Cube roots of unity are the vertices of a/an ......... which is inscribed in a circle of unit radius, with…

Cube roots of unity are the vertices of a/an ......... which is inscribed in a circle of unit radius, with its centre at origin
  1. Right angled triangle
  2. Equilateral triangle
  3. Scalene triangle
  4. Isosceles triangle

Solution

We have, cube roots of unity $\left(1, \omega, \omega^2\right)$ are the vertices of an equilateral triangle, which is inscribed in a circle of unit radius and having centre at origin Hence, option (2) is correct.

Asked in: AP EAMCET 2020 (22 Sep Shift 2)

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