आकृति में, O वृत्त का केंद्र है। इसकी दो जीवाएँ AB और CD एक दूसरे को वृत्त के भीतर बिंदु P पर प्रतिच्छेद करती हैं। यदि AB = 20 सेमी, PB = 12 सेमी और CP = 8 सेमी है, तो PD की माप ज्ञात कीजिए।

F1 SSC Amit A 09-03-2023 D16

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 3)
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  1. 12 सेमी
  2. 11 सेमी
  3. 22 सेमी
  4. 14 सेमी

Answer (Detailed Solution Below)

Option 1 : 12 सेमी
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Detailed Solution

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दिया गया है:

AB = 20 सेमी, PB = 12 सेमी और CP = 8 सेमी

प्रयुक्त अवधारणा:

यदि दो जीवाएँ एक वृत्त के अंदर प्रतिच्छेद करती हैं, तो जीवाओं के खंडों के मापों का गुणनफल बराबर होता है।

F1 SSC Amit A 09-03-2023 D17

AE × EC = DE × EB

गणना:

 F4 Savita SSC 6-6-23 D1 V2

अवधारणा के अनुसार,

AP × PB = CP × PD

⇒ (AB - PB) × 12 = 8 × PD

⇒ (20 - 12) × 12 = 8 × PD

⇒ 8× 12 = 8 × PD

⇒ PD = 12

∴ PD का माप 12 सेमी है।

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