Class 10 Maths Chapter 2 Theory of Quadratic Equations MCQs - MCQs

Description: Practice Class 10 Maths Chapter 2 Quadratic Equations MCQs with answers based on FBISE syllabus. Prepare for board exams with these important multiple choice questions.

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1. The standard form of a quadratic equation is:

A) $ax + b = 0$ B) $ax^2 + bx + c = 0$ C) $ax^3 + bx^2 + c = 0$ D) $ax + b = c$

2. The degree of a quadratic equation is:

A) 1 B) 2 C) 3 D) 4

3. The discriminant is:

A) $b^2 + 4ac$ B) $b^2 - 4ac$ C) $4ac - b^2$ D) $\frac{b^2}{4ac}$

4. If D = 0, roots are:

A) Unequal B) Imaginary C) Equal D) Irrational

5. If D > 0, roots are:

A) Real and distinct B) Equal C) Imaginary D) Zero

6. If D < 0, roots are:

A) Real B) Complex C) Equal D) Rational

7. Roots of x² – 4 = 0 are:

A) ±2 B) ±4 C) 2 only D) 4 only

8. Sum of roots of ax²+bx+c=0 is:

A) b/a B) c/a C) -b/a D) a/b

9. Product of roots is:

A) -c/a B) c/a C) b/a D) a/c

10. Nature depends on:

A) Discriminant B) Coefficients C) Variable D) Degree

11. Equation x² = 9 has roots:

A) 3 B) -3 C) ±3 D) 0

12. Discriminant of x² + 2x + 1 is:

A) 0 B) 4 C) -4 D) 2

13. Roots are equal if:

A) D > 0 B) D = 0 C) D < 0 D) None

14. Discriminant of x² – 5x + 6 is:

A) 1 B) 25 C) 36 D) 5

15. Roots of x² – 5x + 6 are:

A) 1,6 B) 2,4 C) 2,3 D) 3,5

16. Sum of roots of x² – 7x + 10 is:

A) 10 B) 7 C) -7 D) -10

17. Product of roots of x² – 7x + 10 is:

A) 10 B) 7 C) -10 D) -7

18. Nature of roots of x² + x + 1:

A) Real equal B) Real distinct C) Rational D) Complex

19. If D > 0, roots are:

A) Equal B) Complex C) Distinct D) Zero

20. Quadratic formula is:

A) $-b/a$ B) $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ C) $b^2 - 4ac$ D) $a^2 + b^2$

21. If a=1, equation becomes:

A) Monic B) Linear C) Cubic D) Constant

22. Roots of x²=0 are:

A) 1 B) -1 C) 0,0 D) ±1

23. Equation x² + 4 = 0 has:

A) Real roots B) Complex roots C) Equal roots D) Rational roots

24. Discriminant of x²+4 is:

A) -16 B) 16 C) 4 D) 0

25. Roots of x² – 1 = 0:

A) 1 B) -1 C) ±1 D) 0

26. Coefficient of x² is:

A) b B) a C) c D) x

27. Equation with no real roots has:

A) D<0 B) D>0 C) D=0 D) None

28. If D=0, roots are:

A) Distinct B) Complex C) Imaginary D) Equal

29. Roots of x²-2x=0:

A) 1,2 B) 0,2 C) 2,2 D) 0,1

30. Factorization method is used to:

A) Solve equation B) Add numbers C) Multiply only D) Divide

31. Equation x²-3x=0 has roots:

A) 3 B) 0 C) 0,3 D) 1,3

32. Value of D for x²+6x+9:

A) 36 B) 0 C) -36 D) 6

33. Roots of x²+6x+9:

A) -3,-3 B) 3,3 C) -3,3 D) 0,3

34. Equation x²+5x+6=0 roots:

A) 1,6 B) 2,4 C) -1,-6 D) -2,-3

35. Sum of roots of x²+5x+6:

A) -5 B) 5 C) -6 D) 6

36. Product of roots of x²+5x+6:

A) -5 B) 5 C) 6 D) -6

37. Quadratic equation has:

A) One root B) Two roots C) Three roots D) No root

38. If b²-4ac is perfect square, roots are:

A) Rational B) Irrational C) Complex D) Equal

39. Equation x²+2x+5 has:

A) Equal roots B) Real roots C) Complex roots D) Rational roots

40. Discriminant of x²+2x+5:

A) 4 B) -16 C) 16 D) 2

41. If D=1, roots are:

A) Real distinct B) Equal C) Complex D) Zero

42. Equation x²+1=0 roots:

A) 1 B) -1 C) 0 D) ±i

43. Value of i² is:

A) 1 B) -1 C) 0 D) 2

44. Quadratic equation always has:

A) Two roots B) One root C) Three roots D) No roots

45. If a=0, equation becomes:

A) Quadratic B) Cubic C) Linear D) Constant

46. Roots of x²-6x+9:

A) 3,-3 B) 3,3 C) -3,-3 D) 0,3

47. D of x²-6x+9:

A) 0 B) 36 C) -36 D) 6

48. Equation x²-4x+5 has:

A) Equal roots B) Real roots C) Rational D) Complex roots

49. Discriminant of x²-4x+5:

A) 16 B) -4 C) 4 D) 5

50. Roots of x²-4x+4:

A) 2,2 B) 2,-2 C) -2,-2 D) 0,2

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