Determine the length and the midpoint of
     the line which connects the given points :
  
    
     1.1  A(2 ; 3) and B(6 ; 11)            [ A 1.1 ]
    
     1.2  C(3 ; 11) and D(6 ; 2)            [ A 1.2 ]
    
     1.3  K(−8 ; -5) and L(-3 ; 3)           [ A 1.3 ]
    
     1.4  P(-10 ; -2) and Q(-6 ; -8)       [ A 1.4 ]
    
     1.5  R(-7 ; -2) and S(-1 ; 6)           [ A 1.5 ]
    
     1.6  A(-6 ; -8) and B(3 ; 3)           [ A 1.6 ]

     Determine the coordinates of the points
     if the length of the line is given :
  
    
     2.1  D(-7 ; -11); E(e ; -19) and the
            length = √80                        [ A 2.1 ]
    
     2.2  F(3 ; 8); G(8 ; g) and the
            length = √41                        [ A 2.2 ]
    
     2.3  K(k ; 6); L(10 ; -4) and the
            length = 11,662                 [ A 2.3 ]
    
     2.4  P(-7 ; p); Q(-2 ; -2) and the
            length = 7,81                     [ A 2.4 ]
    
     2.5  R(-6 ; r); S(-3 ; 5) and the
            length = &radic18            [ A 2.5 ]
    
     2.6  A(8 ; 10); B(b ; 8) and the
            length = √13                    [ A 2.6 ]

     Determine the unknown coordinates of
     the points if the midpoints are given :
    
  
    
     3.1  A(−4 ; −7); B(p ; q) and the
            midpoint is (−1; −2)           [ A 3.1 ]
    
     3.2  C(p ; q); D(−1 ; −21) and the midpoint
            is (−5; −17)                                  [ A 3.2 ]
    
     3.3  E(p ; q); F(8 ; 14) and the midpoint
            is (5 ; 10)                                  [ A 3.3 ]
    
     3.4  K(3 ; 5); L(p ; q) and the midpoint
            is (5,5 ; 7,5)                              [ A 3.4 ]
    
     3.5  R(−10 ; −8); S(p ; q) and the midpoint
            is (−7,5 ; −4,5)                            [ A 3.5 ]
    
     3.6  A(p ; q); B(3 ; 5) and the midpoint
            is (−1; 1)                                    [ A 3.6 ]
    
     3.7  C(p ; 8); D(7 ; q) and the midpoint
            is (2 ; 10)                                  [ A 3.7 ]
    
     3.8  E(−7 ; q); B(p ; −4) and the midpoint
            is (−1; 2)                                    [ A 3.8 ]

         The given points are the starting
         and endpoints of a line.
         The line is now produced its own
         length to the third point.
         Determine the coordinates of this
         point :
    
         4.1  A(2 ; 3); B(6 ; 8) and AB is
                produced to C(p ; q)                [ A 4.1 ]
    
         4.2  D(−8 ; 12); E(−5 ; 7) and DE is
                produced to F(p ; q)               [ A 4.2 ]
    
         4.3  K(6 ; 9); L(−1 ; 1) and KL is
                produced to M(p ; q)             [ A 4.3 ]
    
         4.4  P(−10 ; −2); Q(−3 ; −8) and PQ is
                produced to R(a ; b)    [ A 4.4 ]