दी गई आकृति का अवलोकन कीजिए। दोनों केन्द्रों के बीच की दूरी AB ज्ञात कीजिए।

F1 SSC Arbaz 6-10-23 D17

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 4)
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  1. 10 सेमी
  2. 11 सेमी
  3. 13 सेमी
  4. 12 सेमी

Answer (Detailed Solution Below)

Option 3 : 13 सेमी
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Detailed Solution

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प्रयुक्त सूत्र:

सीधी उभयनिष्ठ स्पर्श रेखा = √ (दोनों केन्द्रों के बीच की दूरी2 - (r 1 - r 2)2

गणना:

दोनों केन्द्रों के बीच की दूरी = d सेमी

सूत्र के अनुसार,

12 = √ (d2 - ( 8  - 3)2.

⇒ 144 = d2 - 25

⇒ d2 = 169

⇒ d = 13

∴ सही विकल्प 3 है।

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