If three complex numbers are in A.P., then they lie on
A circle in the complex plane
A straight line in the complex plane
A parabola in the complex plane
None of these
The correct option is B A straight line in the complex plane
Let z1,z2,z3 be three complex numbers in A.P. Then 2z2=z1+z3. Thus the complex number z2 is the mid point of the line joining the points zi and z3 So the three points z1,z2 and z3 are in a straight line.