question_answer

A ray with the starting point at the origin in the complex plane passes through the point\[\left( 2+2i \right)\]. Another ray with the same starting point passes through the point \[(2-2\sqrt{3}i).\]The angle formed by these two

A) \[105{}^\circ \]

B)                    \[90{}^\circ \]

C) \[75{}^\circ \]          

D)                                    \[45{}^\circ \]

Correct Answer: A

Solution :

                Obviously angle between the two rays \[=\alpha +\beta \] \[=45{}^\circ +60{}^\circ \]                 \[=105{}^\circ \]