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.

Both the statements are true.

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Neither of the statements are true

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Only statement 1 is true.

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Only statement 2 is true.

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Solution

The correct option is D Only statement 2 is true.
Option (b) is the correct option.

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Similar questions

Q. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

Question 1
Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.

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.

If the two chords in a circle are equal, then the angle it subtends at the centre are equal

If the two chords in a circle are equal, then the angles they subtend at the centre are the same.

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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.

The correct option is D Only statement 2 is true.Option (b) is the correct option.

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.

The correct option is D Only statement 2 is true.
Option (b) is the correct option.