Multiple choice

AB and CD are two parallel chords on the opposite sides of the circle, if AB = 10 cm CD =24 cm and the radius of the circle is 13 cm. The distance between the chords is? एक वृत्त के केन्द्र के विपरीत जीवायें AB और CD है। यदि AB =10 सेमी. CD = 24 सेमी. और वृत्त की त्रिज्या 13 सेमी. है तो जीवाओं के बीच दूरी क्या होगी ?

  1. 14 cm

  2. 15 cm

  3. 16 cm

  4. 17 cm
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D Correct answer
Explanation

For chord AB = 10 cm in a circle of radius 13 cm: distance from center d1 = √(13² - 5²) = √(169 - 25) = √144 = 12 cm. For chord CD = 24 cm: distance from center d2 = √(13² - 12²) = √(169 - 144) = √25 = 5 cm. Since chords are on opposite sides of center, total distance = d1 + d2 = 12 + 5 = 17 cm.

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