If `z_1 &z_2` are two complex numbers & if arg` (z_1+z_2)/(z_1-z_2)=pi/2` but `|z_1+z_2|!=|z_1-z_2|` then the figure formed by the points represented by `0,z_1,z_2&z_1+z_2` is:

If z_(1)&z_(2) are two complex numbers & if arg (z_(1)+z_(2))/(z_(1)-z_(2))=(pi)/(2) but |z_(1)+z_(2)|!=|z_(1)-z_(2)| then the figure formed by the points represented by 0,z_(1),z_(2)&z_(1)+z_(2) is:

If z_1,z_2 are two complex numbers such that Im(z_1+z_2)=0,Im(z_1z_2)=0 , then:

If z_1 and z_2 (ne 0) are two complex numbers, prove that : |z_1 z_2|= |z_1||z_2| .

If z_1 and z_2 are any complex numbers, then abs(z_1+z_2)^2+abs(z_1-z_2)^2 is equal to

If z_1 , and z_2 be two complex numbers prove that |z_1+z_2|^2+|z_1-z_2|^2=2[|z_1|^2+|z_2|^2]

If z_1 and z_2 are two complex numbers such that |\z_1|=|\z_2|+|z_1-z_2| show that Im (z_1/z_2)=0

If z_1, z_2 are two complex numbers satisfying the equation |(z_1 +z_2)/(z_1 -z_2)|=1 , then z_1/z_2 is a number which is :