Question
Download Solution PDFIn the figure given below, if AB ∶ BC = 4 ∶ 5, then find the ratio AD ∶ AB.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven, AB ∶ BC = 4 ∶ 5
⇒ BC = (5/4) × AB
∵ AC = AB + BC
⇒ AC = AB + (5/4) × AB = (9/4) × AB
Applying the tangent-secant theorem, the tangent and the secant are related as,
⇒ 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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