Page 203 - Math Grade 12 (Advance)
P. 203

PROEUS DARA


              n.  (10,  3,  --2),  x=4t-2,  y=  3, z=   t+l

              2.  (4,  I,  -2)  ,  X  = 2t + 2  ,  y  =  2t  ,  z = t- 3  '1
           12.  nbtH'i'i:32Stlln  OABC  mb  E  dlGMUnruTlbliCS'idb  [AB]  ,  F  sb  P  tUnnb  [OC]
               ..   1  1                         1    01    lJ                       ..
                1                                             1                      1
              ""                    FO    2  ....   PO   1   o   o
              sb  [OAJ  m'i:3~rnm'l'li- =- sb- =- '1  mm8tirt.nti  Q  tsitnhob  [BCJ  run
                                 U  FC    I     OA    2            1           l.J
              --7   --7    ..,                  0    ,   "                       1
             BQ  =  tBC  '1  m  [PQ]  't3Hd~  [EF]  nrt.flnnq~ t  '1
           13.  2'li'i:fHn  4  Grt.nfHti'ibFil  0,  A,  B  sb  c  @stsinb'U~tn'i:3115  ttlirucrss~n  s  sb  I
                             1   u   ct                     ct   6\1   w       tJ
                                                             1
             tltC1mrun2M  O<s< 1  sb  O<t< 1  '1  mb  M  sb  N  dlGMunrunrulsnb&i  [OA]
                 "'-"   s   s                                         1    01      n
              Sb  [BC]  tQb~fflb P  Sb  Q  dlGllijtitr:lblittinH~&i  [AB]  sb  [OC]  :nbQbffl'i:3
                                                                                    1
              tirnmJu  s  trn  1  s  Sb  t  &OJ  I-t  tUb~ '1
                      --7    --7   --7   ---7           ..,       1  ....          0
              n.  115n  OR=  aOA+~OB+yOC '1  tiblmiTH'U  a+~=- Sb  p =  y  tS18UMti  R
                                                 l1l  ""          2                   1



              2.  ~nruQ2rJ.Qmmci2bf3liLm~htl1:3j2J  MN  UJM~sb  PQ      ?

           14.  nbun'i:32Stlln  ABCD  tr:lbli'i:flSidbtM  I  mb  E  dlGMUttifiidb  [CD]  :nbnbffl'i:3
               ct   1  1                    LJ   .....             1     l_j           c;;
               1                              1                           1             1
             drutu]ti  I  trn  2  '1  115nGllijti  F  tsitrn0b  [AD]  ttlirumb  G  dlGlliJUUJhl~~tlb
                                                     1
             [AE]  Sb  [CF]  '1  ttfll15115n  AF+AD = I +m  tr:lru  m=tO  '1



                     ~   ":)   eJ   Ql  ~             ':1
              2.  ~nm~tS m  tr:lrntg~u~ru BG  'i:flSnt~H'liJmi:fl '1

           ?  ruunriiiqil 1

           1.  Qbu~~2Stlln OABC  tr:lrt5'i:flS0bt~sb  I  mb  M  sb  N  d1GlliJUfH1.1Jlrt5~S0b

              1                ""'     --7   17   --7   7   ....   ---7   7             1
              [AB]  Sb  [OC]  tUliJ5115n  OA  = a   OB  = b  Sb  OC  = c  '1
                 0    t   ':1        eJ   ----7  ___,.
              n.  nMnm'i:3drnl:1n.nn.ntrn  NM · NB
                         ""    1   n
                      ,....-....._..   "
              2.  IJ5n  BNM  =  8  '1  ~n61t'i:3  cos8  '1
                                      ev
           2  nbtin'i:32Stll61  OABC  tr:lrutflSidbtMSb  I  mb  P,  Q  sb  R  dlGMUttin'idb
            ...   11                       lJ   ....                          1     lJ
              1                             1                                        1
              [OA]  ,  [OB]  Sb  [OC]  :nbQbffl'i:3~rum]ti  I +2  ,  2+ I  Sb  3+ 1 tUb~ '1
                                        71
                ""      --7   7   --7     "'   ---7   7
              tUliJ5115n  OA  =  a  ,  OB  =  b  Sb  OC = c  '1


                 0    I   ':1   ...............
              2.  nMnnt~ cosRPQ  '1



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