Complex Numbers and Quadratic Equations

JEE Main · Mathematics · 10 past questions

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1. Q3 2026 4 Apr Shift 2

   Let $S = \{z \in \mathbb{C} : z^2 + 4z + 16 = 0\}$. Then $\sum_{z \in S} |z + \sqrt{3}\,i|^2$ is equal to…

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2. Q4 2026 4 Apr Shift 2

   If $\alpha = 1$ and $\beta = 1+i\sqrt{2}$, where $i=\sqrt{-1}$, are two roots of the equation…

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3. Q6 2026 5 Apr Shift 2

   Let $z_1, z_2 \in \mathbb{C}$ be the distinct solutions of the equation $z^2 + 4z - (1+12i) = 0$. Then…

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4. Q9 2026 6 Apr Shift 2

   Let $S=\{z\in\mathbb{C}: z^2+\sqrt{6}\,iz-3=0\}$. Then $\displaystyle\sum_{z\in S} z^8$ is equal to…

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