Suppose is a cube root of unity with 1 Suppose P and Q are the points on the complex ...........

Mathematics (NDA) Coordinate Geometry

Suppose, $\omega$ is a cube root of unity with $\omega$ $\neq$ 1. Suppose, P and Q are the points on the complex plane defined by $\omega$ and $\omega$ ² . If O is the origin, then what is the angle between OP and OQ?

60^o

90^o

120^o

150^o

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Explanation:

We know that, nth roots of unity represent vertex of a regular polygon in argand plane.
$\therefore$ $\omega$ and $\omega$ ² represent the vertex of an equilateral triangle.
$\therefore$ Required angle = 60°