Question
Download Solution PDFनीचे दिए गए वृत्त में, जीवा AB को D पर स्पर्शरेखा DC से मिलाने के लिए बढ़ाया जाता है। यदि AB = 12 सेमी और DC = 8 सेमी हो, तो BD की लंबाई ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFजीवा स्पर्शरेखा प्रमेय के अनुसार,
⇒ CD2 = AD × BD
⇒ 8 × 8 = (12 + BD) × BD
⇒ 12BD + BD2 = 64
⇒ BD2 + 16BD – 4BD – 64 = 0
⇒ BD(BD + 16) – 4(BD + 16) = 0
∴ BD = 4 सेमीLast updated on Jul 21, 2025
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