Home
Class 11
MATHS
The complex number z which satisfies the...

The complex number z which satisfies the condition`|frac{i+z}{i-z}|` = 1 lies on.

A

circle `x^2` + `y^2`=1

B

the X - axis

C

the Y-axis

D

the line x + y = 1

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the complex numbers z, satisfying the condition arg( frac{z-1}{z+1} ) = ( pi )/4 lies on a circle

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

The complex number frac{1+2i}{1-i} lies in the

The complex number z satisfying the equation abs(frac{z-12}{z-8i})=frac{5}{3}, abs(frac{z-4}{z-8}) = 1

The modulus of the complex number z such that abs(z+3-i) = 1 and argz = pi is equal to

Select and write the correct answer from the given alternatives in each of the following: If z is a complex number satisfying the relation |z + 1| = z + 2(1 +i), then z is

If z is a complex number, then which of the followinf is not true?

Let z be any complex number such that the imaginary part of z is non zero and a = z^2+z+1 is real. Then a cannot take thevalue

The conjugate of the complex number z is frac{1}{i-1} then z=

Select and write the correct answer from the given alternatives in each of the following: Non real complex numbers z satisfying the equation z^3 + 2z^2 +3z + 2 = 0