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వ్యాసార్థం 16 సెం.మీ మరియు 8 సెం.మీ ఉన్న రెండు వృత్తాల కేంద్రాల మధ్య దూరం 26 సెం.మీ. రెండు వృత్తాల యొక్క ప్రత్యక్ష సాధారణ స్పర్శరేఖ యొక్క పొడవు (సెం.మీ.లో):

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. \(2\sqrt{132}\)
  2. \(\sqrt{153}\)
  3. \(2\sqrt{153}\)
  4. \(\sqrt{132}\)

Answer (Detailed Solution Below)

Option 3 : \(2\sqrt{153}\)
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Detailed Solution

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ఇచ్చిన సమస్య:-
 
పెద్ద వృత్తం యొక్క వ్యాసార్థం (R) = 16 సెం.మీ
 
చిన్న వృత్తం యొక్క వ్యాసార్థం (r) = 8 సెం.మీ
 
మధ్య దూరం (D) = 26 సెం.మీ
 
ఉపయోగించిన సూత్రం:
 
ప్రత్యక్ష సాధారణ స్పర్శరేఖ = √{D2 - (R - r)2}
 
సాధన:
 
ప్రత్యక్ష సాధారణ స్పర్శరేఖ = √{D2 - (R - r)2}
 
⇒ √{262 - (16 - 8)2}
 
⇒ √{676 - 64} = √612 = 2 × √153
 
∴ సరైన సమాధానం 2√153.
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Latest SSC CGL Updates

Last updated on Jun 11, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The UPSC Prelims Result 2025 and UPSC IFS Result 2025 has been released @upsc.gov.in

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

->  The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

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