If `z_1 and z_2` are complex numbers such that `|z_1-z_2|=|z_1+z_2|` and A and B re the points r...

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|z_1*z_2|=|z_1|*|z_2| [Algebraic Proof, Further Pure Mathematics - Complex Numbers] |z_1*z_2|=|z_1|*|z_2| [Algebraic Proof, Further Pure Mathematics - Complex Numbers]
For any two complex numbers z_1 and z_2, prove that Re(z_1, z_2 )=Re z_1 Re z_2-Im z_1 Im z_2 For any two complex numbers z_1 and z_2, prove that Re(z_1, z_2 )=Re z_1 Re z_2-Im z_1 Im z_2
For any two complex numbers z1 and z2, prove that Re (z1z2) = Re z1 Re z2 – Im z1 Im z2 For any two complex numbers z1 and z2, prove that Re (z1z2) = Re z1 Re z2 – Im z1 Im z2
If z_1 and z_2 be any two complex numbers such that |z_1+z_2 |=|z_1 |+|z_2 |, then argγ€– zγ€—_1-arg If z_1 and z_2 be any two complex numbers such that |z_1+z_2 |=|z_1 |+|z_2 |, then argγ€– zγ€—_1-arg
If z1, z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1|, and ar.... If z1, z2 are complex numbers such that Re(z1) = |z1 – 1|, Re(z2) = |z2 – 1|, and ar....
If `z_1=2-i ,z_2=1+i ,` find `|(z_1+z_2+1)/(z_1-z_2+i)|`... If `z_1=2-i ,z_2=1+i ,` find `|(z_1+z_2+1)/(z_1-z_2+i)|`...
For two unimodular complex numbers `z_1 and z_2`, then `[(bar z_1,-z_2),(bar z_2,z_1)]^-1[(z_... For two unimodular complex numbers `z_1 and z_2`, then `[(bar z_1,-z_2),(bar z_2,z_1)]^-1[(z_...
For any two complex number z1 and z2 prove that Re(z1z2)=Re z1 Re z2 - I m2 Im z2 For any two complex number z1 and z2 prove that Re(z1z2)=Re z1 Re z2 - I m2 Im z2