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BITSAT2014MathematicsLinear ProgrammingActual

Consider x 2 + y 4 1 and x 3 + y 2 1, x, y 0 . Then number of possible solutions are :

Options

  1. AZero
  2. BUnique
  3. CInfinite
  4. DNone of these

Correct answer

C. Infinite

Step-by-step solution

Consider x 2 + y 4 1, x 3 + y 2 1 , x, y 0 convert them into equation and solve them and draw the graph of these equations we get y=1 and x=3 / 2 From graph region is finite but numbers of possible solutions are infinite because for different values of x and y we have different or infinite no. of solutions.

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