Home
Class 12
MATHS
If (z-1)/(z-i) is purely imaginary then ...

If `(z-1)/(z-i)` is purely imaginary then find the minimum value of `abs(z-(3+3i))`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

If w=(z+4i)/(z+2i) is purely imaginary then find |z+3i|.

if the number (z-2)/(z+2) is purely imaginary then find the value of |z|

If the number (z-1)/(z+1) is purely imaginary, then

If z=(3+7i)(lambda+imu)," when " lambda,mu in I-{0} " and " i=sqrt(-1) , is purely imaginary then minimum value of abs(z)^(2) is

If 2z_(1)/3z_(2) is a purely imaginary number,then find the value of |(z_(1)-z_(2))/(z_(1)+z_(2))|

If the ratio (1-z)/(1+z) is purely imaginary, then

If (z-1)/(z+1) is a purely imaginary number (z ne - 1) , then find the value of |z| .

If (z+i)/(z+2i) is purely real then find the locus of z

If z = (3+ 7i) (a +ib) where a, b in in Z- {0} , is purely imaginary , then the minimum value of |z| is