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

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

If z_(1)" and "z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 then

If z_(1) , z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 and iz_(1)=Kz_(2) , where K in R , then the angle between z_(1)-z_(2) and z_(1)+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)|dot

If z_(1)=2-i, z_(2)=1+i , find |(z_(1)+z_(2)+1)/(z_(1)-z_(2)+1)| .

If z_(1)=3+4i" and "z_(2)=2-i , verify that |z_(1)z_(2)|=|z_(1)||z_(2)| .