Page 158 - Engineering Mathematics Workbook_Final
P. 158

Complex Variables

                   (c) set of confocal hyperbolas
                   (d) set of confocal ellipses

                                       [GATE-2006-EC]                    (d)


            155.  A complex variable z = x + j(0.1) has
                   its  real  part  x  varying  in  the  range
                   − to . Which one of the following
                   is the locus (shown in thick lines) of                                    [GATE-2008 (IN)]
                    1
                       in the complex plane?                      156.  A  point  z  has  been  plotted  in  the
                    z
                                                                         complex  plane,  as  shown  in  figure
                                                                         below






                   (a)









                                                                         1
                                                                             lies in the curve
                                                                          z


                   (b)




                                                                         (a)








                   (c)



                                                                         (b)











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