Multiple choice

The radius of two concentric circles are 6 cm and 10 cm. If the chord of the greater circles be a tangent to the smaller circle, then the length of that chord is - दो संकेद्रीय वृत्तों की त्रिज्यायें 6 सेमी और 10 सेमी है। यदि बड़े वृत्त की जीवा, छोटे वृत्त की स्पर्श रेखा है तो उस जीवा की लम्बाई है -

  1. 12 cm./सेमी.

  2. 13 cm./सेमी.

  3. 16 cm./सेमी.

  4. 17 cm./सेमी.
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C Correct answer
Explanation

The perpendicular from the center to the chord bisects it and passes through the point of tangency. Using Pythagoras theorem: half the chord length = sqrt(radius of larger circle^2 - radius of smaller circle^2) = sqrt(100 - 36) = sqrt(64) = 8 cm. Therefore, the full chord length is 16 cm.

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