[" For any liwe nen tere complex numbers "z" ,and "],[z_(3)" if "z,z_(4),+z,z_(2)=0" ,then amp "(z_(1))=arctg(z_(2))]

For any two non zero complex numbers z_(1) and z_(2) if z_(1)bar(z)_(2)+z_(2)bar(z)_(1)=0 then amp(z_(1))-amp(z_(2)) is

If z_(1)and z_(2) be any two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then prove that, arg z_(1)=arg z_(2) .

If z_(1),z_(2) and z_(3) are three distinct complex numbers such that |z_(1)| = 1, |z_(2)| = 2, |z_(3)| = 4, arg(z_(2)) = arg(z_(1)) - pi, arg(z_(3)) = arg(z_(1)) + pi//2 , then z_(2)z_(3) is equal to

If two complex numbers z_(1) and z_(2) are such that |z_(1)|=|z_(2)| , is it then necessary that z_(1)=z_(2) ?

Consider z_(1)andz_(2) are two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| Statement -1 amp (z_(1))-amp(z_(2))=0 Statement -2 The complex numbers z_(1) and z_(2) are collinear.

Consider z_(1)andz_(2) are two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| Statement -1 amp (z_(1))-amp(z_(2))=0 Statement -2 The complex numbers z_(1) and z_(2) are collinear. Check for the above statements.

Consider z_(1)andz_(2) are two complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| Statement -1 amp (z_(1))-amp(z_(2))=0 Statement -2 The complex numbers z_(1) and z_(2) are collinear. Check for the above statements.

For any two complex numbers z_(1) and z_(2) |z_(1)+z_(2)|^(2) =(|z_(1)|^(2)+|z_(2)|^(2))