If `2z_1//3z_2` is a purely imaginary number, then find the value of `"|"(z_1-z_2")"//(z_1+z_2)|dot`

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

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

It is given that complex numbers z_1a n dz_2s a t i sfy|z_1|=22a n d|z_2|=3. If the included angled of their corresponding vectors is 60^0 , then find the value of |(z_1+z_2)/(z_1-z_2)| .

If |z_(1)+z_(2)|=|z_1|+|z_2| then

If (2z_1)/(3z_2) is purely imaginary then |(z_(1)-z_(2))/(z_(1)+z_(2))|

Find the greatest and the least value of |z_1+z_2| if z_1=24+7ia n d|z_2|=6.

If z^(2)+z+1=0 , where z is a complex number, then the value of (z+(1)/(z))^(2)+(z^(2)+(1)/(z^2))^(2)+(z^(3)+(1)/(z^3))^(2)+"……"+(z^(6)+(1)/(z^6))^(2) is

If z_1, z_2 are two complex numbers (z_1!=z_2) satisfying |z1^2-z2^2|=| z 1^2+ z 2 ^2-2( z )_1( z )_2| , then a. (z_1)/(z_2) is purely imaginary b. (z_1)/(z_2) is purely real c. |a r g z_1-a rgz_2|=pi d. |a r g z_1-a rgz_2|=pi/2