A ray with the starting point at the origin in the complex plane passes through the point (2+2 i ). Another ray with the same starting point passes through the point (2-2 √3 i). The angle formed by these two rays is

Question

A ray with the starting point at the origin in the complex plane passes through the point (2+2 i ). Another ray with the same starting point passes through the point (2-2 √3 i). The angle formed by these two rays is (A) 105° (B) 90° (C) 75° (D) 45°

Tardigrade Admin · Accepted Answer

Obviously angle between the two rays =α+β <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/b5a7036944ce7c9898f01388d81851ce-.png" /> =45°+60°=105°

Q. A ray with the starting point at the origin in the complex plane passes through the point $(2 + 2 i)$ . Another ray with the same starting point passes through the point $(2 - 23 i)$ . The angle formed by these two rays is

$10 5^{\circ}$

$9 0^{\circ}$

$7 5^{\circ}$

$4 5^{\circ}$

Obviously angle between the two rays $= α + β$

$= 4 5^{\circ} + 6 0^{\circ} = 10 5^{\circ}$

Q. A ray with the starting point at the origin in the complex plane passes through the point (2+2i). Another ray with the same starting point passes through the point (2−23​i). The angle formed by these two rays is

105∘

90∘

75∘

45∘