Class 10 Quadratic Equations Quiz
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Questions and Answers

What is the standard form of a quadratic equation?

  • $y = ax^2 - bx + c$
  • $y = ax^3 + bx^2 + c$
  • $y = a + bx + cx^2$
  • $y = ax^2 + bx + c$ (correct)
  • What is the vertex form of a quadratic equation?

  • $y = a(x + h)^2 + k$
  • $y = a(x - h)^2 + k$ (correct)
  • $y = a(x - h) + k$
  • $y = ax^2 + bx + c$
  • What is the discriminant of a quadratic equation $ax^2 + bx + c = 0$?

  • $a^2 - 4b^2 + c$
  • $b^2 - 4ac$ (correct)
  • $2ab - c$
  • $b^2 + 4ac$
  • Study Notes

    Quadratic Equations

    • The standard form of a quadratic equation is $ax^2 + bx + c = 0$, where a, b, and c are constants, and a ≠ 0.
    • The vertex form of a quadratic equation is $f(x) = a(x - h)^2 + k$, where (h, k) is the vertex of the parabola.

    Discriminant of a Quadratic Equation

    • The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is denoted by D and is equal to $b^2 - 4ac$.
    • The discriminant determines the number of solutions of the quadratic equation.

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    Description

    Test your knowledge on quadratic equations with this quiz for class 10 students. Explore the standard form and vertex form of quadratic equations, and understand the discriminant of a quadratic equation. Sharpen your understanding of key concepts in quadratic equations.

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