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Q.

If center of a regular hexagon is at the origin and one of the vertices on the Argand diagram is 1 + 2i, then its perimeter is

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a

25

b

62

c

45

d

65

answer is D.

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Detailed Solution

Let the vertices be z0, z1, ..., z5 w.r.t. center O at origin and z0=5. Now ΔOA2A3 is equilateral⇒ OA2=OA3=A2A3=5Perimeter=65
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