Class 10 Maths Chapter 1 Real Numbers MCQs

By tmagriou / April 11, 2026

This post contains important MCQs of Class 10 Maths Chapter 1 Complex Numbers (FBISE). These multiple choice questions are prepared according to board pattern to help students in exam preparation.

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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 of $ax^2 + bx + c = 0$ is:

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

4. If discriminant is positive, roots are:

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

5. If discriminant is zero, roots are:

A) Real and equal B) Real and distinct C) Imaginary D) Irrational

6. If discriminant is negative, roots are:

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

7. The quadratic formula is:

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

8. Sum of roots of quadratic equation is:

A) $-\frac{b}{a}$ B) $\frac{b}{a}$ C) $-\frac{c}{a}$ D) $\frac{c}{a}$

9. Product of roots is:

A) $-\frac{c}{a}$ B) $\frac{c}{a}$ C) $\frac{b}{a}$ D) $\frac{a}{c}$

10. If roots are equal, then:

A) $b^2 > 4ac$ B) $b^2 = 4ac$ C) $b^2 < 4ac$ D) $b = 0$

11. Roots of $x^2 - 5x + 6 = 0$ are:

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

12. Factorization of $x^2 - 9$ is:

A) $(x - 3)(x + 3)$ B) $(x - 9)(x + 1)$ C) $(x - 1)(x + 9)$ D) $(x - 3)^2$

13. Roots of $x^2 = 0$ are:

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

14. Roots of $x^2 + 4x + 4 = 0$ are:

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

15. Nature of roots of $x^2 + 1 = 0$ is:

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

16. Discriminant of $x^2 - 4x + 4 = 0$ is:

A) 0 B) 16 C) -16 D) 8

17. Equation $x^2 - 9 = 0$ can be written as:

A) $x^2 = 9$ B) $(x-3)(x+3)=0$ C) Roots are ±3 D) All of these

18. Roots of $x^2 - 16 = 0$ are:

A) ±4 B) ±8 C) ±2 D) ±16

19. Sum of roots of $x^2 - 7x + 10 = 0$ is:

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

20. Product of roots of $x^2 - 7x + 10 = 0$ is:

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

21. Roots of $x^2 - x - 6 = 0$ are:

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

22. Discriminant of $2x^2 - 4x + 1 = 0$ is:

A) 8 B) 8 C) -8 D) 0

23. Nature of roots if $b^2 - 4ac > 0$ :

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

24. If $a = 0$ , equation becomes:

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

25. Roots of $x^2 + 5x + 6 = 0$ are:

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

26. If sum of roots is 5 and product is 6, equation is:

A) $x^2 - 5x + 6 = 0$ B) $x^2 + 5x + 6 = 0$ C) $x^2 - 6x + 5 = 0$ D) $x^2 + 6x + 5 = 0$

27. If product of roots is negative, roots are:

A) Both positive B) Opposite signs C) Both negative D) Equal

28. Roots of $x^2 - 2x - 3 = 0$ are:

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

29. If discriminant is perfect square, roots are:

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

30. Roots of $x^2 - 4 = 0$ are:

A) ±1 B) ±2 C) ±4 D) ±8

31. Equation having equal roots is:

A) $x^2 + 2x + 1 = 0$ B) $x^2 - 1 = 0$ C) $x^2 + 1 = 0$ D) $x^2 - 2x + 3 = 0$

32. Roots of $x^2 + x = 0$ are:

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

33. Sum of roots of $2x^2 + 3x + 1 = 0$ is:

A) $\frac{3}{2}$ B) $-\frac{3}{2}$ C) $\frac{1}{2}$ D) $-1$

34. Product of roots of $2x^2 + 3x + 1 = 0$ is:

A) 1 B) 3 C) $\frac{1}{2}$ D) 2

35. If roots are 2 and 5, equation is:

A) $x^2 - 7x + 10 = 0$ B) $x^2 + 7x + 10 = 0$ C) $x^2 - 10x + 7 = 0$ D) $x^2 + 10x + 7 = 0$

36. Discriminant of $x^2 + 2x + 5 = 0$ is:

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

37. Nature of roots of $x^2 + 2x + 5 = 0$ :

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

38. Roots of $x^2 - 6x + 9 = 0$ are:

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

39. If sum = 0, equation is:

A) $x^2 + bx + c = 0$ B) $x^2 + c = 0$ C) $x^2 + x + c = 0$ D) $x^2 - c = 0$

40. Roots of $x^2 - 25 = 0$ :

A) ±5 B) ±25 C) ±10 D) ±2

41. If a quadratic has no real roots, discriminant is:

A) Positive B) Zero C) Perfect square D) Negative

42. Roots of $x^2 - x = 0$ :

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

43. If roots are equal, graph touches x-axis at:

A) Two points B) One point C) No point D) Infinite points

44. Roots of $x^2 + 3x + 2 = 0$ :

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

45. Roots of $x^2 - 3x + 2 = 0$ :

A) 1, 2 B) -1, -2 C) 2, 3 D) 0, 2

46. Product of roots of $x^2 + x - 6 = 0$ :

A) 6 B) -6 C) 1 D) -1

47. Sum of roots of $x^2 + x - 6 = 0$ :

A) -1 B) 1 C) 6 D) -6

48. Roots of $x^2 + x - 6 = 0$ :

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

49. If $b^2 - 4ac = 0$ , roots are:

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

50. Roots of $x^2 - 2x + 1 = 0$ :

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

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