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VED1
          E\L-LOVELY-H\math9-1 IInd 6-8-11 IIIrd  24-1-12 IVth 21-4-12 Vth 20-8-12 VIth  10-9-12



          vFkZ'kkfL=k;ksa dk xf.kr




                                                            2
                   uksV                ----------          dy
                                  3-        osQ fy,   (   ij   2   dk eku ½.kkRed gksrk gSA
                                                           dx
                                                           dy
                                                             2
                                  4-  fufEu"B osQ fy,   (   ij   2  dk eku  ---------  gksrk gSA
                                                           dx
                                9-4 mfPp"B vFkok fufEu"B fdlh osQ Hkh u gksus dk izfrcU/  '
                                     - 
 
     + ,       +


                                fcUnq   (   ij iQyu    (      u rks mfPp"B gksxk vkSj u gh fufEu"B gksxk] ;fn


                                                                    3
                                                2
                                               dy                  dy   dk eku
                                               dx 2   dk eku   
 rFkk  dx 3


                                mfPp"B rFkk fufEu"B ekuksa osQ xq.k %
                                  1-  mfPp"B eku osQ ckn fufEu"B eku vkSj fufEu"B eku osQ ckn mfPp"B eku vkrk gS vFkkZr~ mfPp"B vkSj
                                      fufEu"B eku ,dkUrj Øe ls vkrs gSaA
                                  2-  iQyu osQ nks leku ekuksa osQ eè; de&ls&de ,d mfPp"B ;k fufEu"B eku vo'; gksrk gSA

                                  3-  mu fcUnqvksa ij tgk¡ iQyu dk eku mfPp"B ;k fufEu"B gS Li'kZ js[kk,¡   v{k osQ lekUrj gksrh gSaA vr%
                                                  dy                 dy
                                      ,sls fcUnqvksa ij    dk eku 'kwU; gksxk    ( + eku nsdj izkIr lehdj.k dks gy djus ls   osQ
                                                  dx                 dx
                                      eku Kkr gks tkrs gSa ftu ij iQyu dk eku mfPp"B ;k fufEu"B gksrk gSA
                                                                      dy
                                  4- iQyu osQ mfPp"B ;k fufEu"B fcUnqvksa ij    dk fpÉ cnyrk gSA mfPp"B fcUnq ij ;g fpÉ /u
                                                                      dx
                                      ls Í.k vkSj fufEu"B fcUnq ij Í.k ls /u esa ifjofrZr gksrk gSA





                                   VkLd  fufEu"B dks ifjHkkf"kr djsaA


                                9-5 iQyu           dk mfPp"B rFkk fufEu"B eku Kkr djus osQ fØ;k in
                                       
  
  + ,     
  +


                                                   dy
                                       
    (      dk    Kkr djukA
                                                   dx
                                         dy
                                      

     ( + j[kdj izkIr lehdj.k ls   osQ fHkUu&fHkUu eku Kkr djukA
                                         dx
                                      


  eku yks fd   osQ fHkUu&fHkUu eku   )   )    gSaA

                                                                          2
                                                                         dy

                                      
(     C    Kkr djosQ   )   )    vkfn ij   dx 2   dk eku Kkr djukA
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