Home
Class 11
MATHS
For any non zero complex number z, the m...

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

A

1

B

`frac{1}{2}`

C

0

D

`frac{3}{2}`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If z_1 and z_2 are two non-zero complex numbers such that abs(z_1+z_2) = abs(z_1)+abs(z_2) , then arg(z_1)-arg(z_2) is equal to

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

If z_1 and z_2 are any complex numbers, then abs(z_1+z_2)^2+abs(z_1-z_2)^2 is equal to

Let z be any complex number such that the principal value of argument , arg(z)-arg(-z) is

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

The locus of the point representing the complex number z for which abs(z+3)^2-abs(z-3)^2 = 15 is

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

For any two complex numbers z_1 and z_2 and any real numbers a and b, [abs(az_1-bz_2)]^2+[abs(bz_1+az_2)]^2 =

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

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