18 सेमी व 8 सेमी त्रिज्या असलेली दोन वर्तुळे बाहेरून स्पर्श करत असतील, तर थेट समान स्पर्शरेषाची लांबी किती आहे?

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

Answer (Detailed Solution Below)

Option 1 : 24 सेमी 
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Detailed Solution

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दिलेल्याप्रमाणे:

18 सेमी व 8 सेमी त्रिज्या असलेली दोन वर्तुळे बाहेरून स्पर्श करतात

वापरलेली संकल्पना:

R1 आणि R2 त्रिज्याच्या दोन वर्तुळांनी बाहेरून स्पर्श केल्यास त्यांची थेट समान स्पर्शरेषा = 2√(R1 आणि R2)

गणना:

R1 = 18 सेमी 

R2 = 8 सेमी 

म्हणून, थेट समान स्पर्शरेषा = 2√(18 × 8)

⇒ 2√144

⇒ 2 × 12

⇒ 24 सेमी 

∴ थेट समान स्पर्शरेषाची लांबी 24 सेमी आहे.

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