Home
Class 11
MATHS
The system of equation {:(|z+1-i|=2),(Re...

The system of equation `{:(|z+1-i|=2),(Re(z) ge 1):}}`, where z
is a complex number has

A

no solution

B

exactly one solution

C

two distinct solutions

D

infinite solutions

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If |z-2|= "min" {|z-1|, |z-5|} , where z is a complex number, then

Consider the system of equations x-y+z=3,2x+y-z=2,-x-2y+2z=1. Convert this system of equations in the standard form AX=B.

Given that for any complex number z, absz^2 = zoverlinez . Prove that abs(z_1+z_2)^2 + abs(z_1-z_2)^2 = 2[abs(z_1)^2 + abs(z_2)^2] where z_1 and z_2 are any two complex numbers.

Suppose z = x + iy and w = (1-iz)/(z-i) Find 1 - iz and z - 1 in the standard form of a complex number.

Consider the following system of equations x+y+3z=5 x+3y-3z=1 -2x-4y-4z=-10 Hence solve the system of equations.

Consider the system of equations x-y+z=3,2x+y-z=2,-x-2y+2z=1. Is A invertible?

The locus z if Re (z+1)= |z-1| is

Represent the complex number z=1+i in the polar form.

Solve the system of Linear equations x+2y+z=8 , 2x+y-z=1 , x-y+z=2

Consider the following system of linear equations, x+y+z=6 , x-y+z=2 , 2x+y+z=1 Express this system of equations in the standard form AX=B