Multiple choice

If radii of two circles are respectively 11 cm and 13 cm and length of transverse common tangent to the two circle is 7 cm, then what is the distance between centres of the two circles? यदि दो वृत्तों की त्रिज्याएं क्रमशः 11 सेमी. और 13 सेमी. है और दोनों वृत्तों की उभयनिष्ठ अनुप्रस्थ स्पर्श रेखा 7 सेमी. है, तो दोनों वृत्तों के केन्द्रों के बीच की दूरी क्या है?

  1. 24 cm/सेमी

  2. 25 cm/सेमी

  3. 27cm/सेमी

  4. 30 cm/सेमी
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For transverse common tangent of length 7 between circles with radii 11 and 13, the distance between centers d satisfies: d² = (r1 + r2)² + (transverse tangent)² = (11 + 13)² + 7² = 24² + 7² = 576 + 49 = 625, so d = 25. Option B is correct.

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