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If a point A x , y lies in the region bounded by the y -axis, straight lines 2 y + x = 6 and 5 x - 6 y = 30 , then the probability that y < 1 is

Options

  1. A1 6
  2. B5 6
  3. C2 3
  4. D6 7

Correct answer

B. 5 6

Step-by-step solution

Plotting the diagram of the given straight line we get, Now by diagram, required probability = ar A D E C ar A B C = 1 - ar B D E ar A B C = 1 - 1 2 × 2 × 4 1 2 × 8 × 6 = 1 - 1 6 = 5 6

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