Quadratic Equations Mock Tests

The number of distinct real roots of the quadratic equation x² − 4x + 4 = 0 is:

The solution set of the inequality 2x² - 5x + 2 < 0 is:

The number of real solutions of the equation |x² - 4x + 3| = 1 is:

If the roots of x² - px + q = 0 are α and β, then α² + β² equals:

If the roots of x² − 5x + 6 = 0 are α and β, then α² + β² equals:

If the discriminant of a quadratic equation is negative, then the roots are:

If the roots of x² - 5x + 6 = 0 are alpha and beta, then alpha² + beta² is:

If the equation x² - 2|x| + k - 1 = 0 has exactly four distinct real roots, then k lies in the interval