Home
Class 11
MATHS
For all complex numbers z1, z2 satisfyin...

For all complex numbers `z_1, z_2` satisfying `abs(z) = 12` and `abs(z_2-3-4i) = 5`, the minimum value of `abs(z_1-z_2)` is

A

0

B

2

C

7

D

17

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If z=x+iy and abs(z - zi) = 1, then,

The value of abs(z-5) , if z = x+iy is

If abs(z-3+ i) = 4 then, the locus of z is

If abs(z_1)=abs(z_2)=….....=abs(z_n) = 1 then the value of abs(z_1+z_2+z_3+…....+z_n) =

For any non zero complex number z, the minimum value of abs(z)+abs(z-1) is

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

Find z, if abs(z) = 4 and arg(z)=5 pi/6

If z is a complex number, then (bar(z^-1))(bar(z)) =

If abs(z_1+z_2) = abs(z_1-z_2) , then the difference in the amplitudes of z_1 and z_2 is

If z_1 = a+ib and z_2 = c+id are complex numbers such that abs(z_1) = abs(z_2) = 1 and Re(z_1barz_2) = 0 , then the pair of complex numbers w_1 = a+ic and w_2 = b+id satisfies