Question
Download Solution PDFसमान त्रिज्या 6 सेमी के दो वृत्त एक दूसरे को P और Q पर काटते हैं। यदि PQ = 10 सेमी है, तो दोनों वृत्तों के केंद्रों के बीच की दूरी कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
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दी गई छवि के अनुसार, O1 और O2 दोनों वृत्तों के केंद्र हैं।
केन्द्रों O1O2 से जुड़ने वाली रेखा, PQ को R पर समद्विभाजित करती है।
इसलिए, ΔPRO1 एक समकोण त्रिभुज है, जो ∠R पर समकोण है।
पाइथागोरस प्रमेय से,
O1R = √(62 - 52)
⇒ O1R = √11
अब, O1 और O2 के बीच की दूरी = 2 × O1R = 2√11 सेमी
∴ सही उत्तर 2√11 है।
Last updated on Jun 13, 2025
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