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JEE Main 2025Mathematics Algebra

easy
mcq
2025
Official previous-year question

Verified 30 May 2026.

Question

For the quadratic equation $ax^2 + bx + c = 0$ to have two distinct real roots, the discriminant must satisfy:

Options

  1. A

    $b^2 - 4ac = 0$

  2. B

    $b^2 - 4ac < 0$

  3. C

    $b^2 - 4ac > 0$

  4. D

    $b^2 - 4ac \geq 0$

Solution

The discriminant of $ax^2 + bx + c = 0$ is $D = b^2 - 4ac$. For two distinct real roots, $D > 0$. If $D = 0$, roots are equal. If $D < 0$, roots are complex.

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