Class 10 Maths Chapter 11 MCQs – Chords and Arcs (FBISE)

Description: Practice Class 10 Maths Chapter 11 MCQs on Chords and Arcs. These questions cover important circle theorems and are designed according to FBISE exam pattern.

<

1. An arc is a part of:

A) Line
B) Circle
C) Radius
D) Diameter

2. A minor arc is:

A) Less than semicircle
B) Greater than semicircle
C) Equal to circle
D) Straight line

3. A major arc is:

A) Equal to semicircle
B) Less than semicircle
C) Greater than semicircle
D) Radius

4. A semicircle corresponds to angle:

A) 90^\circ
B) 60^\circ
C) 45^\circ
D) 180^\circ

5. Equal arcs of a circle have:

A) Equal chords
B) Unequal chords
C) Equal radii
D) Equal tangents

6. Equal chords of a circle subtend equal arcs:

A) False
B) True
C) Sometimes
D) Not defined

7. The arc corresponding to a chord lies:

A) Outside circle
B) On radius
C) On circumference
D) Inside center

8. The measure of an arc is given in:

A) cm
B) m
C) mm
D) degrees

9. The central angle of a semicircle is:

A) 180^\circ
B) 90^\circ
C) 360^\circ
D) 60^\circ

10. If two arcs are equal, their central angles are:

A) Unequal
B) Zero
C) Equal
D) Infinite

11. A diameter divides a circle into:

A) Minor arcs
B) Two semicircles
C) Major arcs
D) Chords

12. If arcs are unequal, chords are:

A) Unequal
B) Equal
C) Parallel
D) Tangent

13. The longest arc corresponds to:

A) Smallest chord
B) Radius
C) Tangent
D) Largest chord

14. Arc length depends on:

A) Diameter only
B) Angle and radius
C) Tangent
D) Area

15. If central angle increases, arc length:

A) Decreases
B) Remains same
C) Increases
D) Becomes zero

16. If arc is half of circle, its angle is:

A) 180^\circ
B) 90^\circ
C) 60^\circ
D) 360^\circ

17. Chord and arc both belong to:

A) Triangle
B) Square
C) Line
D) Circle

18. Equal arcs subtend equal angles at:

A) Center
B) Circumference only
C) Tangent
D) Radius

19. If two arcs are equal, their corresponding chords are:

A) Unequal
B) Parallel
C) Equal
D) Perpendicular

20. If two chords are equal, their arcs are:

A) Unequal
B) Equal
C) Zero
D) Infinite

21. The central angle is measured at:

A) Circumference
B) Arc
C) Tangent
D) Center

22. If arc increases, chord length:

A) Increases
B) Decreases
C) Remains same
D) Becomes zero

23. If central angle is small, arc is:

A) Large
B) Equal
C) Small
D) Infinite

24. The relation between arc and angle is:

A) Inverse
B) Direct
C) No relation
D) Constant

25. If arc AB = arc CD, then:

A) Chord AB = Chord CD
B) Chord AB ≠ CD
C) Arc is zero
D) Circle disappears

26. If chords are unequal, arcs are:

A) Equal
B) Zero
C) Infinite
D) Unequal

27. The arc opposite to diameter is:

A) Minor arc
B) Semicircle
C) Major arc
D) Radius

28. If arc is major, corresponding angle is:

A) Acute
B) Right
C) Greater than 180^\circ
D) Zero

29. If arc is minor, central angle is:

A) Less than 180^\circ
B) Equal to 180^\circ
C) Greater than 180^\circ
D) Zero

30. The circumference of a circle corresponds to angle:

A) 180^\circ
B) 360^\circ
C) 90^\circ
D) 60^\circ

31. If central angle doubles, arc length:

A) Halves
B) Remains same
C) Doubles
D) Becomes zero

32. If two arcs are equal, their angles at center are:

A) Equal
B) Unequal
C) Zero
D) Infinite

33. The relation between chord and arc is:

A) Inverse
B) No relation
C) Constant
D) Direct

34. If central angle is zero, arc length is:

A) Maximum
B) Zero
C) Infinite
D) Equal to radius

35. If arc is larger, its corresponding chord is:

A) Larger
B) Smaller
C) Equal
D) Zero

36. If arc decreases, chord length:

A) Increases
B) Remains same
C) Decreases
D) Becomes infinite

37. If central angle is 180^\circ, chord is:

A) Radius
B) Diameter
C) Tangent
D) Arc

38. If central angle is very small, chord is:

A) Largest
B) Equal to diameter
C) Infinite
D) Very small

39. The diameter subtends an angle of 90^\circ at:

A) Circumference
B) Center
C) Radius
D) Tangent

40. If arc AB = 120°, then central angle AOB is:

A) 60^\circ
B) 90^\circ
C) 120^\circ
D) 180^\circ

41. If arc AB = 60°, then chord AB is:

A) Diameter
B) Less than diameter
C) Equal to radius
D) Infinite

42. If arc is 360^\circ, it represents:

A) Half circle
B) Quarter circle
C) Diameter
D) Full circle

43. If two arcs are equal, their subtended angles at center are:

A) Equal
B) Unequal
C) Zero
D) Infinite

44. If central angle increases, corresponding chord:

A) Decreases
B) Remains same
C) Increases
D) Becomes zero

45. If chord length is maximum, it is:

A) Radius
B) Diameter
C) Arc
D) Tangent

46. If chord is very small, central angle is:

A) Large
B) 180^\circ
C) 360^\circ
D) Very small

47. The total angle around center is:

A) 360^\circ
B) 180^\circ
C) 90^\circ
D) 60^\circ

48. If arc is half of circle, chord is:

A) Radius
B) Tangent
C) Diameter
D) Small chord

49. If central angle is 360^\circ, it represents:

A) Semicircle
B) Complete circle
C) Radius
D) Chord

50. Arcs and chords are used to study:

A) Circle geometry
B) Algebra
C) Statistics
D) Arithmetic

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top