PT एक वृत्त की स्पर्शरेखा है जिसका केंद्र O है और जहाँ T वृत्त पर एक बिंदु है। यदि PT = 12 cm और PO = 13 cm है, तो वृत्त की त्रिज्या ज्ञात कीजिए।

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 1)
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  1. 4 cm
  2. 6 cm
  3. 4.5 cm
  4. 5 cm

Answer (Detailed Solution Below)

Option 4 : 5 cm
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दिया गया:

PT एक वृत्त की स्पर्श रेखा है जिसका केंद्र O है, तथा जहाँ T वृत्त पर एक बिंदु है।

PT = 12 सेमी और PO = 13 सेमी

प्रयुक्त अवधारणा:

त्रिज्या = √(PO2 - PT2)

गणना:

त्रिज्या (r) = √(PO2 - PT2)

⇒ r = √(132 - 122

⇒ r = √(169 - 144) 

⇒ r = √25 = 5 cm

∴ सही विकल्प 4 है

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