Question bank/JEE Main/Mathematics
JEE MainMathematicsModerateComplex Numbers
2z_1 - 3z_2 -z_3 = 0 rc z_1, z_2, z_3
Show answer and solution
Rearranging, we have [IMAGE] ⇒ z_2 divides the line segment joining z1, z3 in the ratio 2: 1
internally,
If z_1, z_2, z_3 are related by
az_1 + bz_2 + cz_3 = 0, where a + b + c = 0, then z_1, z_2, z_3
will be collinear points
internally,
If z_1, z_2, z_3 are related by
az_1 + bz_2 + cz_3 = 0, where a + b + c = 0, then z_1, z_2, z_3
will be collinear points
Source: Grass-G / M-03 Paper 1 Mathematics 21-8-2020_Final.docx
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