If `a` is a positive integer, `z = a +2i` and `z|z| - az +1=0` then

If a gt 0 and z|z| + az + 3i = 0 , then z is

If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1.)

If n is a positive integer, prove that |I m(z^n)|lt=n|I m(z)||z|^(n-1.)

If n is a positive integer, prove that |I m(z^n)|lt=n|Im(z)||z|^(n-1.)

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

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

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

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

If a=3+i and z=2-3i then the points az , 3az and -az are:

For positive integers y and z, if z^(2)=y^(3) and y^(2)=16 ,what is the value of (y)/(z) ?