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Quadratic Equations

Bihar Board Class 10 · Mathematics · 40 past questions

  1. Q1 2026
    $ax^2+bx+c=0$ is said to be a quadratic equation in variable $x$ where $a$, $b$ & $c$ are real numbers then
  2. Q2 2026
    Discriminant of the quadratic equation $5x^2-6x-2=0$ is
  3. Q3 2026
    Nature of the roots of the quadratic equation $x^2 - 3x - 10 = 0$ is
  4. Q4 2026
    The value of the discriminant of the quadratic equation $bx^2+ax+c=0$, where $b \neq 0$ is
  5. Q5 2025
    For what value of $k$, roots of the quadratic equation $kx^2 - 6x + 1 = 0$ are real and equal ?
  6. Q6 2025
    Which of the following is a quadratic equation ?
  7. Q7 2025
    Which of the following is not a quadratic equation ?
  8. Q8 2025
    The discriminant of the quadratic equation $2x^2-7x+6=0$ is
  9. Q9 2025
    If $\alpha$ and $\beta$ are roots of the quadratic equation $3x^2-5x+2=0$ then the value of…
  10. Q10 2025
    If one root of the quadratic equation $2x^2 - x - 6 = 0$ is $\frac{-3}{2}$ then its another root is
  11. Q11 2025
    What is the nature of the roots of the quadratic equation $2x^2 - 6x + 3 = 0$ ?
  12. Q12 2024
    Which of the following is a quadratic equation ?
  13. Q13 2024
    If one root of the quadratic equation $x^2+2kx+4=0$ is 2, then the value of $k$ is
  14. Q14 2024
    For what value of $p$, roots of the quadratic equation $px^2-2x+3=0$ are real and equal ?
  15. Q15 2024
    What is the nature of roots of the quadratic equation $6x^2 - 3x + 5 = 0$?
  16. Q16 2024
    If one root of the quadratic equation $x^2 + x - 20 = 0$ is 4, then its other root is
  17. Q17 2024
    If $\alpha$ and $\beta$ are the roots of the quadratic equation $x^2 + 6x + 5 = 0$ then the value of…
  18. Q18 2024
    The roots of the quadratic equation $px^2 - qx + r = 0$, $p \neq 0$ are
  19. Q19 2024
    If $x = -1$ is a common root of both the equations $2x^2 + 3x + p = 0$ and $qx^2 - qx + 4 = 0$ then the value…
  20. Q20 2023
    Which of the following is a quadratic equation?
  21. Q21 2023
    If one root of the equation 2x^2 + px - 3 = 0 is -3 then the value of p will be
  22. Q22 2023
    For what values of k the roots of the quadratic equation $9x^2 + 3kx + 4 = 0$ are real and equal ?
  23. Q23 2023
    If $\alpha$, $\beta$ are the roots of the equation $x^2 + 3px + 2p^2 = 0$ and $\alpha^2 + \beta^2 = 5$ then…
  24. Q24 2023
    The roots of the quadratic equation $a^2 p^2 x^2 - q^2 = 0$ are
  25. Q25 2023
    The ratio of the sum of the roots and product of the roots of a quadratic equation $x^2 - 15x + 50 = 0$ is
  26. Q26 2023
    If -5 and -1 are the roots of a quadratic equation, then the equation will be
  27. Q27 2023
    The discriminant of quadratic equation $x^2 + 4x + b = 0$ is
  28. Q28 2022
    Which of the following is a quadratic equation ?
  29. Q29 2022
    Which of the following is not a quadratic equation ?
  30. Q30 2022
    If the quadratic equation $2x^2 - px + p = 0$ has equal roots then the value of $p$ will be
  31. Q31 2022
    If the equation $x^2 - kx + 4 = 0$ has no real roots then the value of $k$ is
  32. Q32 2022
    If $\alpha$ and $\beta$ are the roots of the quadratic equation $x^2 - 3\sqrt{3}x - 12 = 0$, then…
  33. Q33 2020
    Which of the following is a quadratic equation ?
  34. Q34 2020
    If the roots of a quadratic equation $x^2 - px + 4 = 0$ are equal then $p = ?$
  35. Q35 2019
    If roots of the quadratic equation $bx^2 + ax + c = 0$ are equal, then -
  36. Q36 2019
    Which of the following is not a quadratic equation?
  37. Q37 2018
    If the quadratic equation $ax^2 - 4ax + 2a + 1 = 0$ has repeated (equal) roots, $a = \ldots$
  38. Q38 2017
    The sum of roots of the quadratic equation $x^2 + 2x - 3 = 0$ will be-
  39. Q39 2015
    If the discriminant of quadratic equation $cx^2 - bx + a = 0$ is zero, then the value of equal root $\beta$…
  40. Q40 2015
    The roots of the equation $a^2p^2x^2 - q^2 = 0$ will be