Question

The maximum value of |z1 - z2| satisfying the condition |z1| = 10 and |z2+3+4i| = 5 is?

Answer 1

this is a circle centered at -3, 4
|z2+3+4i| = 5

Answer 2

Let \(z_1=a+ib\) and \(z_2=c+id\). Then
\[ \large 10=|z_1|=\sqrt{a^2+b^2}\Rightarrow100=a^2+b^2 \]

Answer 3

|z1| = 10 <-- this is a circle centered at 0,0 with radius 10

Answer 4

what's the max??
what's the max?

Answer 5

Can we use triangle Inequality Here...on is there any easy method...

Answer 6

* -3, -4

Answer 7

It is the Diameter

Answer 8

yep

Answer 9

20....)

Answer 10

yes 20