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Equal Chords Are at Equal Distances from the Center

If chords 𝐴�...

Question

If chords 𝐴𝐵 and 𝐶𝐷 subtend angles at the centre 𝑂 of the circle such that ∠𝐴𝑂𝐵 = ∠𝐶𝑂𝐷, then:

A

A B = C D

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B

A B > C D

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C

A B < C D

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Solution

The correct option is A $A B = C D$
Option (a) is the correct option.

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Similar questions

Q. If chords 𝐴𝐵 and 𝐶𝐷 subtend angles at the centre 𝑂 such that 𝐴𝐵 = 𝐶𝐷, then:

Q. Consider the following statements and choose the right option.

Statement 1: Two equal chords of a circle will subtend equal angles at the centre of the circle

Statement 2: If two chords of a circle subtend equal angles at the centre, then the two chords are equal in length.

Q. Consider the following statements and choose the right option.

Statement 1: Two equal chords of a circle will not subtend equal angles at the centre if they are not parallel.

Statement 2: If two chords of a circle subtend equal angles at the centre, then the two chords are equal in length.

Q. If chords AB and CD subtend angles at the centre O such that AB = CD, then:

Q. If 𝐴𝐵 and 𝐴𝐶 are two chords of a circle with centre 𝑂, then can we conclude that ∠𝐴𝑂𝐵 = ∠𝐴𝑂𝐶?

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