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Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

4 of 46 · show all

  1. Q5 2024 Paper 1
    Let $f(x) = x^4 + ax^3 + bx^2 + c$ be a polynomial with real coefficients such that $f(1) = -9$. Suppose that…
  2. Q8 2022 Paper 1
    Let $z$ be a complex number with non-zero imaginary part. If…
  3. Q9 2022 Paper 1
    Let $\bar z$ denote the complex conjugate of a complex number $z$ and let $i=\sqrt{-1}$. In the set of…
  4. Q16 2020 Paper 2
    For a complex number $z$, let Re($z$) denote the real part of $z$. Let $S$ be the set of all complex numbers…