JEE Advanced Complex Numbers and Quadratic Equations questions
4 Mathematics questions on Complex Numbers and Quadratic Equations as asked in JEE Advanced, newest first.
- Let f(x) = x^4 + ax^3 + bx^2 + c be a polynomial with real coefficients such that f(1) = -9. Suppose that i√(3) is a root of the equation 4x^3 + 3ax^2 + 2bx = 0, where i = √(-1). If α_1, α_2, α_3, and α_4 are all the…
2024
- Let A = \(1967 + 1686isinθ)/(7 - 3icosθ) : θ ∈ R \. If A contains exactly one positive integer n, then the value of n is
2023
- Let A_1, A_2, A_3, …, A_8 be the vertices of a regular octagon that lie on a circle of radius 2. Let P be a point on the circle and let PA_i denote the distance between the points P and A_i for i = 1, 2, …, 8. If P…
2023
- Let z be a complex number satisfying |z|^3+2z^2+4z-8=0, where z denotes the complex conjugate of z. Let the imaginary part of z be nonzero. Match each entry in List-I to the correct entries in List-II. List-I (P) |z|^2…
2023
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