Class 9 Maths MCQs – Equal Chords & Perpendicular from Centre Theorem
Class 9 Maths MCQs – Equal Chords & Perpendicular from Centre Theorem
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 based on the CBSE Class 9 Mathematics syllabus and NCERT textbook guidelines. Ideal for school exams and board preparation.
1. Equal chords of a circle are equidistant from the:
Answer: C.
According to the theorem, equal chords are equidistant from the centre.
According to the theorem, equal chords are equidistant from the centre.
2. The perpendicular from the centre to a chord:
Answer: A.
The perpendicular drawn from centre to a chord bisects it.
The perpendicular drawn from centre to a chord bisects it.
3. If a line from centre bisects a chord (not diameter), then it is:
Answer: B.
Converse: If a line from centre bisects a chord, it is perpendicular.
Converse: If a line from centre bisects a chord, it is perpendicular.
4. If two chords are equidistant from centre, they are:
Answer: B.
Chords equidistant from centre are equal.
Chords equidistant from centre are equal.
5. The longest chord of a circle is:
Answer: B.
Diameter passes through centre and is longest chord.
Diameter passes through centre and is longest chord.
6. The perpendicular distance from centre to equal chords is:
Answer: B.
Equal chords → equal distances.
Equal chords → equal distances.
7. If radius is drawn to midpoint of chord, angle formed is:
Answer: B.
Perpendicular from centre forms 90°.
Perpendicular from centre forms 90°.
8. If chord length increases, its distance from centre:
Answer: B.
Longer chord nearer to centre.
Longer chord nearer to centre.
9. Two unequal chords in circle are:
Answer: B.
Unequal chords → unequal distances.
Unequal chords → unequal distances.
10. Diameter is perpendicular to chord when:
Answer: A.
Diameter through midpoint is perpendicular.
Diameter through midpoint is perpendicular.
11. If two chords are equal, their midpoints lie:
Answer: A.
Equal chords theorem.
Equal chords theorem.
12. If perpendicular from centre to chord is 3 cm and radius 5 cm, half chord is:
Answer: A.
Using Pythagoras: 5²−3²=16 → 4 cm.
Using Pythagoras: 5²−3²=16 → 4 cm.
13. If two chords intersect inside circle, relation involves:
Answer: B.
Product of segments theorem.
Product of segments theorem.
14. A line from centre to chord forming 90° angle:
Answer: A.
Perpendicular bisects chord.
Perpendicular bisects chord.
15. If chords AB and CD are equal, then:
Answer: A.
Equal chords theorem.
Equal chords theorem.
16. The centre lies on:
Answer: A.
Centre lies on every diameter.
Centre lies on every diameter.
17. Greater the distance of chord from centre, chord is:
Answer: B.
Farther chord shorter.
Farther chord shorter.
18. Equal chords subtend:
Answer: A.
Equal chords subtend equal angles.
Equal chords subtend equal angles.
19. If two chords are parallel and equal, they are:
Answer: A.
Equal chords property.
Equal chords property.
20. The theorem about perpendicular from centre applies to:
Answer: B.
Applies to any chord except diameter case special.
Applies to any chord except diameter case special.
