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AP EAMCET202316 May 2023Evening ShiftMathematicsStraight LinesActual

If PS is the median of the triangle with vertices P (2,2) , Q (6,-1) and R (7,3) , then the equation of the line passing through (1,-1) and parallel to PS is

Options

  1. A4 x+7 y+3=0
  2. B2 x-9 y-11=0
  3. C4 x-7 y-11=0
  4. D2 x+9 y+7=0

Correct answer

D. 2 x+9 y+7=0

Step-by-step solution

Since S is the mid point of Q & R so S = ( 7+6 2 , 3-1 2 )= ( 13 2 , 1 ) Now, slope of PS =m= 2-1 2- 13 2 = -2 9 Since equation of line passing through (1,-1) and having slope -2 9 is aligned & y-(-1)= -2 9 (x-1) y+1= -2 x+2 9 & 9 y+9+2 x-2=0 2 x+9 y+7=0 aligned

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