Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

8 of 46 · show all

1. Q2 2026 Paper 2

   Let $a,\ b,\ c$ be positive integers in arithmetic progression such that the equation…

   Try it →
2. Q14 2020 Paper 1

   Suppose $a, b$ denote the distinct real roots of the quadratic polynomial $x^2+20x-2020$ and suppose $c, d$…

   Try it →
3. Q21 2017 Paper 1

   Let $a, b, x$ and $y$ be real numbers such that $a-b=1$ and $y\neq0$. If the complex number $z=x+iy$…

   Try it →
4. Q22 2017 Paper 2

   PARAGRAPH 2…

   Try it →
5. Q23 2017 Paper 2

   PARAGRAPH 2…

   Try it →
6. Q31 2012 Paper 1

   Let $z$ be a complex number such that the imaginary part of $z$ is nonzero and $a=z^2+z+1$ is real. Then $a$…

   Try it →
7. 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 →
8. 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 →