, Show That z1, z2, z3 are The Vertices Of An Equilateral Triangle Inscribed In A Unit Circle.

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Question

, show that z₁, z₂, z₃ are the vertices of an equilateral triangle inscribed in a unit circle.

diffcult

Solution

Correct option is

60^o

, the origin is the circumcentre of the triangle and circum-radius is 1. Hence by rotating in anti-clockwise direction about O,

Squaring and adding, 2 + 2 cos 2B = 1

Putting in (i), we get

.

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SIMILAR QUESTIONS

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