Home
Class 12
MATHS
Let z and w be non - zero complex number...

Let z and w be non - zero complex numbers such that `zw=|z^(2)|` and `|z-barz|+|w+barw|=4.` If w varies, then the perimeter of the locus of z is

A

rectangle

B

square

C

rhombus

D

trapezium

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 7|1 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 8|1 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 5|1 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

Let z and w be two complex numbers such that |Z|<=1,|w|<=1 and |z+iw|=|z-ibar(w)|=2

If omega is any complex number such that z omega=|z|^(2) and |z-barz|+|omega+baromega|=4 , then as omega varies, then the area bounded by the locus of z is

Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

Let z and w be two non-zero complex number such that |z|=|w| and arg (z)+arg(w)=pi then z equals.w(b)-w (c) w(d)-w

If omega is any complex number such that z omega = |z|^2 and |z - barz| + |omega + bar(omega)| = 4 then as omega varies, then the area bounded by the locus of z is

Let zandw be two nonzero complex numbers such that |z|=|w| andarg (z)+arg(w)=pi Then prove that z=-bar(w) .

If z and w are two non - zero complex numbers such that |zw|=1 and arg(z)-arg(w)=(pi)/(2), then the value of 5ibarzw is equal to