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JEE Main 2022 Mathematics question

MathematicsComplex NumbersJEE Main 2022

Let O be the origin and A be the point . If B is the point , , such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT true?

Answer: (4)

Solution

Since OAB is right angled and isosceles at A with OB as the hypotenuse, , so = −1 + 3i. Then arg and

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Question ID VK-025165