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AP EAMCET201922 Apr 2019Morning ShiftMathematicsStraight LinesActual

The set of values that ( ) can assume so that the point ((0, ) ) should lie on or inside the triangle having sides (3 x+y+2=0 ), (2 x-3 y+5=0 ) and (x+4 y-14=0 ), is

Options

  1. A( [ 5 3 , 7 2 ] )
  2. B( [ 2 3 , 5 2 ] )
  3. C( [- 1 3 , 2 3 ] )
  4. D( [ 1 2 , 5 2 ] )

Correct answer

A. ( [ 5 3 , 7 2 ] )

Step-by-step solution

According to given information, the diagram will be as following Let (L₁ 3 x+y+2=0 ) ( aligned & x - 2 3 + y -2 =1 & x L₂ + y 5 =1 & x 3 & and L₃ 14 x+4 y-14=0 & y 7 / 2 =1 aligned ) It is clear from the diagram that set of values of ( [ 5 3 , 7 2 ]. )

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