Home
Class 12
MATHS
If z=x+iy and omega=(1-iz)/(z-i), then |...

If `z=x+iy` and `omega=(1-iz)/(z-i)`, then `|omega|=1` implies that in the complex plane

A

z lies on the imaginary axis

B

z lies on the real axis

C

z lies on the axis

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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 z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex plane (A)z lies on imaginary axis (B) z lies on real axis (C)z lies on unit circle (D) None of these

If z is a complex number satisfying the equation |z-(1+i)|^(2)=2 and omega=(2)/(z), then the locus traced by omega' in the complex plane is

If z=x+iy and w=(1-iz)/(z-i), show that |w|=1o+_(z) is purely real.

Let omega=[(z-i)/(1+iz)]^(n),n in1, then | omega|=1 all :

If omega = z//[z-(1//3)i] and |omega| = 1 , then find the locus of z.

If z=x+iy and w=(1-iz)/(z-i), then show that |w|1hat boldsymbol varphi_(z) is purely real.