L fdZsk j'fJnk teo fBwB j?^
                                                      2
                                                      x −  y = 9
                                                  2
                                                −
                                                       =
                               iK            (x 2  / 9) (y 2  / 9) 1
                                                     =
                                            −
                               fijVk  (x 2  / a 2  )(y 2  / b 2  ) 1  d/
                               o{g   dk    fJZe   nfsgotb
                               (hyperbola) j?.
                               s[bBk eoB s/,
                                              a =  ns/  b =
                                              9
                                            2
                                                         9
                                                      2
                               ⇒             a =± ns/  b =±
                                                         3
                                               3
                               ∴  noX^nB[gq;E neP  a=  =  3
                                                         3
                               ns/  noX^;z:[rwh neP  b==
                                              =
                               j[D x-neP s/  OA OA′ =
                                                     3
                               ns/ y-neP s/  OB = OB′ =  3
                               d{ohnK b? e/ tor PQRS pDkfJnk.

                               1H13 noEPk;so ftZu o/fye cbBK dk T[g:'r
                                     (Use of Linear Functions in Economics)
                               noEPk;so ftZu o/fye cbBK ns/ ;ob o/yk d/ ;wheoDK dk pj[s T[g:'r j?. pkiko ftZu
                               fe;h t;s{ dh ehws, wzr ns/ g{osh d[nkok fBoXkfos j[zdh j?. i/eo wzr ns/ g{osh cbB
                               fdZsk j'D sK n;hA ;kw:kt;Ek fpzd{ T[Zs/ nfijh ehws ns/ wksok dk fBoXkoD eo ;ed/ jK
                               fiZE/ wkb p/uD ns/ yohdD tkb/ d'B'A jh ;zs[PN j' ikD.


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