16 सेमी आणि 8 सेमी त्रिज्या असलेल्या दोन वर्तुळांच्या केंद्रांमधील अंतर 26 सेमी आहे. दोन वर्तुळांच्या थेट सामाईक स्पर्शिकेची लांबी (सेमी मध्ये) आहे:

This question was previously asked in
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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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
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Detailed Solution

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दिले आहे:

मोठ्या वर्तुळाची त्रिज्या (R) = 16 सेमी

लहान वर्तुळाची त्रिज्या (r) = 8 सेमी

केंद्रातील अंतर (D) = 26 सेमी

वापरलेले सूत्र:

सरळ सामान्य स्पर्शिका = √{D2 - (R - r)2}

गणना:

सरळ सामान्य स्पर्शिका = √{D2 - (R - r)2}

⇒ √{262 - (16 - 8)2}

⇒ √{676 - 64} = √612 = 2 × √153

∴ योग्य उत्तर 2√153 आहे.

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