Question

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

Answer 1

I z1 I =10 is a circle having radius 10 and center at (0,0) and other circle having radius 5 and center at(-3,-4)

Answer 2

I mean z2 lies on other circle...

Answer 3

Ok.!

Answer 4

and draw these two circles on xy plane...

Answer 5

then you will get the feeling of Iz1- z2I

Answer 6

Iz1- z2| = Distance b/w to complex numbers

Answer 7

yes between z1 and z2 and z1 and z2 lies on two different circles

Answer 8

some hint...2nd circle will pass through the origin and both circle will touch at(-6,-8) and 2nd circle will lie within 1st circle

Answer 9

Why...it touches at(-6,-8)

Answer 10

solve two circles and check..

Answer 11

where they are intersecting or touching?

Answer 12

or do one thing (-6,-8) lies on both the circles...and write down the equation of tangent for both circles at (-6,-8)...do u get the same tangent equation?