NCERT Chapter 9 MCQs – Angle Subtended by a Chord & Circle Properties
NCERT Chapter 9 MCQs – Angle Subtended by a Chord & Circle Properties
Class: 9 | Subject: Mathematics | Chapter: 9 – Circles
Board: CBSE | Based on Latest NCERT Curriculum
Board: CBSE | Based on Latest NCERT Curriculum
These MCQs are strictly designed according to the CBSE Class 9 Mathematics syllabus and NCERT textbook. Ideal for exams and concept clarity.
1. The angle subtended by an arc at the centre is:
Answer: B.
Angle at centre is twice the angle subtended at any point on the remaining part of the circle.
Angle at centre is twice the angle subtended at any point on the remaining part of the circle.
2. Angles in the same segment of a circle are:
Answer: A.
Angles subtended by the same chord in the same segment are equal.
Angles subtended by the same chord in the same segment are equal.
3. The angle in a semicircle is:
Answer: C.
Angle subtended by diameter at circumference is 90°.
Angle subtended by diameter at circumference is 90°.
4. If angle at centre is 100°, angle at circumference is:
Answer: B.
Angle at circumference = half of central angle.
Angle at circumference = half of central angle.
5. Equal chords subtend equal angles at:
Answer: C.
Equal chords subtend equal angles at centre and circumference.
Equal chords subtend equal angles at centre and circumference.
6. If angle at circumference is 40°, central angle is:
Answer: B.
2 × 40° = 80°.
2 × 40° = 80°.
7. Diameter subtends angle at circumference:
Answer: B.
Angle in semicircle.
Angle in semicircle.
8. If two angles stand on same chord but in opposite segments, they are:
Answer: B.
Angles in opposite segments sum to 180°.
Angles in opposite segments sum to 180°.
9. If central angle is 60°, angle at circumference is:
Answer: A.
Half of 60°.
Half of 60°.
10. Angle in same segment theorem applies to:
Answer: A.
Same chord property.
Same chord property.
11. If angle subtended by chord at centre is 140°, angle at circumference is:
Answer: A.
Half of 140°.
Half of 140°.
12. In cyclic quadrilateral, opposite angles are:
Answer: B.
Sum = 180°.
Sum = 180°.
13. If angle in semicircle is 90°, diameter acts as:
Answer: A.
Forms right triangle.
Forms right triangle.
14. Equal arcs subtend equal angles at:
Answer: C.
Equal arcs property.
Equal arcs property.
15. If angle at centre is 180°, chord is:
Answer: B.
Central angle 180° → diameter.
Central angle 180° → diameter.
16. If angles subtended by two chords at centre are equal, chords are:
Answer: B.
Converse theorem.
Converse theorem.
17. Opposite angles of cyclic quadrilateral sum to:
Answer: B.
Cyclic quadrilateral property.
Cyclic quadrilateral property.
18. Angle subtended by minor arc is:
Answer: A.
Minor arc → smaller central angle.
Minor arc → smaller central angle.
19. If central angle doubles, angle at circumference:
Answer: B.
Always half of central angle.
Always half of central angle.
20. Angle subtended by chord at centre is always:
Answer: B.
Key circle theorem.
Key circle theorem.