5 Questions
What is the locus of all points in a plane which are equidistant from a fixed point?
Circle
What is the largest chord which passes through the centre of the circle?
Diameter
What is perpendicular to the radius at any point of a circle, through the point of contact?
Tangent
What is a line segment that joins any two points on the circle’s circumference?
Chord
According to the circle theorem, what do two equal chords of a circle subtend at the centre of the circle?
Equal angles
Study Notes
Circle Properties
- The locus of all points in a plane which are equidistant from a fixed point is a circle.
- The largest chord which passes through the centre of the circle is a diameter.
- The line perpendicular to the radius at any point of a circle, through the point of contact, is a tangent.
- A line segment that joins any two points on the circle's circumference is a chord.
- According to the circle theorem, two equal chords of a circle subtend equal angles at the centre of the circle.
Test your knowledge of circle theorems with this interactive quiz. Explore concepts such as tangents, sectors, angles, and chords of a circle, and challenge yourself with proofs. Perfect for students in Class 9 and 10 looking to master circle theorem concepts.
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