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MHT CET2016MathematicsArea Under Curves

The shaded part of given figure indicates the feasible region Then the constrants are

Options

  1. Ax , y ≥ 0 , x + y ≥ 0 , x ≥ 5 , y ≤ 3
  2. Bx , y ≥ 0 , x - y ≥ 0 , x ≤ 5 , y ≤ 3
  3. Cx , y ≥ 0 , x - y ≥ 0 , x ≤ 5 , y ≥ 3
  4. Dx , y ≥ 0 , x - y ≤ 0 , x ≤ 5 , y ≤ 3

Correct answer

B. x , y ≥ 0 , x - y ≥ 0 , x ≤ 5 , y ≤ 3

Step-by-step solution

Now, as the graph is in first quadrant. So, (x 0, y 0 ), The region lies to the left of the line ( x =5 ), So ( x 5 ) It lies below the line (y=3 ), So (y 3 ) Also, the region lies to the right of the line (x=y ). So, (x y ) or (x-y 0 ) answer (b)

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