complex numbers (1 Viewer)

[bubblesss]

if z= 4v +3i(1-v) and v is real

1) prove that the point P which represents z on the argand plane lies on a straight line.
2)find the least value of |v|

thanks in advanced!!!!!!!!!!

 

[Timothy.Siu]

i just did complex numbers 2 days ago, but i'll try

tan theta = (3-3v)/4v
therefore z= 4v +3i(1-v) lies on the line y = x(3-3v)/4v
dont think its right.

 

[shinn]

(i) x = 4v => v = x /4
y = 3(1 - v)
= 3(1- x/4)
= -(3/4)x + 3 which is the equation of a straight line


(ii) Use perpendicular distance formula from (0,0) to that line to find min lzl.