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Q.

Equal chords of a circle subtend equal angles at

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a

the centre

b

any interior point

c

any exterior point

d

any point of a diameter

answer is A.

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Detailed Solution

We know,
A circle is a collection of points whose every point is equidistant from the centre.
Thus, two circles can only be congruent when the distance of every point of the both circles is equal from the centre.
Equal chords of a circle are equidistant from its center. So, equal chords of a circle subtend equal angles at the centre.
Therefore, equal chords of a circle subtend equal angles at the centre. Hence, option (1) is correct.

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