Multiple choice

AB and CD are two parallel chords on the opposite sides of the centre of the circle. If AB = 10 cm., CD = 24 cm. and radius of the circle is 13 cm., the distance between the chords is-

  1. 15 cm.

  2. 16 cm.

  3. 17 cm.

  4. 18 cm.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For chord AB (10 cm) at distance d1 from center: sqrt(13²-5²)=12 cm. For chord CD (24 cm) at distance d2: sqrt(13²-12²)=5 cm. Since chords are on opposite sides of center, distance between them = 12+5 = 17 cm.

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