The inequality abs(z-4) lt abs(z-2) repr...

The inequality `abs(z-4) lt abs(z-2)` represents the region given by

A

` Re(z) gt 0`

B

`Re(z) lt 0`

C

`Re(z) gt 2`

D

`Re(z) gt 3`

Verified by Experts

Similar Questions

Explore conceptually related problems

If abs(z) = max{abs(z-2),abs(z+2)} , then

If z is a complex number in the argand plane then the equation abs(z-2)+abs(z+2) = 8 represents

If frac{abs(z-2)}{abs(z-3)} = 2 represents a circle, then its radius is equal to

Solve the equation abs(z) = z+1+2i

If abs(z^2-1) =(abs(z))^2+1 , then z lies on

The values of z for which abs(z+i)=abs(z-i) are

Show that abs(frac{z-2}{z-3}) =2, represents a circle find its centre and radius

If z=x+iy then abs(frac{z-1}{z+1}) =1 represents

The maximum value of abs(z) when z satisfies the condition abs(z-frac{2}{z}) = 2

If z is any complex number such that abs(z+4) le 3 , then the greatest value of abs(z+1) is