Maxima and MinimaHard
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 area of the rectangle with given perimeter will be maximum when the ration of its two sides is -...The set of value (s) of ′a′ for which the function f(x) = + ( a + 2)x2 + (a - 1) x + 2 possess a negative po...In the interval (− 2, 2), the minimum value of x3 − 3x + 4 is -...The greatest value of x3 - 18x2 + 96x in the interval (0 , 9) is-...An isosceles triangle with vertical angle 2θ is inscribed in a circle of radius a. The area of the triangle will be...