Q.

If three complex numbers are in A.P. then they lie on

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a

a straight line

b

a circle

c

a parabola

d

None

answer is A.

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Detailed Solution

Let z1, z2, and z3be three complex numbers which are in A.P. ⇒z1+z3=2z2 ⇒z1+z32=z2According to section formula, z2 is the midpoint of the line segment joining z1 and z3
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If three complex numbers are in A.P. then they lie on