Class 10 Maths – Quadratic Equations Quiz

Which of the following is a quadratic equation?

The general form of a quadratic equation is \(ax^2 + bx + c = 0\), where \(a\), \(b\) and \(c\) are real numbers. For this equation to be a quadratic equation:

Which of the following numbers is a root of the quadratic equation \(x^2 - 5x + 6 = 0\)?

If \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(2x^2 + 5x - 3 = 0\), then the value of \(\alpha + \beta + \alpha\beta\) is:

The roots of the quadratic equation \(4x^2 - 5x + 4 = 0\) are:

The roots of the quadratic equation \(x^2 + x + 1 = 0\) are:

The roots of the quadratic equation \(2x^2 + x - 6 = 0\) are:

By factorisation, the roots of the quadratic equation \(4x^2 - 12x + 9 = 0\) are:

Using the quadratic formula, the roots of the quadratic equation \(x^2 - 4x - 5 = 0\) are:

If the sum of the roots of a quadratic equation is \(-3\) and the product of the roots is \(-6\), then the quadratic equation is:

If the discriminant of the quadratic equation \(3x^2 - 2x + c = 0\) is 16, then the value of \(c\) is:

If the quadratic equation \(ax^2 + bx + c = 0\) has real and equal roots, then the value of \(c\) is:

The ratio of the sum and the product of the roots of the quadratic equation \(5x^2 - 6x + 21 = 0\) is:

Which of the following quadratic equations has real and distinct roots?

The value of \(a\) for which the quadratic equation \(ax^2 + x + a = 0\) has real and equal roots that are both positive is:

For which value of \(k\) does the quadratic equation \(4x^2 + kx + 1 = 0\) have real and equal roots?

A train travels 480 km at a uniform speed. If the speed had been 8 km/h less, it would have taken 3 hours more to cover the same distance. The speed of the train is:

The sum of the squares of two consecutive positive integers is 365. The two integers are:

The graph of the quadratic function \(f(x) = x^2 - 6x + p\) touches the \(x\)-axis at exactly one point. The value of \(p\) is:

A rectangular plot has its length 4 m more than its breadth. If both the length and the breadth are increased by 2 m, the area increases by 44 m². The original breadth of the plot is: