Maxima and MinimaHard

Question

If , then the maximum value of Z is equal to

Options

A.√3 + 1
B.√5 + 1
C.2
D.2 + √2

Solution


⇒    
⇒     |Z|2 - 2|Z| - 4 ≤ 0
(|Z|-(√5 + 1))(|Z| - (1 - √5)) ≤ 0 ⇒ 1 - √5 ≤ |Z| ≤ √5 + 1

Create a free account to view solution

View Solution Free
Topic: Maxima and Minima·Practice all Maxima and Minima questions

More Maxima and Minima Questions

The coordinates of the point on the parabola y2 = 8x, which is at minimum distance from the circle x2 + (y + 6)2 =1 are ...If (x - a)2m (x - b)2n +1, where m and n are positive integers and a > b, is the derivative of a function f, then-...If f(x) = (sin2 x -1)n (2 + cos2 x) n∈N then x = is a point of :...f(x) is cubic polynomial which has local maximum at x = - 1. If f(2) = 18, f(1) = - 1 and f′(x) has local minima a...For all a, b ∈ R the function f(x) = 3x4 - 4x3 + 6x2 + ax + b has -...