Multiple choice

The distance between two parallel chords of length 24 cm. each in a circle of diameter 26 cm. is- 26 सेमी. व्यास वाले एक वृत्त में प्रत्येक 24 सेमी. लम्बी, दो समान्तर जीवाओं के बीच की दूरी कितनी होगी?

  1. 10 cm./सेमी.

  2. 16 cm./सेमी.

  3. 12 cm./सेमी.

  4. 14 cm./सेमी.

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A Correct answer
Explanation

For a chord of length L in a circle of radius R, the perpendicular distance from the center to the chord is √(R² - (L/2)²). Here, radius = 13 cm (half of diameter), chord length = 24 cm. Distance from center to each chord = √(13² - 12²) = √(169 - 144) = 5 cm. When chords are on opposite sides of the center (the standard case for such problems), the distance between them = 5 + 5 = 10 cm.