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From the diagram given below, if for two chords AB and CD, AB = CD, which of the following is true?

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in Mathematics - Class 9 by (679k points)
From the diagram given below, if for two chords AB and CD, AB = CD, which of the following is true?

(a) OM < ON

(b) OM > ON

(c) OM = ON

(d) OM ≠ ON

I got this question in my homework.

Question is from Circles through Three Points in portion Circles of Mathematics – Class 9

1 Answer

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Right answer is (c) OM = ON

Explanation: According to theorem 10.6, equal chords of a circle are equidistant from the centre.

OM and on are the distance from the centre and chords AB = CD (given).

Hence, OM = ON

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