Home
Class 12
MATHS
The modulus of the complex number z such...

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

A

1

B

2

C

9

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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 Re (z) = Im (z), then :

Write polar form of the complex number z=sqrt3+i

If (sqrt(5)+sqrt(3)i)^(33)=2^(49)z , then modulus of the complex number z is equal to a)1 b) sqrt(2) c) 2sqrt(2) d)4

Modulus of a complex number Z is 2 and arg(z)=pi/3 ,write the complex number in the form a+ib .

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)

Consider the complex number z_1 = 3+i and z_2 = 1+i .Find 1/z_2

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

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

If the conjugate of a complex number z is (1)/(i-1) , then z is