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In the following questions, two statements numbered I and II are given. On solving them we get two quantities: Quantity I and Quantity II respectively. Solve for both the quantities and choose the correct option. (O is the centre of the circle)
Quantity I: Perimeter of ∆BDO
Quantity II: AB + BC
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < quantity="" />
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or the relation cannot be determined.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the following questions, two statements numbered I and II are give...
'O' is the centre, hence AB is a diameter and ∠ACB is an angle in a semicircle.
x = 90°
∠BOD = 180 - x = 90°
OB = OD = Radius.
OB = 3 cm
BD2 = OB2 + OD2 = 32 + 32
=> BD = √18 cm
Perimeter of ∆BOD = 3 + 3 + 3√2 = 6 + √18 cm.
In ∆ABC,
AB = 2*3 = 6 cm.
BC2 = AB2 - AC2 = 62 - 42 = 20 cm
BC = √20 cm
∴ AB + BC = 6 + √20 > 6 + √18 (Perimeter of ∆BOD)
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In the following questions, two statements numbered I and II are given. On solving them we get two quantities: Quantity I and Quantity II respectively. Solve for both the quantities and choose the correct option. (O is the centre of the circle)Quantity I: Perimeter of ∆BDOQuantity II: AB + BCa)Quantity I > Quantity IIb)Quantity I c)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or the relation cannot be determined.Correct answer is option 'B'. Can you explain this answer?
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