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KCET2014MathematicsThree Dimensional Geometry

If ( x+y 2, x 0, y 0 ) the point at which maximum value of ( 3 x+2 y ) attained will be

Options

  1. A( (0,0) )
  2. B( ( 1 2 , 1 2 ) )
  3. C( (0,2) )
  4. D( (2,0) )

Correct answer

D. ( (2,0) )

Step-by-step solution

Given that x+y 2 (1)x 0 . y 0 (2) Corner points are (0,0),(2,0),(0,2) Maximum of 3 x+2 y is at (2,0) array l Given that x+y 2 (1) x 0 . y 0 (2) Corner points are (0,0),(2,0),(0,2) Maximum of 3 x+2 y is at (2,0) array

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