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18 సెం.మీ మరియు 8 సెం.మీ వ్యాసార్థం గల రెండు వృత్తాలు బాహ్యంగా తాకినట్లయితే, ప్రత్యక్ష సాధారణ స్పర్శరేఖ యొక్క పొడవు:

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SSC CGL 2022 Tier-I Official Paper (Held On : 12 Dec 2022 Shift 3)
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  1. 24 సెం.మీ
  2. 14 సెం.మీ
  3. 16 సెం.మీ
  4. 12 సెం.మీ

Answer (Detailed Solution Below)

Option 1 : 24 సెం.మీ
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ఇచ్చినది:

18 సెం.మీ మరియు 8 సెం.మీ వ్యాసార్థం గల రెండు వృత్తాలు బాహ్యంగా తాకుతాయి

ఉపయోగించిన భావన:

వ్యాసార్థం R1 మరియు R2 గల రెండు వృత్తాలు బాహ్యంగా తాకినట్లయితే, వాటి ప్రత్యక్ష సాధారణ స్పర్శరేఖ = 2√(R1 మరియు R2)

లెక్కింపు:

R1 = 18 సెం.మీ

R2 = 8 సెం.మీ

కాబట్టి, ప్రత్యక్ష సాధారణ స్పర్శరేఖ = 2√(18 × 8)

⇒ 2√144

⇒ 2 × 12

⇒ 24 సెం.మీ

∴ ప్రత్యక్ష సాధారణ స్పర్శరేఖ యొక్క పొడవు 24 సెం.మీ.

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Last updated on Jun 25, 2025

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

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

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