Question

A point ' $z$ ' moves on the curve $|z-4-3i|=2$ in an argand plane. The maximum and minimum values of $|z|$ are -

• A. 2, 1
• B. 6,5
• C. 4,3
• D. 7,3

Answer 1

Answer: (D)

$|z-4-3i|=2$ represents a circle with centre $(4,3)$ and radius 2.
so minimum and maximum distances from origin will be
$OP-r$ and $OP+r$ respectively.
$|z{|}_{\min }=5-2=3$
$|z{|}_{\max }=5+2=7$