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AP EAMCET20227 Jul 2022Morning ShiftMathematicsStraight LinesActual

If P( , ) lies inside the triangle formed by the vertices (0,0), ( 3 2 , 0 ) and (0, 3 2 ) , then lies in the interval

Options

  1. A(0, 3 )
  2. B(0, 4 )
  3. C(0, 6 )
  4. D(0, 12 )

Correct answer

D. (0, 12 )

Step-by-step solution

P and A will lie on the same side of x=0 . >0 ...(i) P and B will lie on the same side of y=0 . >0 ...(ii) P and O will lie on the same side of x+y= 3 2 . aligned & (0+0- 3 2 ) ( + - 3 2 )>0 & (0+0- 3 2 ) ( + - 3 2 )>0 & + < 3 2 ( + 4 ) < 3 2 aligned + 4 (0, 3 ) ( 2 3 , ) ...(iii) From Eqs. (i), (ii) and (iii), (0, 12 ) ( 5 12 , 2 )

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