1. The standard form of a quadratic equation in x is
Answer: B. ax² + bx + c = 0, a ≠ 0
Mathematics Class 10 Unit 2: Quadratic Equations MCQs
36 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
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2. Which of the following is a quadratic equation?
Answer: C. x² − 5x + 6 = 0
3. The degree of a quadratic equation is
Answer: A. 2
4. The solution set of x² − 5x + 6 = 0 is
Answer: D. {2, 3}
5. The solution set of x² − 4 = 0 is
Answer: A. {2, −2}
6. The solution set of (x − 2)(x + 5) = 0 is
Answer: C. {2, −5}
7. The solution set of x² = 3x is
Answer: D. {0, 3}
8. The solution set of 2x² − x − 1 = 0 is
Answer: B. {1, −1/2}
9. The solution set of x² − 6x + 9 = 0 is
Answer: D. {3}
10. The quadratic formula for ax² + bx + c = 0 is
Answer: A. x = (−b ± √(b² − 4ac))/2a
11. The discriminant of ax² + bx + c = 0 is
Answer: C. b² − 4ac
12. The discriminant of 2x² + 3x − 2 = 0 is
Answer: B. 25
13. The roots of x² + 2x + 1 = 0 are
Answer: B. real and equal
14. If the discriminant of a quadratic equation is negative, its roots are
Answer: A. complex conjugates
15. If the discriminant of a quadratic equation with rational coefficients is 16, its roots are
Answer: C. rational and unequal
16. The roots of x² + x + 1 = 0 are
Answer: D. complex numbers
17. The value of k for which x² + kx + 9 = 0 has equal roots is
Answer: D. ±6
18. To make x² + 6x a perfect square, we add
Answer: C. 9
19. To make x² − 10x a perfect square, we add
Answer: A. 25
20. The roots of x² + 4 = 0 are
Answer: B. ±2i
21. The sum of the roots of 2x² − 6x − 4 = 0 is
Answer: B. 3
22. The product of the roots of 2x² − 6x − 4 = 0 is
Answer: C. −2
23. The sum of the roots of x² + 5x + 6 = 0 is
Answer: A. −5
24. The sum of the roots of 3x² − 11x − 4 = 0 is
Answer: D. 11/3
25. The quadratic equation whose roots are 2 and 3 is
Answer: A. x² − 5x + 6 = 0
26. The quadratic equation whose roots are −1 and 4 is
Answer: C. x² − 3x − 4 = 0
27. If α and β are the roots of x² − 7x + 12 = 0, then α² + β² equals
Answer: D. 25
28. If α and β are the roots of x² − 7x + 12 = 0, then 1/α + 1/β equals
Answer: B. 7/12
29. If 2 is a root of x² − 5x + k = 0, then k equals
Answer: D. 6
30. The roots of ax² + bx + c = 0 are reciprocals of each other if
Answer: B. c = a
31. The roots of ax² + bx + c = 0 are equal in magnitude but opposite in sign if
Answer: A. b = 0
32. Two numbers whose sum is 10 and product is 21 are
Answer: C. 3 and 7
33. To solve x⁴ − 5x² + 4 = 0, the substitution y = x² gives
Answer: B. y² − 5y + 4 = 0
34. The solution set of x⁴ − 5x² + 4 = 0 is
Answer: A. {±1, ±2}
35. The solution of x + 1/x = 2 is
Answer: D. x = 1
36. The solution set of x + y = 3 and x² + y² = 5 is
Answer: C. {(1, 2), (2, 1)}
About Mathematics Class 10 Unit 2 MCQs (Federal Board)
These 36 Mathematics MCQs cover Class 10 Unit 2: Quadratic Equations of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Quadratic Equations MCQs as a PDF using the button at the top of this page.