Home
Class 12
MATHS
If |z-1|=1, where is a point on the arga...

If `|z-1|=1,` where is a point on the argand plane, show that`(z-2)/(z)=i tan (argz),where i=sqrt(-1).`

A

`tan(argz)`

B

`cot(argz)`

C

`itan(argz)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Given that |z-1|=1, where z is a point on the argand planne , show that (z-2)/(z)=itan (arg z), where i=sqrt(-1).

Given that,|z-1|=1, where 'z' is a point on the argand plane.(z-2)/(2z)=alpha tan(arg z) Then determine (1)/(alpha^(4))

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

Prove that z=i^(i), where i=sqrt(-1), is purely real.

If z^4= (z-1)^4 then the roots are represented in the Argand plane by the points that are

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

Find the argument s of z_(1)=5+5i,z_(2)=-4+4i,z_(3)=-3-3i and z_(4)2-2i, where i=sqrt(-1).

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

Locate the region in the argand plane for z satisfying |z+i|=|z-2|.