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JEE Main 2017 Mathematics question

MathematicsComplex NumbersJEE Main 2017

Let be a complex number such that where . If

= 3k,

then can be equal to:

Answer: (1)

Solution

From we get , which is a **primitive cube root of unity**. Hence and . Simplify the entries: , and (from ). The determinant

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Question ID VK-115735