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KVPY2016MathematicsStraight Lines

In a circle with centre O , suppose A, P, B are three points on its circumference such that P is the mid-point of minor arc AB . Suppose when AOB = , area ( AOB ) area ( APB ) = 5 +2 If AOB is doubled to 2 , then the ratio area ( AOB ) area ( APB ) is -

Options

  1. A1 5
  2. B5 -2
  3. C2 3 +3
  4. D5 -1 2

Correct answer

A. 1 5

Step-by-step solution

( AOB ) APB =2+ 5 2 1- 2 =2+ 5 2 = 1+ 5 4 So = 5 -1 4 If 2 AOB APB = 1- = 1 5

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