Two parallel chords of a circle of diameter 20 cm are 12 cm and 16 cm long. If the chords are in the same side of the centre, then the distance between them is एक 20 सेमी. व्यास वाले वृत्त में दो समान्तर जीवायें क्रमशः 12 सेमी. और 16 सेमी. हैं | यदि जीवायें केंद्र के एक ही तरफ स्थित हैं, तो उनके बीच की दूरी है
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28 cm./सेमी.
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2 cm./सेमी.
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4 cm./सेमी.
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8 cm./सेमी.
B
Correct answer
Explanation
For a circle of diameter 20 cm, radius = 10 cm. For chord of length 12 cm: distance from center = √(10² - 6²) = √(100 - 36) = √64 = 8 cm. For chord of length 16 cm: distance from center = √(10² - 8²) = √(100 - 64) = √36 = 6 cm. Since chords are on same side of center, distance between them = 8 - 6 = 2 cm. Verify: Both distances are less than radius (10 cm), so chords exist and are on same side ✓.