Question
Download Solution PDFनीचे दिए गए वृत्त में, जीवा \(\overline {AB}\) को बिंदु D पर स्पर्शरेखा \(\overline {DE}\) से मिलाने के लिए बढ़ाया जाता है। यदि \(\overline {AB}\) = 9 सेमी और \(\overline {BD}\) = 3 सेमी है, \(\overline {DE}\) की लम्बाई ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
AB = 9 cm
BD = 3cm
प्रयुक्त अवधारणा:
यदि DBA वृत्त की प्रतिच्छेदी रेखा है जो वृत्त को A और B पर प्रतिच्छेद करती है और DE एक स्पर्श रेखा है, तो
DE2 = AD × BD
गणना:
प्रश्न के अनुसार,
DE2 = AD × BD
⇒ DE2 = (AB + BD) × BD
⇒ DE2 = (9 + 3) × 3
⇒ DE2 = 36
⇒ DE = 6
∴ DE की लम्बाई = 6 सेमीLast updated on Jul 17, 2025
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