Complex Numbers and Quadratic Equations

JEE Advanced · Mathematics · 46 past questions

7 of 46 · show all

1. Q1 2026 Paper 1

   Match each entry in List-I to the correct entry in List-II and choose the correct option.

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2. Q6 2023 Paper 1

   Let $A=\left\{\frac{1967+1686i\sin\theta}{7-3i\cos\theta}:\theta\in\mathbb{R}\right\}$. If $A$ contains…

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3. Q7 2023 Paper 1

   Let $z$ be a complex number satisfying $|z|^3+2z^2+4\bar z-8=0$, where $\bar z$ denotes the complex conjugate…

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4. Q10 2022 Paper 2

   Let $\bar{z}$ denote the complex conjugate of a complex number $z$. If $z$ is a non-zero complex number for…

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5. Q12 2021 Paper 1

   For any complex number $w=c+id$, let $\arg(w)\in(-\pi,\pi]$, where $i=\sqrt{-1}$. Let $\alpha$ and $\beta$ be…

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6. Q15 2020 Paper 1

   Let $S$ be the set of all complex numbers $z$ satisfying $|z^2+z+1|=1$. Then which of the following…

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7. Q27 2013 Paper 1

   Let complex numbers $\alpha$ and $\dfrac{1}{\bar{\alpha}}$ lie on circles $(x - x_0)^2 + (y - y_0)^2 = r^2$…

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