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Grade: 12th pass
        
if z1 z2 Z3 are in arithmetical progressions then they are lies on
 
one month ago

Answers : (1)

Vikas TU
9205 Points
							
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.
one month ago
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