Question
Download Solution PDFनीचे दी गई आकृति में, यदि AB ∶ BC = 4 : 5 है, तो AD : AB अनुपात ज्ञात कीजिए
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है, AB ∶ BC = 4 ∶ 5
⇒ BC = (5/4) × AB
∵ AC = AB + BC
⇒ AC = AB + (5/4) × AB = (9/4) × AB
स्पर्श रेखा-कोटिज्या प्रमेय के अनुसार, स्पर्शरेखा और कोटिज्या निम्न प्रकार सबंधित होते हैं,
⇒ AD2 = AB × AC
⇒ AD2 = (9/4) × AB2
⇒ AD / AB = √(9/4) = 3/2
∴ AD = AB = 3 ∶ 2Last updated on Jun 18, 2025
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