Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

6 of 46 · show all

1. Q4 2025 Paper 2

   For a non-zero complex number $z$, let $\arg(z)$ denote the principal argument of $z$, with…

   Try it →
2. Q18 2019 Paper 1

   Let $\omega \neq 1$ be a cube root of unity. Then the minimum of the set…

   Try it →
3. Q25 2015 Paper 2

   For any integer $k$, let $\alpha_k = \cos\left(\frac{k\pi}{7}\right) + i\sin\left(\frac{k\pi}{7}\right)$…

   Try it →
4. Q26 2014 Paper 2

   Let $z_k = \cos\left(\frac{2k\pi}{10}\right) + i\sin\left(\frac{2k\pi}{10}\right)$; $k = 1,2,\dots,9$.

   Try it →
5. Q34 2011 Paper 2

   Let $\omega = e^{i\pi/3}$, and $a, b, c, x, y, z$ be non-zero complex numbers such that…

   Try it →
6. Q39 2009 Paper 1

   Let $z=\cos\theta+i\sin\theta$. Then the value of…

   Try it →