Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

3 of 46 · show all

1. Q44 2007 Paper 1

   Let $\alpha$, $\beta$ be the roots of the equation $x^2 - px + r = 0$ and $\dfrac{\alpha}{2}$, $2\beta$ be…

   Try it →
2. Q45 2007 Paper 1

   A man walks a distance of 3 units from the origin towards the north-east ($N\,45^\circ E$) direction. From…

   Try it →
3. Q46 2007 Paper 2

   If $|z| = 1$ and $z \neq \pm 1$, then all the values of $\dfrac{z}{1-z^2}$ lie on

   Try it →