Question
Download Solution PDFसमान त्रिज्या 6 सेमीची दोन वर्तुळे, एकमेकांना P आणि Q वर छेदतात. जर PQ = 10 सेमी, तर दोन वर्तुळांच्या केंद्रांमधील अंतर किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना:
दिलेल्या चित्रानुसार, O1 आणि O2 ही दोन वर्तुळांची केंद्रे आहेत,
O1O2 केंद्रांना जोडणारी रेषा PQ ला R येथे दुभाजक करते
तर, ΔPRO1 हा काटकोन त्रिकोण आहे, ∠R वर काटकोन आहे
पायथागोरस प्रमेय पासून,
O1R = √(62 - 52)
⇒ O1R = √11
आता, O1 आणि O2 मधील अंतर 2 × O1R आहे = 2√11 सेमी
∴ योग्य उत्तर 2√11 सेमी आहे.
Last updated on Jun 13, 2025
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