Question bank/JEE Main/Mathematics

If z_1 and z_2 are non-zero complex numbers such that |z_1 -
z_2| = |z_1| + |z_2|, then

A|Arg z_1 − Arg z_2| = πBArg z_1 = Arg z_2 + π/2Cz_1 = z_2DNone of these

Show answer and solution▾

As |z_1 - z_2| = |z_1| + |z_2|
Let, [IMAGE] ∴ |z_1| = r_1, |z_2| = r_2

Source: Grass-G / M-18 Mathematics Paper 27 Nov Third.docx