Page 3 - PowerPoint Presentation
P. 3

EXAMPLE 1:


                                     Find the equation of a circle having its centre at (-5,-9) and


                                     radius of length 2     units.
                                                                         3




                                     Solution :


                                      method 1
                                                                                                            3
                                     Substituting -5 for h, -9 for k, and 2      for r into
                                                                                        
                                                                                         2
                                     standard equation:                    x h                   y k         2     r  2
                                                                                                      
                                                                                


                                                                                 2
                                                                                                               2
                                                                                                                   
                                                                                      y
                                                                                                                         2
                                                             x
                                     we obtain                     (      ) 5                (       ) 9     3             2
                                                                    ( x          ) 5  2    ( y          ) 9  2             ) 3 ( 4   12







                                     after expanding the equation we obtain the equation




                                                               x          y        10x           18y           94 0
                                                                              2
                                                                  2
   1   2   3   4   5   6   7   8