MCQ — Attempt all

1. What is a root of a quadratic equation?
   • The coefficient of the equation
   • A value that makes the equation true
   • Only the constant term
   • The highest power of the equation
2. Is x = 2 a root of x² - 5x + 6 = 0?
   • Yes
   • No
   • Cannot be determined
   • Only x = 0 can be a root
3. Which formula is used to find the roots of ax² + bx + c = 0?
   • x = (b ± √(b² - 4ac)) / 2a
   • x = (-b ± √(b² - 4ac)) / 2a
   • x = (-a ± √(b² - 4ac)) / 2b
   • x = (-c ± √(b² - 4ac)) / 2a
4. What is the discriminant of a quadratic equation?
   • a² - 4bc
   • b² - 4ac
   • c² - 4ab
   • 2a
5. If D > 0, what is the nature of roots?
   • Real and unequal
   • Real and equal
   • Not real
   • Only one root
6. If D = 0, what is the nature of roots?
   • Real and unequal
   • Real and equal
   • Not real
   • No roots
7. If D < 0, what do we say at Class 10 level?
   • There are two real roots
   • There are two equal real roots
   • There are no real roots
   • Roots are always integers
8. If α and β are the roots of ax² + bx + c = 0, then what is α + β?
   • c/a
   • -c/a
   • b/a
   • -b/a
9. If α and β are the roots of ax² + bx + c = 0, then what is αβ?
   • c/a
   • -c/a
   • b/a
   • -b/a
10. If the roots of a quadratic equation are 2 and 3, which equation is correct?
    • x² + 5x + 6 = 0
    • x² - 5x + 6 = 0
    • x² - x + 6 = 0
    • x² + 5x - 6 = 0