Published by:
CGP EDU Academic Team
Published on: August 14, 2026
A function ' f ' is defined by 
for all complex number z , where 
and 
are complex numbers if 
and 
are both real and the smallest possible values of 
is 
then determine 
Text Solution
Verified by ExpertsThe correct answer is:
2
(2)
Sol. lies 
hence 
from (1) & (2) 
hence there is no restriction of ' 
' let 
with equality
hence 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The locus of the points representing the complex numbers z for which |z| – 2 = 0, |z – i| – |z + 5i…
If , then-
If and , then is equal to
Show that the equation Z 4 + 2Z 3 + 3Z 2 + 4Z + 5 = 0 has no root which is either purely real or pu…
Consider the locus of the complex number in the Argand plane is given by 2 i. Let and be two co…
Find the mirror image of the curve about the line .