Page 171 - DECO403_MATHEMATICS_FOR_ECONOMISTS_HINDI
P. 171

VED1
          E\L-LOVELY-H\math9-1 IInd 21-10-11 IIIrd  24-1-12 IVth 21-4-12 Vth 20-8-12 VIth 10-9-12


                                                                              bdkbZ    mfPp"B vkSj fufEu"B % ,d pj




                                  2
                                 dy   (  + ; !    ; !  *   ; ! , !  ( !+  8 *  8 , !               uksV

                                 dx 2
                                     ( I+ /ukRed
          ∴                          ( ! ij iQyu fufEu"B gSA
                                     (+ izfrLFkkfir djus ij

                                  2
                                 dy
                                 dx 2   ( +) iQyu mfPp"B gS vFkok fufEu"B ugha dgk tk ldrkA
                                  3
                                 dy

          vc                       3   (  +   *   +  , !+
                                 dx
                                     ( +) izfrLFkkfir djus ij
                                  3
                                 dy
                                 dx 3   ( + * + , !+ ( !+ tks 'kwU; ugha gSA

          vr%   ( + ij iQyu u mfPp"B gS vkSj u fufEu"BA
          mnkgj.k 6- iQyu    ! %     ! #     !    dk mfPp"B eku Kkr dhft;sA
          gy % eku yhft,   (    *       *       * !

                                     (    *     ,     *

          nksuksa i{kksa dk   osQ lkis{k vodyu djus ij
                                  dy
                                  dx   ( !   *     ,
          mfPp"B ;k fufEu"B eku osQ fy,
                                  dy
                                  dx   ( +

          ∴            !   *     ,    ( +
                                       12  ±     − 144  ×  3 11  12  ± 2 3
                                                       × 4
          ;k                         (                      (
                                                6                 6
                                           1
          ⇒                          (   M
                                            3
                                            1                       1
          ∴                          (   ,           ;k        (   *
                                            3                        3
                                  2
                                 dy
          vc                       2   (    *
                                 dx
                  1
            (   ,     osQ fy,
                   3

                                  2
                                 dy   (    2  +  1     *    (
                                         
                                 dx 2        3         3   /ukRed
   166   167   168   169   170   171   172   173   174   175   176