Complex Numbers And Quadratic Equations question 79
Question: The minimum value of $ |2z-1|+|3z-2| $ is [RPET 1997]
Options:
A) 0
B) $ 1/2 $
C) $ 1/3 $
D) 2/3
Show Answer
Answer:
Correct Answer: C
Solution:
Given expression, $ |2z-1|+|3z-2| $ , minimum value of $ |2z-1| $ is 0 at $ z=\frac{1}{2} $ . So value of given expression $ =0+\frac{1}{2}=\frac{1}{2}, $ minimum value of $ |3z-2| $ is 0, at $ z=\frac{2}{3} $ . So value of given expression $ =\frac{1}{3}+0=\frac{1}{3} $ . So minimum value of given expression is $ \frac{1}{3} $ .
BETA
