క్రింద ఇచ్చిన చిత్రంలో, AB ∶ BC = 4 ∶ 5 అయితే, AD ∶ AB నిష్పత్తిని కనుగొనండి.

F1 V.G D.K 10.08.2019 D7

  1. 2 1
  2. 3 2
  3. 4 3
  4. 5 4

Answer (Detailed Solution Below)

Option 2 : 3 2
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Detailed Solution

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ఇవ్వబడింది, AB ∶ BC = 4 5

BC = (5/4) × AB

AC = AB + BC

AC = AB + (5/4) × AB = (9/4) × AB

స్పర్శ రేఖ-ఖండన రేఖ సిద్ధాంతాన్ని వర్తింపజేయగా, స్పర్శరేఖ మరియు ఖండన రేఖ వంటి వాటికి,

⇒ AD2 = AB × AC

⇒ AD2 = (9/4) × AB2

⇒ AD/AB = √(9/4) = 3/2

∴ AD ∶ AB = 3 ∶ 2

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