Maxima and MinimaEasy
Question
If |z + 4| ≤ 3, then the maximum value of |z + 1| is
Options
A.4
B.10
C.6
D.0
Solution
From the Argand diagram maximum
value of |z + 1| is 6.
Alternative:
|z + 1| = |z + 4 - 3|
≤ |z + 4| + |- 3| = 6.
Create a free account to view solution
View Solution FreeMore Maxima and Minima Questions
The minimum value of tan x + cot x is -...The maximum value of sin x cos x is-...If the sum of the number and its square is minimum, then number is -...If for a function f(x), f′(a) = 0 = f′′(a) = .... = fn − 1(a) but fn(a) ≠ 0 then at x = a,...The maximum value of 5 cos θ + 3 cos + 3 is -...