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JEE Main202524 Jan 2025Evening ShiftMathematicsStraight LinesActual

Let the points ( 11 2 , ) lie on or inside the triangle with sides x+y=11, x+2 y=16 and 2 x+3 y=29 . Then the product of the smallest and the largest values of is equal to :

Options

  1. A44
  2. B22
  3. C33
  4. D55

Correct answer

C. 33

Step-by-step solution

Clearly, x= 11 2 intersect x+y-11=0 at ( 11 2 , 11 2 ) and 2 x+3 y-29=0 at ( 11 2 , 6 ) = [ 11 2 , 6 ] _ _ = 11 2 6=33

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