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Questions and Answers
What is the locus of all points in a plane which are equidistant from a fixed point?
What is the locus of all points in a plane which are equidistant from a fixed point?
- Circumference
- Circle (correct)
- Tangent
- Chord
What is the largest chord which passes through the centre of the circle?
What is the largest chord which passes through the centre of the circle?
- Diameter (correct)
- Radius
- Tangent
- Circumference
What is perpendicular to the radius at any point of a circle, through the point of contact?
What is perpendicular to the radius at any point of a circle, through the point of contact?
- Diameter
- Tangent (correct)
- Circumference
- Chord
What is a line segment that joins any two points on the circle’s circumference?
What is a line segment that joins any two points on the circle’s circumference?
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According to the circle theorem, what do two equal chords of a circle subtend at the centre of the circle?
According to the circle theorem, what do two equal chords of a circle subtend at the centre of the circle?
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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.
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