8 செ.மீ ஆரம் கொண்ட இரண்டு சம வட்டங்கள் ஒன்றையொன்று வெட்டுகின்றன, அவை ஒவ்வொன்றும் மற்றொன்றின் மையத்தின் வழியாக செல்லும். பொதுவான நாண் நீளம்:

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

Answer (Detailed Solution Below)

Option 1 :
\(8\sqrt3\)  செ.மீ 
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Detailed Solution

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கொடுக்கப்பட்டது:

வட்டங்களின் ஆரம் 8 செ.மீ

கணக்கீடு:

F1 ArunK Madhuri 11.03.2022 D6

வரைபடத்தின் படி,

AD = DB

O1O2 = 8

மீண்டும் O1A = O2A = 8 [வட்டத்தின் ஆரம்]

∠ADO1 = 90°

O1D = O2D = 4

AD = √(64 - 16)

⇒ √48 = 4√3

AB = 2 × 4√3 = 8√3

∴ பொதுவான நாண் நீளம் 8√3 செ.மீ

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