Multiple choice

The length of two parallel chords of a circle are 6 cm. and 8 cm. If the smaller chord is at a distance of 4 cm. from the centre, the distance of the other chord from the centre is - एक वृत्त की दो समांतर जीवाएं 6 सेमी. तथा 8 सेमी. लम्बी है। यदि उनमें छोटी जीवा केंद्र से 4 सेमी. की दूरी पर हो तो अन्य जीवा की केंद्र से दूरी कितनी होगी?

  1. 5 cm./सेमी.

  2. 6 cm./सेमी.

  3. 4 cm./सेमी.

  4. 3 cm./सेमी.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For a chord of length L at distance d from the center: (L/2)² + d² = R². For the 6 cm chord at 4 cm: 3² + 4² = R², so R² = 25. For the 8 cm chord: 4² + d² = 25, giving d² = 9 and d = 3 cm. Option A (5 cm) incorrectly uses the radius itself. The larger chord is closer to the center.

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