JEE Main 2024 Mathematics question
Let α and β be the sum and the product of all the non-zero solutions of the equation , z ∈ C. Then 4(α² + β²) is equal to:
Answer: (B)
Solution
In polar form r² + r = 0 ⇒ r = 1 and = −1, so the non-zero solutions are i and −i: α = 0 and β = 1, giving 4.