Multiple choice

The distance between the centres of two circles with radii 9 cm. and 16 cm. is 25 cm. The length of the segment of the tangent between them is - दो वृत्त, जिनकी त्रिज्या 9 सेमी. और 16 सेमी. है, के केन्द्रों के बीच की दूरी 25 सेमी. है। उनके बीच स्पर्श रेखा खण्ड की लम्बाई ज्ञात कीजिए।

  1. 12 cm/सेमी

  2. 18 cm/सेमी

  3. 24 cm/सेमी

  4. 21 cm/सेमी

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For two circles with radii 9 cm and 16 cm, and center distance 25 cm, the length of the common external tangent is √(d² - (r₁ - r₂)²) = √(25² - (16-9)²) = √(625 - 49) = √576 = 24 cm. 12 and 18 are incorrect calculations, while 21 doesn't match the formula result.