if z1 z2 Z3 are in arithmetical progressions then they are lies on
Rahul kumar , 5 Years ago
Grade 12th pass
Electrostatics> if z1 z2 Z3 are in arithmetical progressi...
1 AnswersVikas TU
Last Activity: 5 Years ago
Dear student
If we consider the complex numbers z1, z2 and z3 to be the points corresponding to A,B and C, then
Since z1, z2 and z3 are gievn to be in A.P., hence by definition we have,
2z2 = z1 + z3
Hence, this means z2 = (z1 + z3) / 2
This means that B is the mid point of line AC.
We can say that A, B and C are collinear.
This means that the points z1, z2 and z3 lie on a line.
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