Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

4 of 46 · show all

1. Q32 2011 Paper 1

   Let $\alpha$ and $\beta$ be the roots of $x^2-6x-2=0$, with $\alpha>\beta$. If $a_n=\alpha^n-\beta^n$ for…

   Try it →
2. Q33 2011 Paper 1

   If $z$ is any complex number satisfying $|z - 3 - 2i| \le 2$, then the minimum value of $|2z - 6 + 5i|$ is

   Try it →
3. 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 →
4. Q35 2011 Paper 2

   The number of distinct real roots of $x^4-4x^3+12x^2+x-1=0$ is

   Try it →