8 సెంటీమీటర్ల వ్యాసార్థం యొక్క రెండు సమాన వృత్తాలు ఒకదానికొకటి కేంద్రం వద్ద ఖండిస్తాయి. సాధారణ సరళరేఖ యొక్క పొడవు:

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 4)
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  1. సెం.మీ
  2. సెం.మీ
  3. సెం.మీ
  4. సెం.మీ

Answer (Detailed Solution Below)

Option 1 : సెం.మీ
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
25 Qs. 50 Marks 12 Mins

Detailed Solution

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ఇచ్చినది:

వృత్తాల వ్యాసార్థం 8 సెం.మీ

లెక్కింపు:

రేఖాచిత్రం ప్రకారం,

AD = DB

O1 O2 = 8

మళ్ళీ O1 A = O2 A = 8 [వృత్తం యొక్క వ్యాసార్థం]

∠ADO1 = 90°

O1 D = O2 D = 4

AD = √(64 - 16)

⇒ √48 = 4√3

AB = 2 × 4√3 = 8√3

∴ సాధారణ తీగ యొక్క పొడవు 8√3 సెం.మీ

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