1. A line segment joining any two points of a circle is called a
Answer: C. chord
Mathematics Class 10 Unit 9: Chord and Arcs of a Circle 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. The longest chord of a circle is its
Answer: D. diameter
3. A chord that passes through the centre of a circle is called a
Answer: A. diameter
4. The perpendicular from the centre of a circle to a chord
Answer: B. bisects the chord
5. The line joining the centre of a circle to the midpoint of a chord is
Answer: D. perpendicular to the chord
6. Equal chords of a circle are
Answer: B. equidistant from the centre
7. Chords of a circle that are equidistant from the centre are
Answer: C. equal in length
8. In a circle of radius 5 cm, a chord is 6 cm long. Its distance from the centre is
Answer: A. 4 cm
9. In a circle of radius 13 cm, a chord is 24 cm long. Its distance from the centre is
Answer: D. 5 cm
10. A chord of length 8 cm is at a distance of 3 cm from the centre of a circle. The radius is
Answer: A. 5 cm
11. A chord of length 16 cm is at a distance of 6 cm from the centre. The radius is
Answer: C. 10 cm
12. If two chords AB and CD of a circle are equal, then their distances from the centre are
Answer: B. equal
13. If two chords of a circle are at unequal distances from the centre, the chord nearer to the centre is
Answer: C. longer
14. A quadrilateral whose all four vertices lie on a circle is called
Answer: A. a cyclic quadrilateral
15. A line that meets a circle at two distinct points is called a
Answer: D. secant
16. A chord divides a circle into two parts called
Answer: B. segments
17. The region bounded by two radii and the arc between them is called a
Answer: B. sector
18. Equal arcs of a circle subtend
Answer: C. equal angles at the centre
19. If two arcs of a circle subtend equal angles at the centre, then the corresponding chords are
Answer: D. equal
20. The perpendicular bisector of a chord of a circle passes through
Answer: A. the centre of the circle
21. The number of circles that can pass through three non-collinear points is
Answer: D. exactly one
22. A chord of length 10 cm lies in a circle of radius 5 cm. Its distance from the centre is
Answer: B. 0 cm
23. In a circle of radius 10 cm, a chord is at a distance of 6 cm from the centre. The length of the chord is
Answer: C. 16 cm
24. In a circle of radius 13 cm, a chord is at a distance of 12 cm from the centre. The length of the chord is
Answer: A. 10 cm
25. The length of the longest chord of a circle of radius r is
Answer: D. 2r
26. The perpendicular bisectors of two non-parallel chords of a circle meet at
Answer: A. the centre of the circle
27. If the midpoint of a chord is M and the centre is O, then OM is
Answer: C. perpendicular to the chord
28. If AB is a chord of a circle with centre O and M is its midpoint, then angle OMA measures
Answer: B. 90°
29. A straight line drawn from the centre of a circle to bisect a chord (which is not a diameter) is
Answer: D. perpendicular to the chord
30. If two chords of a circle are congruent, then their corresponding minor arcs are
Answer: A. congruent
31. Equal chords of a circle subtend at the centre
Answer: B. equal angles
32. If two chords of a circle subtend equal angles at the centre, then the chords are
Answer: C. equal
33. A circle cannot be drawn through three points that are
Answer: A. collinear
34. The centre of the circle passing through the three vertices of a triangle lies at the intersection of its
Answer: D. perpendicular bisectors of the sides
35. A chord subtends an angle of 60° at the centre of a circle of radius 7 cm. The length of the chord is
Answer: C. 7 cm
36. A chord subtends an angle of 90° at the centre of a circle of radius 5 cm. The length of the chord is
Answer: B. 5√2 cm
About Mathematics Class 10 Unit 9 MCQs (Federal Board)
These 36 Mathematics MCQs cover Class 10 Unit 9: Chord and Arcs of a Circle 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 Chord and Arcs of a Circle MCQs as a PDF using the button at the top of this page.