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                  Ex: the points A(1, -4), B(3, 7) and C(-11, 9) are given in the xy-plane. In the ABC triangle, if

                  D   BC and BD     CD  then find  AD  .
















                  Ex:  Show that coordinates of the intersection point of the diagonals of a parallelogram with the
                  vertices A(x 1,y 2) , B(x 2,y 2), C(x 3,y 3) and D(x 4,y 4) are x  x  x  x    and  y  y  y  y
                                                                1   3   2   4      1   3    2   4










                  Ex: ABCD is a parallelogram with the vertices A(1,2),  B(7, 2),  C(9, 6). Find  BD .
















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