Mastering Quadratic Equations: A CBSE Class 10 Maths Practice Quiz

Q1. Which of the following is a quadratic equation?

Q2. The roots of the quadratic equation $x^2 - 9 = 0$ are:

Q3. If $x=1$ is a root of the equation $x^2 + kx + 3 = 0$, then the value of $k$ is:

Q4. The standard form of a quadratic equation is:

Q5. Find the roots of the equation $x^2 - 7x + 10 = 0$ by factorization.

Q6. The discriminant of the quadratic equation $3x^2 - 2x + 1 = 0$ is:

Q7. For what value of $k$ does the quadratic equation $kx^2 + 4x + 1 = 0$ have real and equal roots?

Q8. The sum of the roots of the quadratic equation $2x^2 - 5x + 3 = 0$ is:

Q9. If the product of the roots of the equation $ax^2 - 6x - 6 = 0$ is $2$, then the value of $a$ is:

Q10. Which of the following quadratic equations has roots $2$ and $3$?

Q11. The roots of the quadratic equation $x^2 + x - 12 = 0$ are:

Q12. If one root of the quadratic equation $2x^2 + kx - 6 = 0$ is $2$, then the other root is:

Q13. A quadratic equation whose roots are $0$ and $-4$ is:

Q14. The value of $k$ for which the quadratic equation $x^2 - 4x + k = 0$ has no real roots is:

Q15. A rectangular park is to be designed whose breadth is $3m$ less than its length. Its area is to be $4$ square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude $12m$. What is the length of the rectangular park?