Class 9 • Maths • Chapter 9
CIRCLES
True & False Quiz
Chord. Arc. Inscribed Angle.
✓True
✗False
25
Questions
|
Ch.9
Chapter
|
IX
Class
Why True & False for CIRCLES?
How this format sharpens your conceptual clarity
🔵 Circle theorems are the most proof-intensive section of Class IX geometry — chord, arc, and angle relationships appear in CBSE Board questions every year.
✅ T/F targets the equal chord-equal arc theorem, perpendicular bisector of chord, and the inscribed angle theorem.
🎯 The angle subtended by an arc at the centre is DOUBLE the angle subtended at any point on the remaining part of the circle.
📋
Read each statement carefully. Click True or False — instant feedback with explanation appears. Submit anytime; unattempted questions are marked Skipped.
Q 1
The diameter of a circle is the longest chord in that circle.
Q 2
There can be only a finite number of equal chords in a circle.
Q 3
Every radius of a circle is also a diameter.
Q 4
Equal chords of a circle subtend equal angles at the center.
Q 5
The region between a chord and its corresponding arc is called a sector.
Q 6
The perpendicular from the center of a circle to a chord always bisects the chord.
Q 7
Every chord of a circle passes through the center.
Q 8
The center of a circle always lies in its interior.
Q 9
The circumference of a circle is its boundary.
Q 10
If two chords of a circle are equidistant from the center, then they are equal in length.
Q 11
There is only one circle passing through three non-collinear points.
Q 12
Angles subtended by the same chord at the center are always equal.
Q 13
The angle subtended by an arc at the center is double the angle it subtends at the remaining part of the circle.
Q 14
All points on a circle are at different distances from the center.
Q 15
The sum of either pair of opposite angles of a cyclic quadrilateral is 180°.
Q 16
The angle in a semicircle is always a right angle.
Q 17
Congruent arcs of a circle always have equal chords.
Q 18
If a line divides a chord into two equal parts, it must be perpendicular to the chord.
Q 19
If two circles intersect, they can have at most two points of intersection.
Q 20
A tangent can intersect a circle at more than one point.
Q 21
The locus of all points in a plane at a fixed distance from a given point is a circle.
Q 22
The area between two concentric circles forms an annulus.
Q 23
All radii of a circle are not equal.
Q 24
If equal chords of a circle are extended to meet at a point outside the circle, the segments outside the circle are always equal.
Q 25
The arc is a part of the circumference of a circle.
Key Takeaways — CIRCLES
Core facts for CBSE Boards & exams
1
Equal chords of a circle (or congruent circles) subtend equal angles at the centre.
2
The perpendicular from the centre to a chord BISECTS the chord.
3
There is one and only one circle passing through three non-collinear points.
4
Equal chords are equidistant from the centre; chords equidistant from centre are equal.
5
Angle subtended by an arc at the centre = double the angle subtended at any point on the remaining arc.
6
Angles in the same segment of a circle are equal.