8 सेमी त्रिज्येची दोन समान वर्तुळे एकमेकांना अशा प्रकारे छेदतात की प्रत्येक दुसर्याच्या मध्यभागी जाते. तर सामान्य जीवाची लांबी आहे:

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. \(8\sqrt3\) सेमी
  2. \(\sqrt 3\) सेमी
  3. \(2\sqrt3\) सेमी
  4. \(4\sqrt3\) सेमी

Answer (Detailed Solution Below)

Option 1 : \(8\sqrt3\) सेमी
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दिलेले आहे:

वर्तुळांची त्रिज्या 8 सेमी आहे

गणना:

F1 ArunK Madhuri 11.03.2022 D6

चित्रानुसार,

AD = DB

O1O2 = 8

पुन्हा O1A = O2A = 8 [वर्तुळाची त्रिज्या]

∠ADO1 = 90°

O1D = O2D = 4

AD = √(64 - 16)

⇒ √48 = 4√3

AB = 2 × 4√3 = 8√3

∴ सामान्य जीवाची लांबी 8√3 सेमी आहे

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