Home
Class 12
MATHS
Let zne1 be a complex number and let ome...

Let `zne1` be a complex number and let `omega=x+iy,yne0`. If `(omega-baromegaz)/(1-z)` is purely real, then `|z|` is equal to
a) `|omega|`b)`|omega|^(2)`c)`(1)/(|omega|^(2))`d)1

A

`|omega|`

B

`|omega|^(2)`

C

`(1)/(|omega|^(2))`

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let w ne pm 1 be a complex number. If |w| =1 and z = (w -1)/(w +1), then R (z) is equal to

If omega be the complex cube root of unity and matrix H=[(omega,0),(0,omega)] , then H^(70) is equal to a)0 b)-H c)H d) H^(2)

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 omega ne 1 and omega^3=1 then (a omega+b+c omega^2)/(a omega^2+b omega+c)+(a omega^2+b+c omega)/(a+b omega+ c omega^2) is equal to a)2 b) omega c) 2 omega d) 2 omega^2

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If |z| =5 and w= (z-5)/(z+5) the the Re (w) is equal to

If a, b, c are integers, no two of them being equal and omega is complex cube root of unity, then minimum value of |a+b omega| + c omega^(2)| is

Suppose z = x + iy and w = (1-iz)/(z-i) Find absw . If absw = 1, prove that z is purely real