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if z1 z2 Z3 are in arithmetical progressions then they are lies on

if z1 z2 Z3 are in arithmetical progressions then they are lies on
 

Grade:12th pass

1 Answers

Vikas TU
14149 Points
2 years ago
Dear student 
 
If we consider the complex numbers z1, z2 and zto be the points corresponding to A,B and C, then
Since z1, z2 and zare gievn to be in A.P., hence by definition we have,
2z2 = z+ z3
Hence, this means z2 = (z+ 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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