खालील आकृतीत, O हे वर्तुळाचे केंद्र आहे. त्याच्या दोन जीवा AB आणि CD एकमेकांना वर्तुळाच्या आत बिंदू P वर छेदतात. जर AB = 18 सेमी, PB = 6 सेमी आणि CP = 4 सेमी, तर PD चे माप काढा.

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 1)
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  1. 14 सेमी
  2. 18 सेमी
  3. 16 सेमी
  4. 20 सेमी

Answer (Detailed Solution Below)

Option 2 : 18 सेमी
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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दिलेल्याप्रमाणे:-

AB आणि CD या दोन जीवा एकमेकांना बिंदू P वर छेदतात.

AB = 18 सेमी, PB = 6 सेमी, आणि CP = 4 सेमी

वापरलेले सूत्र:-

जर दोन जीवा AB आणि CD एकमेकांना वर्तुळाच्या आत बिंदू P वर छेदतात,
नंतर AP × PB = CP × PD

गणना:-

AP = AB - PB

⇒ AP = 18 - 6 = 12 सेमी

सूत्रानुसार

AP × PB = CP × PD

⇒ 12 × 6 = 4 × PD

⇒ PD = 72/4

∴ आवश्यक उत्तर 18 आहे.

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