ஒரு ∆ABC இல், ∠CAB இன் இருசமவெட்டி BC ஐ D இல் வெட்டுகிறது மற்றும் ∆ABC இன் சுற்றுவட்டம் E இல் வெட்டுகிறது. AC : AE = 4 : 7 எனில், AD : AB இன் விகிதம் என்னவாக இருக்கும்?

  1. 7 : 4
  2. 5 : 4
  3. 4 : 7
  4. 3 : 2

Answer (Detailed Solution Below)

Option 3 : 4 : 7
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F1 P.S Pallavi 28.11.19 D 11

AE என்பது ∠CAB இன் கோண இருசமவெட்டி ஆகும்.

⇒ ∠EAB = ∠CAE

மேலும் ∠CBA = ∠CEA (வட்டத்தில் நாண் AC மூலம் கோண எதிரமைத்தல்)

⇒ ∆AEC ~ ∆ABD

⇒ AC/AE = AD/AB = 4/7

⇒ AD : AB = 4 : 7

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