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VED1
          E\L-LOVELY-H\math4-1 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




                   uksV                                      2a    1
                                                           :      :                                         mÙkj
                                                             2at    t
                                mnkgj.k 2- ;fn  	
	 	   	 	vkSj  	
	 	   	   rks   ;   Kkr dhft,A
                                         dx               dy
                                gy % ;gk¡    : 8 
 
 
 θ vkSj    :     
 θ
                                         dθ               dθ
                                              dy   dy  dx     b cosθ    b
                                ∴                =         :         =−   cotθ                              mÙkj
                                              dx   d θ  d θ  −  a  sin θ  a


                                                                 iz'ukoyh 4-4

                                      dy
                                          Kkr dhft, %
                                      dx
                                  1-   : 
 
   θ9   :     
 θ            #"   :   
  9   :

                                  3-   :   *  9   : 	  ;
                                              3at      3at 2
                                  4- ;fn   :      , y =    3  rks fl¼ dhft, fd
                                             1 +  t 3  1 +  t
                                           dy   t (2 −  t 3 )                dy                  1
                                            dx  =  1 −  2t 3                  dx   Kkr dhft, tc   :   gSA
                                                                                                 2


                                                                     mÙkj
                                      b
                                        cosec θ                                8               	  8

                                      a
                                           8 J


                                Lo&ewY;kadu

                                2- cgqfodYih; iz'u  )    "   7/        
   
 µ

                                     ;fn   vkSj   osQ chp dksbZ ,slk lehdj.k fn;k gks ftls rqjar   osQ fy, gy ugha fd;k tk losQ] rks
                                        dks   dk dkSu&lk iQyu dgsaxs\
                                        
  vLi"V               Li"V                lekarj        
  laxr

                                      ;fn   dk eku   osQ :i esa Kkr fd;k tk losQ] rks   dks   dk dkSu&lk iQyu dgsaxs\
                                        
  vLi"V               Li"V                lekarj        
  laxr
                                          :   dk eku gksxkµ

                                            x                  x                    y               y
                                        
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                                             y                 y                    x              x
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