Multiple choice

Two parallel chords of a circle whose diameter is 13 m. are respectively 5m and 12 m in length If both the chords are on the same side of the diameter, then the distance between these chords is- एक वृत्त जिसका व्यास 13 सेमी. है की दो समान्तर जीवाओं की लम्बाई क्रमशः 5 सेमी. और 12 सेमी. है। यदि दोनों जीवाएं व्यास के एक ही तरफ हों, तो इन जीवाओं के बीच की दूरी है-

  1. 5.5

  2. 5

  3. 3.5

  4. 3
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Radius r = 6.5m. Distance from center to chord with length L is d = √(r²-(L/2)²). For L=5: d₁ = √(42.25-6.25) = 6m. For L=12: d₂ = √(42.25-36) = 2.5m. Both chords same side, so gap = 6-2.5 = 3.5m. Option D (3) forgets 0.5, B (5) is miscalculation, A (5.5) adds instead of subtracts.

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