1. The problem statement, all variables and given/known data In the argand plane z lies on the line segment joining # z_1 = -3 + 5i # and # z_2 = -5 - 3i # . Find the most suitable answer from the following options . A) -3∏/4 B) ∏/4 C) 5∏/6 D) ∏/6 2. MY ATTEMPT AT THE SOLUTION We get two points ( -3 , 5 ) & ( -5 , -3 ) => The line segment must intersect x - axis and lie in the 2nd and 3rd quadrant . => #z# lies on x-axis or 2nd or 3rd qudrant . But , since there is no option ∏ , so z must be lying in 2nd or 3rd quadrant. => -3∏/4 or 5∏/6 should be the solution . I cant proceed further from here so as to differentiate between the above two choices. The answer in the book is : 5∏/6 .