Home
Class 12
MATHS
All complex numers z, which satisfy the ...

All complex numers z, which satisfy the equation `|(z-i)/(z+i)|=1` lie on the

A

imaginary axis

B

real axis

C

neither of the axes

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

All complex number z which satisfy the equation |(z-6 i)/(z+6 i)|=1 lie on the

The complex number z which satisfies the Equation |(i+z)/(i-z)|=1 lies on

The complex number z , which satisfies the condition |(1+z)/(1-z)|=1 lies on

The complex plane of z=x+iy , which satisfies the equation |(z-5i)/(z+5i)|=1 , lies on

In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+4 i|=10 lie on a

If z_(1),z_(2) are two complex numbers satisfying the equation : |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then (z_(1))/(z_(2)) is a number which is

If the complex number z=x+ iy satisfies the condition |z+1|=1 , then z lies on

Let z be a complex number satisfying the equation z^(2)-(3+i)z+lambda+2i=0, whre lambdain R and suppose the equation has a real root , then find the non -real root.

The equation |z+1-i|=|z-1+i| represents a

For all complex numbers z_(1), z_(2) satisfying |z_(1)|=12 and |z_(2)-3-4 i|=5 , the minimum value of |z_(1)-z_(2)| is