Which of the following is/are correct?

The perpendicular drawn from the centre of the circle to a chord bisects the chord.

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Congruent arcs of a circle subtend equal angles at the centre.

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Congruent arcs of a circle subtend right angles at the centre.

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Chords equidistant from the centre of a circle are equal in length.

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Solution

The correct options are
A The perpendicular drawn from the centre of the circle to a chord bisects the chord.
B Congruent arcs of a circle subtend equal angles at the centre.
D Chords equidistant from the centre of a circle are equal in length.

(i) A perpendicular drawn from the centre of the circle acts as a perpendicular bisector to the chord.

(ii) Congruent arcs of a circle subtend equal angles at the centre. These angles are equal but not always a right angle. A right angle is subtended only when the arc is a semicircle.

(iii) Right angles will be subtended by congruent arcs only when they are semicircles.

(iv) If two chords are drawn at a same distance from the centre of a circle, they will be equal in length.

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