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.

Only statement 1 is true.

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Only statement 2 is true.

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Neither of the statements are true.

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Both the statements are true.

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Solution

The correct option is D Both the statements are true.

Option (c) is the correct option.

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Similar questions

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.

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

Read the following statements and choose the correct option:
Assertion: If $P$ and $Q$ are any two points on a circle, then the line segment $P Q$ is called a chord of the circle.
Reason : Equal chords of a circle subtend equal angles at the centre.

Q. Prove that equal chords subtend equal angles at the centre of the circle.

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 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.

The correct option is D Both the statements are true. Option (c) is the correct option.

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.

The correct option is D Both the statements are true.

Option (c) is the correct option.