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Mathematics

Assertion (A): Equal chords of a circle are equidistant from centre.

Reason (R): Chords of a circle that are equidistant from the centre of a circle are equal.

  1. Assertion (A) is true, Reason (R) is false.

  2. Assertion (A) is false, Reason (R) is true.

  3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

  4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Circles

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Answer

We know that,

Chords of equal length are equidistant from centre.

∴ Assertion (A) is true.

Also,

The chords which are equidistant from the centre of a circle are equal in length.

∴ Reason (R) is true.

Assertion is just the converse of reason.

∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

Hence, option 3 is the correct option.

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