Quadratic Equations

CBSE Class 10 · Mathematics · 35 past questions

These are the board's own papers. 123 more board questions reprinted in the books we use in class are for signed-in students: sign in.

10 of 35 · show all

1. Q7 2026

   If the quadratic equation $9x^2 + 8kx + 16 = 0$ has real and equal roots, then the value of k is

   Try it →
2. Q10 2026 (Basic)

   The value of k for which the equation $2kx^2 - 6x + 3 = 0$ has real and equal roots, is…

   Try it →
3. Q18 2025 (Basic)

   The discriminant of the quadratic equation $x^2-3x-2=0$ is…

   Try it →
4. Q19 2025 (Basic)

   The equation $x + \frac{1}{x} = 3$ ($x \neq 0$) is expressed as a quadratic equation in the form of…

   Try it →
5. Q24 2024

   If the roots of equation $ax^2 + bx + c = 0$, $a \neq 0$ are real and equal, then which of the following…

   Try it →
6. Q25 2024 (Basic)

   If the roots of quadratic equation $4x^2-5x+k=0$ are real and equal, then value of $k$ is…

   Try it →
7. Q31 2023 (Basic)

   The discriminant of the quadratic equation $2x^2 - 5x - 3 = 0$ is

   Try it →
8. Q32 2022

   Find the value of m for which the quadratic equation…

   Try it →
9. Q34 2022 (Basic)

   Find the nature of the roots of the quadratic equation $x^2 – 5x + 9 = 0$.

   Try it →
10. Q35 2022 (Basic)

    Solve the quadratic equation $2x^2 - 5x - 1 = 0$ for x.

    Try it →