Multiple choice

SR is a direct common tangent to the circles of radii 8 cm and 3 cm respectively, their centres being 13 cm apart. If the points S and R are the respective points of intersect, then the length of SR is SR क्रमशः 8 सेमी और 3 सेमी त्रिज्या वाले वृत्तों एक एक सीधी उभयनिष्ठ स्पर्श रेखा है, उनके केंद्र एक दूसरे से 13 सेमी दूरी पर हैं । यदि बिन्दु S और R क्रमशः प्रतिछेद बिन्दु हैं, तो SR की लम्बाई है

  1. 12 cm./सेमी.

  2. 11 cm./सेमी.

  3. 17 cm./सेमी.

  4. 10 cm./सेमी.
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A Correct answer
Explanation

For direct common tangent to circles with radii r₁=8, r₂=3 and center distance d=13, use SR² = d² - (r₁-r₂)². SR² = 13² - (8-3)² = 169 - 25 = 144. Therefore SR = √144 = 12 cm.

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