Mathematics

Assertion (A): In the figure, AB and AC are equal chords of a circle with centre O. If OD = 4 cm, then OE is also 4 cm.

Reason (R): Equal chords of a circle are equidistant from the centre.

  1. A is true, R is false

  2. A is false, R is true

  3. Both A and R are true

  4. Both A and R are false

In the figure, AB and AC are equal chords of a circle with centre O. If OD = 4 cm, then OE is also 4 cm. Chord Properties of a Circle, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

Circles

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Answer

We know that,

Equal chords of a circle are equidistant from the centre.

Reason (R) is true.

Since, AB = AC [Chords of circle are equal]

∴ OD = OE = 4 cm

Assertion (A) is true.

Both A and R are true.

Hence, option 3 is the correct option.

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