Page 201 - Math Grade 12 (Advance)
P. 201

PROEUS DARA
               c  u'\;flli5~t1t!Grup:;  P(xl,  Yt·  Zt)  sb  Q(xz,  Yz·  Zz)  r;siQbnhn~
                                                                  I
                                 2         2        2
                    d  =   J  (xz-Xl)  +(yz-Yt)  +(z2-zl)  '1
                                                                          2        2   2
               0   nri:hm~tir::htSf~~Si C(x ,  y ,  z )  nl  r  ~ :(x-x /+(y-y ) +(z-z ) = r  '1
                                                               0
                                        0
                                            0
                                               0
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                  ""     rrl"  "-   2   2   2                               2   2   2   2
               0   hl'i:Hil~~tl:f'ItSt~:  x  +y  +z  -2x x-2y y-2z z+k = 0,  k  = x +y +z -r  '1
                                                0
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                u'i:flrurhhWlu  Q  t94'i5ti  a  ttlrunMu  Q  {5sr:sinb'i5ti  a  RM~r:r::hru
              0
                  <:I     1         6\.1            1           c;   G\.1
                                                                I
                 D  = IP"Q.hl  'i5  D  = jaxo+byo+czo+dl  ttlru  p  mriMutsinb'Uti  sb  h  m
                         7
                        1 n  1   "'-    J 2   2   2                  I    "'  1   611
                                         a+b+c
                 1u9~M~ihrt.Hstiti '1
                  I             GV
                u'\;f1rutitillilu  Q  t94'i5~~  L  gt~nhnfiM~tr::hru D  = 11~~~1 ttlru ~ m1u9~
              0
                LOlli9tutSti~~  L  sb  p  mtirt!lutsinliti~~  L  '1
            ?  rurnui
             ..
            1.  ~ n tu~m~m'hf~Si st~ tu~ m1~ds'U ~~ttl rum~ m13ti rt!lu  r:t.ll ruLtu'i5st~1u9~Lmli9 tu
                                         1
                              7
               n.  A(O,  0,  0)  '  u  = (1,  2,  3)
                            , ~ = ( -2,  ~· 1)
               ;;3,  B(O,  0,  0)

                               7     7   7   7
               ?'i.  C(-2,  0,  3)  '  u  = (2i+4j-2k)
                                7    7   7
              ill.  D(-2,  0,  3)  ,  u  = 6i + 3j

              b.  P(l,  0,  1),  x=3+3t,  y=5-2t,  z=-7+t

              ti  Q(-3,  5,  4)  ,  x-l =  +l  = z-3  '1
           2  ~nhl~ffl~fu'ht~Si Sb hl~ffl~ti8 ttl bl5ffl~ffl13tl~nMu21b tUffl13
            '                           GV                  1
                                   2  2  I)
               n.  A(5,  -3,  2)  ,  B  - , l'  1
                                 (
                                   3
               ;;3.  P(l,  0,  1)  ,  Q(l,  3,  -2)  '1



               n.  m~m13tirt!lu A(2,  3,  4)  tt.ll ruuom94sb~ti  xoz  Sb~ti  yoz  '1

              2.  m~m13ti Mu  P(2,  3,  4)  tt.ll rufnb r;94sb'i5ti  3x + 2y- z  = 6  '1
                            1                            611







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