February 22, 2026

Competitive Wisdom

Quadratic Equation MCQ for Class 10 – 50 Practice Questions with Answers & Explanations

Quadratic equations are one of the most important and scoring chapters in Class 10 Mathematics. To master this topic, students need regular practice, clear understanding of concepts, and exposure to different types of exam-oriented questions.

This Quadratic Equation MCQ mock test is specially created for Class 10 students who want to strengthen their fundamentals and improve their exam confidence. The questions are carefully aligned with the Class 10 syllabus, and designed in the MCQ pattern followed in board exams and competitive tests.

This helps students not only check their answers but also understand why a particular option is correct.

Take the Mock Test Now!

Whether you are preparing for:

This test follows the Multiple-Choice Question (MCQ) format, similar to what you will encounter in the actual entrance exams. It will help you:

  • School exams
  • Board exams
  • Scholarship or entrance tests

this quadratic equation MCQ practice set will help you revise effectively and avoid common mistakes.

1. 
How many real roots does x² + 6x + 25 = 0 have?

2. 
For x² + bx + 16 = 0 to have equal roots:

3. 
The quadratic formula is:

4. 
If roots of x² + 7x + 12 = 0 are α and β, then αβ is:

5. 
The roots of the equation x² = 5x are:

6. 
If D < 0, roots are:

7. 
The value of discriminant for x² − 4x + 4 = 0 is:

8. 
The roots of x² − 2x + 1 = 0 are:

9. 
The equation (x − 5)(x + 2) = 0 has roots:

10. 
Roots of x(x − 4) = 0 are:

11. 
Solve: x² = 16

12. 
Nature of roots when discriminant is zero:

13. 
Which of the following is a quadratic equation?

14. 
The value of k for which x² + kx + 16 = 0 has two real roots is:

15. 
Quadratic equation formed if roots are 3 and −5 is:

16. 
Roots of x² − 1 = 0 are:

17. 
Find the roots of x² − 9 = 0.

18. 
If one root of x² + 4x + p = 0 is 2, then p is:

19. 
Solve: 3x² − 15 = 0

20. 
Which method is best for x² − 3x − 10 = 0?

21. 
For which value of k does x² + kx + 9 = 0 have equal roots?

22. 
The value of ‘a’ in quadratic equation ax² + 5x + 1 = 0 cannot be:

23. 
Number of real roots of x² − 2x − 3 = 0:

24. 
Solve: x² + 5x + 6 = 0

25. 
For the equation x² + kx + 9 = 0 to have unequal real roots, k must satisfy:

26. 
Roots of x² + 1 = 0 are:

27. 
The equation x² − 9x + 20 = 0 factors to:

28. 
The sum of roots of x² + 6x + 5 = 0 is:

29. 
If the sum of the roots of x² + ax + 8 = 0 is 6, then a is:

30. 
The roots of x² − 10x + 24 = 0 are:

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