Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

9 of 46 · show all

1. Q3 2025 Paper 1

   Let $\mathbb{R}$ denote the set of all real numbers. Let $z_1 = 1+2i$ and $z_2 = 3i$ be two complex numbers…

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2. Q17 2019 Paper 1

   Let $S$ be the set of all complex numbers $z$ satisfying $|z-2+i| \ge \sqrt{5}$. If the complex number $z_0$…

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3. Q20 2018 Paper 2

   Let $s,t,r$ be non-zero complex numbers and $L$ be the set of solutions $z=x+iy$ ($x,y\in\mathbb{R}$…

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4. Q24 2016 Paper 2

   Let $a,b\in\mathbb{R}$ and $a^2+b^2\neq0$. Suppose…

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5. Q28 2013 Paper 2

   Let $w = \frac{\sqrt{3}+i}{2}$ and $P = \{w^n : n = 1, 2, 3, \ldots\}$. Further…

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6. Q29 2013 Paper 2

   Paragraph for Questions 49 and 50…

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7. Q30 2013 Paper 2

   Paragraph for Questions 49 and 50…

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8. Q36 2010 Paper 1

   Let $z_1$ and $z_2$ be two distinct complex numbers and let $z = (1-t)z_1 + tz_2$ for some real number $t$…

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9. Q46 2007 Paper 2

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

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