If |z- 4z |=2, then the maximum value of |z| is equal to:

Correct answer: A. (a) ((z- 4z)- 4 |z |) (z- 4z+ 4z) (z- 4z)+ 4 |z | |z | 2+ 4 |z | r 2+ 4r r^2-2r-4 0 0 r 5+1

JEE Previous Year Question

$If z - \frac{4}{z} = 2, then the maximum value of ∣ z ∣ is equal to:$

Topic: JEE PYQ

Answer: A. Full step-by-step solution below.

Correct answer: A

(a) ((z - \frac{4}{z}) - \frac{4}{| z |}) \leq (z - \frac{4}{z} + \frac{4}{z}) \leq (z - \frac{4}{z}) + \frac{4}{| z |} | z | \leq 2 + \frac{4}{| z |} r \leq 2 + \frac{4}{r} r^{2} - 2 r - 4 \leq 0 0 \leq r \leq 5 + 1