If the complex numbers and the origin form an equilateral triangle, then is equal to |
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a) |
b) |
c) |
d) |
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If the complex numbers and the origin form an equilateral triangle, then is equal to |
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a) |
b) |
c) |
d) |
| |

1 Answer

127 votes

**(a)**

Let be the sides of an equilateral and let represent the complex numbers respectively

From the equilateral ,

and

Also, , since triangle is equilateral. Thus, the complex numbers and have same modulus and same argument, which implies that the numbers are equal, that is

From the equilateral

127 votes

127