Home
Class 11
MATHS
If z and omega are two non-zero complex ...

If `z and omega` are two non-zero complex numbers such that `|z omega|=1 and arg(z)- arg (omega)= pi//2`, then `bar(z)omega` is equal to

A

1

B

`-1`

C

i

D

`-i`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1) + z_(2)| = |z_(1)| + |z_(2)| , then arg ((z_(1))/(z_(2))) is equal to a)0 b) -pi c) -(pi)/(2) d) (pi)/(2)

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

If z_1 and z_2 be complex numbers such that z_1 + i(bar(z_2) ) =0 and "arg" (bar(z_1) z_2 ) = (pi)/(3) . Then "arg"(bar(z_1)) is equal to a) (pi)/(3) b) pi c) (pi)/(2) d) (5pi)/(12)

If z is a complex number such that Re (z) = Im (z), then :

Let (z, w) be two non-zero complex numbers. If z +i w = 0 and arg (z w) = pi , then arg z is equal to a) pi b) (pi)/(2) c) (pi)/(4) d) (pi)/(6)

If z is a complex number such that z+ |z|=8 +12i then the value of |z^2| is

If z_(1) and z_(2) are non -zero complex numbers, then show that (z_(1) z_(2))^(-1)=z_(1)^(-1) z_(2)^(-1)

If z is a complex number with absz=2 and arg(z)=(4pi)/3 , then express z in a+ib form.