UP Board Class 10 Quadratic Equations — practice questions
30 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice UP Board Class 10 Quadratic Equations in the app →The standard form of a quadratic equation in the variable x is:The roots of a quadratic equation $ax^2+bx+c=0$ are given by the quadratic formula:For a quadratic equation $ax^2+bx+c=0$, the discriminant is:A quadratic equation has two distinct real roots when its discriminant is:A quadratic equation has two equal real roots when its discriminant is:A quadratic equation has no real roots when its discriminant is:For $ax^2+bx+c=0$, the sum of the roots equals:For $ax^2+bx+c=0$, the product of the roots equals:The roots of the equation $x^2 - 5x + 6 = 0$ are:The roots of $x^2 + 4x + 4 = 0$ are:The value(s) of k for which $x^2 + kx + 9 = 0$ has two equal roots is/are:The discriminant of $2x^2 - 4x + 3 = 0$ is −8, so the equation has:A quadratic equation can have at most how many roots?Which of the following is a quadratic equation?For ax² + bx + c = 0 to be a quadratic equation, what condition must hold?Is x = 3 a root of the equation x² − 4x + 3 = 0?A rectangular field is 5 m longer than it is wide, and its area is 50 m². If the width is x metres, which equaIdentify a, b, c in the equation 3x² − 7x + 2 = 0.Solve x² − 5x + 6 = 0 by factorisation.Solve x² + 7x + 12 = 0.Solve 2x² + 7x + 3 = 0.Solve x² − 8x + 16 = 0.The roots of x² − x − 12 = 0 are:A rectangular plot has its length 3 m more than its width, and its area is 54 m². Find its width.For ax² + bx + c = 0, the discriminant is:For x² + 4x + 13 = 0, find the discriminant and classify roots.For x² − 6x + 9 = 0, find D and the nature of roots.Solve 2x² − 5x + 3 = 0 by the quadratic formula.For what value of k does x² + kx + 16 = 0 have equal roots?Solve x² − 2x − 4 = 0.