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AP EAMCET2011MathematicsStraight Lines

The number of points P(x, y) with natural numbers as coordinates that lie inside the quadrilateral formed by the lines 2 x+y=2 , x=0, y=0 and x+y=5 is

Options

  1. A12
  2. B10
  3. C6
  4. D4

Correct answer

C. 6

Step-by-step solution

Given equations are 2 x+y=2, x=0, y=0 and x+y=5 . The total integral points lies inside the quadrilateral A B C D is (1,1),(1,2),(2,1),(2,2),(1,3),(3,1)

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