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

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

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## Question

### Solution

Correct option is

60o

, 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

Q1

Find all the values of the given root:

Q2

are the n, nth roots of unity,

Q3

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Q4

, then find the equation whose roots are p and q.

Q5

Find the roots of the equation , whose real part is negative.

Q6

Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form

Q8
Q9

For all complex numbers z1z2 satisfying , the minimum value of

Q10

The complex numbers z1, z2 and z3 satisfying  are the vertices of a triangle which is