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Quadratic Equations

JEE Main · Mathematics · 3 past questions

These are the board's own papers. 145 more board questions reprinted in the books we use in class are for signed-in students: sign in.

  1. Q1 2026 2 Apr Shift 1
    Let $\alpha, \alpha+2$, $\alpha \in \mathbf{Z}$, be the roots of the quadratic equation…
  2. Q2 2026 2 Apr Shift 2
    Let $\alpha, \beta$ be the roots of the equation $x^2 - 3x + r = 0$, and $\frac{\alpha}{2}, 2\beta$ be the…
  3. Q3 2026 5 Apr Shift 1
    Let $a, b \in \mathbb{C}$. Let $\alpha, \beta$ be the roots of the equation $x^2 + ax + b = 0$. If…