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AP EAMCET20228 Jul 2022Morning ShiftMathematicsStraight LinesActual

Suppose the vertices of a triangle are given by A (0,3) , B (-2,0) and C (6,1) . For ( , +1) to lie inside the triangle, should lie in the interval

Options

  1. A( -6 7 , 4 )
  2. B( 4 5 , 4 )
  3. C(- , -6 7 ) (4, )
  4. D( -6 7 , 3 2 )

Correct answer

D. ( -6 7 , 3 2 )

Step-by-step solution

Given points A (0,3) B (-2,0) and C (6,1) as vertices of triangle ABC how Line A C=x+3 y=9 ...(i) and BC = x -8 y =-2 ...(ii) for ( , +1) lies in side te triangle ABC Let = x y = x -1 ...(iii) On solving (i) and (iii) we get ( 3 2 , 5 2 ) and solving (ii) and (iii) we get ( -6 7 , 1 7 ) ( -6 7 , 3 2 )

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