Home
Class 11
MATHS
Let z and omega be complex numbers such ...

Let `z and omega` be complex numbers such that `bar(z)+ i bar(omega)= 0 and arg z omega= pi`. Then arg z equals

A

`(pi)/(4)`

B

`(5pi)/(4)`

C

`(3pi)/(4)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

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)

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

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 complex numbers such that z_(1) ne z_(2) and |z_(1)|= |z_(2)| . If z_(1) has positive real part and z_(2) has negative imaginary part, then ((z_(1) +z_(2)))/((z_(1)-z_(2))) may be

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

If z is a complex number with absz=2 and arg(z)=(4pi)/3 . then Find overline z

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)