दो संकेंद्रित वृत्तों की त्रिज्याएँ 10 सेमी और 6 सेमी हैं। बड़े वृत्त की उस जीवा की लंबाई ज्ञात कीजिए जो छोटे वृत्त को स्पर्श करती है।

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SSC CGL 2023 Tier-I Official Paper (Held On: 14 Jul 2023 Shift 1)
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  1. 8 सेमी
  2. 16 सेमी
  3. 12 सेमी
  4. 9 सेमी

Answer (Detailed Solution Below)

Option 2 : 16 सेमी
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
25 Qs. 50 Marks 12 Mins

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गणना

किसी भी जीवा का लंब समद्विभाजक वृत्त के केंद्र से होकर गुजरता है,

OP ⊥ AB

OPB में, ∠OPB = 900

PB2 = OB2 – OP2

⇒ PB2 = 102 – 62

⇒ PB2 = 64

⇒ PB2 = 82

⇒ PB = 8 सेमी 

OP, AB को समद्विभाजित करता है

⇒ AP = PB = 8 सेमी 

∴ AB = AP + PB = 8 + 8 = 16 सेमी 

AB की लंबाई 16 सेमी है।

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