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JEE Advanced Mathematics question

MathematicsComplex NumbersJEE Advanced

, where is nonreal, can be the angle of a triangle if

Answer: (B)

Solution

Let ( since is nonreal). Then

= = y - (x-1) i .

For of it to be a real angle, it must be real, so , i.e. . Then the expression is , which needs . - (a) : is undefined, so (a) is

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Question ID VK-108045