Q1
The perpendicular from the centre to a chord:
Abisects the chord
Bdoubles the chord's length
Chas no relation to the chord
Dis always equal to the radius
CBSEClass 9 (CBSE)MathematicsCh 9 · Topic 1
Circles - Basic Terms and Properties
Learning basic terms and the relationship between chords and the centre.
Core concept
Another important property states that the perpendicular drawn from the centre of a circle to any chord always bisects that chord exactly at its midpoint — this relationship is frequently used to solve problems involving chord lengths and their distance from the centre, using the Pythagoras theorem within the right triangle formed by the radius, half-chord, and perpendicular distance. These foundational circle properties support more advanced circle theorems studied in higher classes.
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• Circle terms: centre, radius, chord, diameter (longest chord), arc.
• Equal chords of a circle are equidistant from the centre.
• The perpendicular from the centre to a chord always bisects the chord.
• These properties combine with the Pythagoras theorem to solve chord-related problems.