Home
Class 12
MATHS
If the number (z-1)/(z+1) is purely imag...

If the number `(z-1)/(z+1)` is purely imaginary, then

A

`|z| gt 1`

B

` | z | lt 1 `

C

` | z| = 1 `

D

`| z| gt 2 `

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (1) (True and False)|5 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (2) (M.C.Q)|111 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

if the number (z-2)/(z+2) is purely imaginary then find the value of |z|

Prove that if the ratio (z - i)/( z - 1) is purely imaginary then the point z lies on the circle whose centre is at the point 1/2(1+i)and " radius is " 1/sqrt(2)

If z(!=-1) is a complex number such that (z-1)/(z+1) is purely imaginary,then |z| is equal to

If the ratio (1-z)/(1+z) is purely imaginary, then

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

If the ratio (1-z)/(1+z) is pyrely imaginary, then

Consider a complex number w=(z-1)/(2z+1) where z=x+iy, where x,y in R . If the complex number w is purely imaginary then locus of z is