Home
Class 12
MATHS
The complex number z satisfying |z+ z |...

The complex number `z` satisfying `|z+ z |+|z- z =|=2` and `|i z-1|+|z-1|=2` is/are `i` (b) `-1` (c) `1/i` (d) `1/(i^3)`

A

i

B

`-2i`

C

`1+i`

D

`1-i`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The complex number z satisfying |z+bar z|+|z-bar z|=2 and |iz-1|+|z-i|= 2 is/are A) i B) -i C) 1/i D) 1/(i^3)

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

If z is a complex number satisfying the relation |z+ 1|=z+2(1+i) , then z is

Find the complex number z satisfying the equation |(z-12)/(z-8i)|= (5)/(3), |(z-4)/(z-8)|=1

The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i|=3 are a. one b. two c. four d. none of these

The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i|=3 are a. one b. two c. four d. none of these

If z=x+iy is a complex number satisfying |z+i/2|^2=|z-i/2|^2 , then the locus of z is