If z = 1/2 (sqrt(3) - i) and the least p...

If `z = 1/2 (sqrt(3) - i)` and the least positive integral value of n such that `(z^(101) -i^(109))^(106) = z^(n)` is k, then the value of `2/5 k` is equal to

Verified by Experts

The correct Answer is:

10

Similar Questions

Explore conceptually related problems

If z=(1)/(2)(sqrt(3)-i) , then the least possible integral value of m such that (z^(101)+i^(109))^(106)=z^(m+1) is

Let z=(sqrt(3)/2)-(i/2) Then the smallest positive integer n such that (z^(95)+i^(67))^(94)=z^(n) is

Let z=(sqrt3/2)-(i/2) then the smallest positive integer n such that (z^(95)+i^(67))^(94)=z^n is

If z = (-2)/(1 + sqrt(3i)) , then the value of age z is

The least positive value of n forwhich [(i(i+sqrt(3)))/(1-i^(2))]^(n) is a positive integer is

A complex number z with (Im)(z)=4 and a positive integer n be such that z/(z+n)=4i , then the value of n, is

The least possible integral value of k for which |z-1-i|+|z+i|=k represents an ellipse is

If |z-2+2i|=1 then the least value of |Z|